diff options
Diffstat (limited to 'include')
| -rw-r--r-- | include/astra/FanFlatBeamLineKernelProjector2D.inl | 305 | ||||
| -rw-r--r-- | include/astra/FanFlatProjectionGeometry2D.h | 5 | ||||
| -rw-r--r-- | include/astra/GeometryUtil2D.h | 12 | ||||
| -rw-r--r-- | include/astra/ParallelBeamBlobKernelProjector2D.h | 7 | ||||
| -rw-r--r-- | include/astra/ParallelBeamBlobKernelProjector2D.inl | 312 | ||||
| -rw-r--r-- | include/astra/ParallelBeamLineKernelProjector2D.h | 2 | ||||
| -rw-r--r-- | include/astra/ParallelBeamLineKernelProjector2D.inl | 400 | ||||
| -rw-r--r-- | include/astra/ParallelBeamLinearKernelProjector2D.h | 2 | ||||
| -rw-r--r-- | include/astra/ParallelBeamLinearKernelProjector2D.inl | 257 | ||||
| -rw-r--r-- | include/astra/ParallelBeamStripKernelProjector2D.h | 1 | ||||
| -rw-r--r-- | include/astra/ParallelBeamStripKernelProjector2D.inl | 464 | ||||
| -rw-r--r-- | include/astra/ParallelProjectionGeometry2D.h | 10 | ||||
| -rw-r--r-- | include/astra/ParallelVecProjectionGeometry2D.h | 163 | ||||
| -rw-r--r-- | include/astra/ProjectionGeometry2D.h | 13 |
14 files changed, 1073 insertions, 880 deletions
diff --git a/include/astra/FanFlatBeamLineKernelProjector2D.inl b/include/astra/FanFlatBeamLineKernelProjector2D.inl index 2f87659..23438fb 100644 --- a/include/astra/FanFlatBeamLineKernelProjector2D.inl +++ b/include/astra/FanFlatBeamLineKernelProjector2D.inl @@ -25,9 +25,7 @@ along with the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>. ----------------------------------------------------------------------- $Id$ */ - - -using namespace astra; +#define policy_weight(p,rayindex,volindex,weight) if (p.pixelPrior(volindex)) { p.addWeight(rayindex, volindex, weight); p.pixelPosterior(volindex); } template <typename Policy> void CFanFlatBeamLineKernelProjector2D::project(Policy& p) @@ -51,246 +49,165 @@ void CFanFlatBeamLineKernelProjector2D::projectSingleRay(int _iProjection, int _ } //---------------------------------------------------------------------------------------- -// PROJECT BLOCK +// PROJECT BLOCK - vector projection geometry template <typename Policy> void CFanFlatBeamLineKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p) { - // variables - float32 sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, S, T, t, I, P, x, x2; - float32 lengthPerRow, updatePerRow, inv_pixelLengthX, lengthPerCol, updatePerCol, inv_pixelLengthY; - int iVolumeIndex, iRayIndex, row, col, iAngle, iDetector, x1; - bool switch_t; + // get vector geometry + const CFanFlatVecProjectionGeometry2D* pVecProjectionGeometry; + if (dynamic_cast<CFanFlatProjectionGeometry2D*>(m_pProjectionGeometry)) { + pVecProjectionGeometry = dynamic_cast<CFanFlatProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry(); + } else { + pVecProjectionGeometry = dynamic_cast<CFanFlatVecProjectionGeometry2D*>(m_pProjectionGeometry); + } + + // precomputations + const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX(); + const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY(); + const float32 inv_pixelLengthX = 1.0f / pixelLengthX; + const float32 inv_pixelLengthY = 1.0f / pixelLengthY; + const int colCount = m_pVolumeGeometry->getGridColCount(); + const int rowCount = m_pVolumeGeometry->getGridRowCount(); + const int detCount = pVecProjectionGeometry->getDetectorCount(); + const float32 Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f; + const float32 Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f; - const CFanFlatProjectionGeometry2D* pProjectionGeometry = dynamic_cast<CFanFlatProjectionGeometry2D*>(m_pProjectionGeometry); - const CFanFlatVecProjectionGeometry2D* pVecProjectionGeometry = dynamic_cast<CFanFlatVecProjectionGeometry2D*>(m_pProjectionGeometry); + // loop angles + #pragma omp parallel for + for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { - float32 old_theta, theta, alpha; - const SFanProjection * proj = 0; + // variables + float32 Dx, Dy, Rx, Ry, S, T, weight, c, r, deltac, deltar, offset, RxOverRy, RyOverRx; + float32 lengthPerRow, lengthPerCol, invTminSTimesLengthPerRow, invTminSTimesLengthPerCol; + int iVolumeIndex, iRayIndex, row, col, iDetector; - // loop angles - for (iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { - - // get theta - if (pProjectionGeometry) { - old_theta = pProjectionGeometry->getProjectionAngle(iAngle); - } - else if (pVecProjectionGeometry) { - proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; - old_theta = atan2(-proj->fSrcX, proj->fSrcY); - if (old_theta < 0) old_theta += 2*PI; - } else { - assert(false); - } - - switch_t = false; - if (old_theta >= 7*PIdiv4) old_theta -= 2*PI; - if (old_theta >= 3*PIdiv4) { - old_theta -= PI; - switch_t = true; - } + const SFanProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; // loop detectors for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { - iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector; + iRayIndex = iAngle * detCount + iDetector; // POLICY: RAY PRIOR if (!p.rayPrior(iRayIndex)) continue; - - // get values - if (pProjectionGeometry) { - t = -pProjectionGeometry->indexToDetectorOffset(iDetector); - alpha = atan(t / pProjectionGeometry->getSourceDetectorDistance()); - t = sin(alpha) * pProjectionGeometry->getOriginSourceDistance(); - } - else if (pVecProjectionGeometry) { - float32 detX = proj->fDetSX + proj->fDetUX*(0.5f + iDetector); - float32 detY = proj->fDetSY + proj->fDetUY*(0.5f + iDetector); - alpha = angleBetweenVectors(-proj->fSrcX, -proj->fSrcY, detX - proj->fSrcX, detY - proj->fSrcY); - t = sin(alpha) * sqrt(proj->fSrcX*proj->fSrcX + proj->fSrcY*proj->fSrcY); + + Dx = proj->fDetSX + (iDetector+0.5f) * proj->fDetUX; + Dy = proj->fDetSY + (iDetector+0.5f) * proj->fDetUY; + + Rx = proj->fSrcX - Dx; + Ry = proj->fSrcY - Dy; + + bool vertical = fabs(Rx) < fabs(Ry); + if (vertical) { + RxOverRy = Rx/Ry; + lengthPerRow = pixelLengthX * sqrt(Rx*Rx + Ry*Ry) / abs(Ry); + deltac = -pixelLengthY * RxOverRy * inv_pixelLengthX; + S = 0.5f - 0.5f*fabs(RxOverRy); + T = 0.5f + 0.5f*fabs(RxOverRy); + invTminSTimesLengthPerRow = lengthPerRow / (T - S); } else { - assert(false); + RyOverRx = Ry/Rx; + lengthPerCol = pixelLengthY * sqrt(Rx*Rx + Ry*Ry) / abs(Rx); + deltar = -pixelLengthX * RyOverRx * inv_pixelLengthY; + S = 0.5f - 0.5f*fabs(RyOverRx); + T = 0.5f + 0.5f*fabs(RyOverRx); + invTminSTimesLengthPerCol = lengthPerCol / (T - S); } - if (switch_t) t = -t; - theta = old_theta + alpha; - - // precalculate sin, cos, 1/cos - sin_theta = sin(theta); - cos_theta = cos(theta); - inv_sin_theta = 1.0f / sin_theta; - inv_cos_theta = 1.0f / cos_theta; - - // precalculate kernel limits - lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta; - updatePerRow = sin_theta * inv_cos_theta; - inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX(); - - // precalculate kernel limits - lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta; - updatePerCol = cos_theta * inv_sin_theta; - inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY(); - - // precalculate S and T - S = 0.5f - 0.5f * ((updatePerRow < 0) ? -updatePerRow : updatePerRow); - T = 0.5f - 0.5f * ((updatePerCol < 0) ? -updatePerCol : updatePerCol); + bool isin = false; // vertically - if (old_theta <= PIdiv4) { - - // calculate x for row 0 - P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta; - x = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX; + if (vertical) { + + // calculate c for row 0 + c = (Dx + (Ey - Dy)*RxOverRy - Ex) * inv_pixelLengthX; // for each row - for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) { - - // get coords - x1 = int((x > 0.0f) ? x : x-1.0f); - x2 = x - x1; - x += updatePerRow; + for (row = 0; row < rowCount; ++row, c += deltac) { - if (x1 < -1 || x1 > m_pVolumeGeometry->getGridColCount()) continue; + col = int(c+0.5f); + if (col <= 0 || col >= colCount-1) { if (!isin) continue; else break; } + offset = c - float32(col); // left - if (x2 < 0.5f-S) { - I = (0.5f - S + x2) / (1.0f - 2.0f*S) * lengthPerRow; - - if (x1-1 >= 0 /*&& x1-1 < m_pVolumeGeometry->getGridColCount()*/) {//x1 is always less than or equal to gridColCount because of the "continue" in the beginning of the for-loop - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1-1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-I); - p.pixelPosterior(iVolumeIndex); - } - } - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - } + if (offset < -S) { + weight = (offset + T) * invTminSTimesLengthPerRow; - // center - else if (x2 <= 0.5f+S) { - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow); - p.pixelPosterior(iVolumeIndex); - } - } + iVolumeIndex = row * colCount + col - 1; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerRow-weight) + + iVolumeIndex++; + policy_weight(p, iRayIndex, iVolumeIndex, weight) } // right - else if (x2 <= 1.0f) { - I = (1.5f - S - x2) / (1.0f - 2.0f*S) * lengthPerRow; - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - if (/*x1+1 >= 0 &&*/ x1+1 < m_pVolumeGeometry->getGridColCount()) {//x1 is always greater than or equal to -1 because of the "continue" in the beginning of the for-loop - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-I); - p.pixelPosterior(iVolumeIndex); - } - } + else if (S < offset) { + weight = (offset - S) * invTminSTimesLengthPerRow; + + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerRow-weight) + + iVolumeIndex++; + policy_weight(p, iRayIndex, iVolumeIndex, weight) } + + // centre + else { + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerRow) + } + isin = true; } } // horizontally - //else if (PIdiv4 <= old_theta && old_theta <= 3*PIdiv4) { else { - // calculate point P - P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta; - x = (m_pVolumeGeometry->getWindowMaxY() - P) * inv_pixelLengthY; + // calculate r for col 0 + r = -(Dy + (Ex - Dx)*RyOverRx - Ey) * inv_pixelLengthY; // for each col - for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) { - - // get coords - x1 = int((x > 0.0f) ? x : x-1.0f); - x2 = x - x1; - x += updatePerCol; + for (col = 0; col < colCount; ++col, r += deltar) { - if (x1 < -1 || x1 > m_pVolumeGeometry->getGridRowCount()) continue; + int row = int(r+0.5f); + if (row <= 0 || row >= rowCount-1) { if (!isin) continue; else break; } + offset = r - float32(row); // up - if (x2 < 0.5f-T) { - I = (0.5f - T + x2) / (1.0f - 2.0f*T) * lengthPerCol; - - if (x1-1 >= 0 /*&& x1-1 < m_pVolumeGeometry->getGridRowCount()*/) {//x1 is always less than or equal to gridRowCount because of the "continue" in the beginning of the for-loop - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1-1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I); - p.pixelPosterior(iVolumeIndex); - } - } - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - } + if (offset < -S) { + weight = (offset + T) * invTminSTimesLengthPerCol; + + iVolumeIndex = (row-1) * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol-weight) - // center - else if (x2 <= 0.5f+T) { - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol); - p.pixelPosterior(iVolumeIndex); - } - } + iVolumeIndex += colCount; + policy_weight(p, iRayIndex, iVolumeIndex, weight) } // down - else if (x2 <= 1.0f) { - I = (1.5f - T - x2) / (1.0f - 2.0f*T) * lengthPerCol; - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - if (/*x1+1 >= 0 &&*/ x1+1 < m_pVolumeGeometry->getGridRowCount()) {//x1 is always greater than or equal to -1 because of the "continue" in the beginning of the for-loop - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I); - p.pixelPosterior(iVolumeIndex); - } - } + else if (S < offset) { + weight = (offset - S) * invTminSTimesLengthPerCol; + + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol-weight) + + iVolumeIndex += colCount; + policy_weight(p, iRayIndex, iVolumeIndex, weight) + } + + // centre + else { + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol) } + isin = true; } - } // end loop col + } // POLICY: RAY POSTERIOR p.rayPosterior(iRayIndex); } // end loop detector } // end loop angles + } diff --git a/include/astra/FanFlatProjectionGeometry2D.h b/include/astra/FanFlatProjectionGeometry2D.h index 180fe68..8750232 100644 --- a/include/astra/FanFlatProjectionGeometry2D.h +++ b/include/astra/FanFlatProjectionGeometry2D.h @@ -30,6 +30,7 @@ $Id$ #define _INC_ASTRA_FANFLATPROJECTIONGEOMETRY2D #include "ProjectionGeometry2D.h" +#include "FanFlatVecProjectionGeometry2D.h" #include <cmath> @@ -190,6 +191,10 @@ public: * @return a unit vector describing the direction */ virtual CVector3D getProjectionDirection(int _iProjectionIndex, int _iDetectorIndex); + + /** Create a vector geom + */ + CFanFlatVecProjectionGeometry2D* toVectorGeometry(); }; diff --git a/include/astra/GeometryUtil2D.h b/include/astra/GeometryUtil2D.h index d4ee92e..680cecd 100644 --- a/include/astra/GeometryUtil2D.h +++ b/include/astra/GeometryUtil2D.h @@ -31,6 +31,18 @@ $Id$ namespace astra { +struct SParProjection { + // the ray direction + float fRayX, fRayY; + + // the start of the (linear) detector + float fDetSX, fDetSY; + + // the length of a single detector pixel + float fDetUX, fDetUY; +}; + + struct SFanProjection { // the source float fSrcX, fSrcY; diff --git a/include/astra/ParallelBeamBlobKernelProjector2D.h b/include/astra/ParallelBeamBlobKernelProjector2D.h index ecf71ef..a718f56 100644 --- a/include/astra/ParallelBeamBlobKernelProjector2D.h +++ b/include/astra/ParallelBeamBlobKernelProjector2D.h @@ -215,7 +215,12 @@ protected: float32 m_fBlobSampleRate; //< At which interval are the inserted blob values evaluated? int m_iBlobSampleCount; //< Number of evaluated blob samples float32* m_pfBlobValues; //< Evaluated blob values - float32* m_pfBlobValuesNeg; //< Evaluated blob values + + /** Internal policy-based projection of a range of angles and range. + * (_i*From is inclusive, _i*To exclusive) */ + template <typename Policy> + void projectBlock_internal(int _iProjFrom, int _iProjTo, + int _iDetFrom, int _iDetTo, Policy& _policy); }; diff --git a/include/astra/ParallelBeamBlobKernelProjector2D.inl b/include/astra/ParallelBeamBlobKernelProjector2D.inl index 467e066..c2aa193 100644 --- a/include/astra/ParallelBeamBlobKernelProjector2D.inl +++ b/include/astra/ParallelBeamBlobKernelProjector2D.inl @@ -27,186 +27,206 @@ $Id$ */ - -//---------------------------------------------------------------------------------------- -// PROJECT ALL template <typename Policy> void CParallelBeamBlobKernelProjector2D::project(Policy& p) { - for (int iAngle = 0; iAngle < m_pProjectionGeometry->getProjectionAngleCount(); ++iAngle) { - for (int iDetector = 0; iDetector < m_pProjectionGeometry->getDetectorCount(); ++iDetector) { - projectSingleRay(iAngle, iDetector, p); - } - } + projectBlock_internal(0, m_pProjectionGeometry->getProjectionAngleCount(), + 0, m_pProjectionGeometry->getDetectorCount(), p); } - -//---------------------------------------------------------------------------------------- -// PROJECT SINGLE PROJECTION template <typename Policy> void CParallelBeamBlobKernelProjector2D::projectSingleProjection(int _iProjection, Policy& p) { - for (int iDetector = 0; iDetector < m_pProjectionGeometry->getDetectorCount(); ++iDetector) { - projectSingleRay(_iProjection, iDetector, p); - } + projectBlock_internal(_iProjection, _iProjection + 1, + 0, m_pProjectionGeometry->getDetectorCount(), p); } - - -//---------------------------------------------------------------------------------------- -// PROJECT SINGLE RAY template <typename Policy> void CParallelBeamBlobKernelProjector2D::projectSingleRay(int _iProjection, int _iDetector, Policy& p) { - ASTRA_ASSERT(m_bIsInitialized); + projectBlock_internal(_iProjection, _iProjection + 1, + _iDetector, _iDetector + 1, p); +} - int iRayIndex = _iProjection * m_pProjectionGeometry->getDetectorCount() + _iDetector; +//---------------------------------------------------------------------------------------- +// PROJECT BLOCK - vector projection geometry +// +// Kernel limitations: isotropic pixels (PixelLengthX == PixelLengthY) +// +// For each angle/detector pair: +// +// Let D=(Dx,Dy) denote the centre of the detector (point) in volume coordinates, and +// let R=(Rx,Ry) denote the direction of the ray (vector). +// +// For mainly vertical rays (|Rx|<=|Ry|), +// let E=(Ex,Ey) denote the centre of the most upper left pixel: +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// and let F=(Fx,Fy) denote a vector to the next pixel +// F = (PixelLengthX, 0) +// +// The intersection of the ray (D+aR) with the centre line of the upper row of pixels (E+bF) is +// { Dx + a*Rx = Ex + b*Fx +// { Dy + a*Ry = Ey + b*Fy +// Solving for (a,b) results in: +// a = (Ey + b*Fy - Dy)/Ry +// = (Ey - Dy)/Ry +// b = (Dx + a*Rx - Ex)/Fx +// = (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// +// Define c as the x-value of the intersection of the ray with the upper row in pixel coordinates. +// c = b +// +// The intersection of the ray (D+aR) with the centre line of the second row of pixels (E'+bF) with +// E'=(WindowMinX + PixelLengthX/2, WindowMaxY - 3*PixelLengthY/2) +// expressed in x-value pixel coordinates is +// c' = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx. +// And thus: +// deltac = c' - c = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx - (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// = [(Ey' - Dy)*Rx/Ry - (Ey - Dy)*Rx/Ry]/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = -PixelLengthY*(Rx/Ry)/Fx. +// +// Given c on a certain row, its pixel directly on its left (col), and the distance (offset) to it, can be found: +// col = floor(c) +// offset = c - col +// +// The index of this pixel is +// volumeIndex = row * colCount + col +// +// +// Mainly horizontal rays (|Rx|<=|Ry|) are handled in a similar fashion: +// +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// F = (0, -PixelLengthX) +// +// a = (Ex + b*Fx - Dx)/Rx = (Ex - Dx)/Rx +// b = (Dy + a*Ry - Ey)/Fy = (Dy + (Ex - Dx)*Ry/Rx - Ey)/Fy +// r = b +// deltar = PixelLengthX*(Ry/Rx)/Fy. +// row = floor(r+1/2) +// offset = r - row +// +template <typename Policy> +void CParallelBeamBlobKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p) +{ + // get vector geometry + const CParallelVecProjectionGeometry2D* pVecProjectionGeometry; + if (dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)) { + pVecProjectionGeometry = dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry(); + } else { + pVecProjectionGeometry = dynamic_cast<CParallelVecProjectionGeometry2D*>(m_pProjectionGeometry); + } - // POLICY: RAY PRIOR - if (!p.rayPrior(iRayIndex)) return; + // precomputations + const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX(); + const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY(); + const float32 inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX(); + const float32 inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY(); + const int colCount = m_pVolumeGeometry->getGridColCount(); + const int rowCount = m_pVolumeGeometry->getGridRowCount(); + const int detCount = pVecProjectionGeometry->getDetectorCount(); + + // loop angles + #pragma omp parallel for + for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { + + // variables + float32 Dx, Dy, Ex, Ey, c, r, deltac, deltar, offset, invBlobExtent, RxOverRy, RyOverRx; + int iVolumeIndex, iRayIndex, row, col, iDetector; + int col_left, col_right, row_top, row_bottom, index; + + const SParProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; + + bool vertical = fabs(proj->fRayX) < fabs(proj->fRayY); + if (vertical) { + RxOverRy = proj->fRayX/proj->fRayY; + deltac = -m_pVolumeGeometry->getPixelLengthY() * (proj->fRayX/proj->fRayY) * inv_pixelLengthX; + invBlobExtent = m_pVolumeGeometry->getPixelLengthY() / abs(m_fBlobSize * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / proj->fRayY); + } else { + RyOverRx = proj->fRayY/proj->fRayX; + deltar = -m_pVolumeGeometry->getPixelLengthX() * (proj->fRayY/proj->fRayX) * inv_pixelLengthY; + invBlobExtent = m_pVolumeGeometry->getPixelLengthX() / abs(m_fBlobSize * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / proj->fRayX); + } - // get values - float32 t = m_pProjectionGeometry->indexToDetectorOffset(_iDetector); - float32 theta = m_pProjectionGeometry->getProjectionAngle(_iProjection); - if (theta >= 7*PIdiv4) theta -= 2*PI; + Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f; + Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f; - bool flip = false; + // loop detectors + for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { + + iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector; - if (theta >= 3*PIdiv4) { - theta -= PI; - t = -t; - flip = true; - } + // POLICY: RAY PRIOR + if (!p.rayPrior(iRayIndex)) continue; + + Dx = proj->fDetSX + (iDetector+0.5f) * proj->fDetUX; + Dy = proj->fDetSY + (iDetector+0.5f) * proj->fDetUY; + // vertically + if (vertical) { - if (theta <= PIdiv4) { // -pi/4 <= theta <= pi/4 + // calculate c for row 0 + c = (Dx + (Ey - Dy)*RxOverRy - Ex) * inv_pixelLengthX; - // precalculate sin, cos, 1/cos - float32 sin_theta = sin(theta); - float32 cos_theta = cos(theta); - float32 inv_cos_theta = 1.0f / cos_theta; + // loop rows + for (row = 0; row < rowCount; ++row, c += deltac) { - // precalculate other stuff - float32 lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta; - float32 updatePerRow = sin_theta * lengthPerRow; - float32 inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX(); - float32 pixelLengthX_over_blobSize = m_pVolumeGeometry->getPixelLengthX() / m_fBlobSize; - - // some variables - int row, col, xmin, xmax; - float32 P, x, d; + col_left = int(c - 0.5f - m_fBlobSize); + col_right = int(c + 0.5f + m_fBlobSize); - // calculate P and x for row 0 - P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta; - x = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX - 0.5f; + if (col_left < 0) col_left = 0; + if (col_right > colCount-1) col_right = colCount-1; - // for each row - for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) { - - // calculate extent - xmin = (int)ceil((P - m_fBlobSize - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX - 0.5f); - xmax = (int)floor((P + m_fBlobSize - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX - 0.5f); - - // add pixels - for (col = xmin; col <= xmax; col++) { - if (col >= 0 && col < m_pVolumeGeometry->getGridColCount()) { - //d = abs(x - col) * pixelLengthX_over_blobSize; - //index = (int)(d*m_iBlobSampleCount+0.5f); - //float32 fWeight = m_pfBlobValues[min(index,m_iBlobSampleCount-1)] * lengthPerRow; - - float32 fWeight; - int index; - if ((x >= col) ^ flip) { - d = abs(x - col) * pixelLengthX_over_blobSize * cos_theta; - index = (int)(d*m_iBlobSampleCount+0.5f); - fWeight = m_pfBlobValues[min(index,m_iBlobSampleCount-1)]; - } else { - d = abs(x - col) * pixelLengthX_over_blobSize * cos_theta; - index = (int)(d*m_iBlobSampleCount+0.5f); - fWeight = m_pfBlobValuesNeg[min(index,m_iBlobSampleCount-1)]; - } + // loop columns + for (col = col_left; col <= col_right; ++col) { - int iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, fWeight); - p.pixelPosterior(iVolumeIndex); + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + offset = abs(c - float32(col)) * invBlobExtent; + index = (int)(offset*m_iBlobSampleCount+0.5f); + p.addWeight(iRayIndex, iVolumeIndex, m_pfBlobValues[min(index,m_iBlobSampleCount-1)]); + p.pixelPosterior(iVolumeIndex); + } } } } - // update P and x - P += updatePerRow; - x += updatePerRow * inv_pixelLengthX; - } + // horizontally + else { - } else { // pi/4 < theta < 3pi/4 - - // precalculate sin cos - float32 sin_90_theta = sin(PIdiv2-theta); - float32 cos_90_theta = cos(PIdiv2-theta); - float32 inv_cos_90_theta = 1.0f / cos_90_theta; - - // precalculate other stuff - float32 lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_cos_90_theta; - float32 updatePerCol = sin_90_theta * lengthPerCol; - float32 inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY(); - float32 pixelLengthY_over_blobSize = m_pVolumeGeometry->getPixelLengthY() / m_fBlobSize; - - // some variables - int row, col, xmin, xmax; - float32 P,x, d; - - // calculate P and x for col 0 - P = (sin_90_theta * m_pVolumeGeometry->pixelColToCenterX(0) - t) * inv_cos_90_theta; - x = (P - m_pVolumeGeometry->getWindowMinY()) * inv_pixelLengthY - 0.5f; - - // for each col - for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) { - - // calculate extent - xmin = (int)ceil((P - m_fBlobSize - m_pVolumeGeometry->getWindowMinY()) * inv_pixelLengthY - 0.5f); - xmax = (int)floor((P + m_fBlobSize - m_pVolumeGeometry->getWindowMinY()) * inv_pixelLengthY - 0.5f); - - // add pixels - for (row = xmin; row <= xmax; row++) { - if (row >= 0 && row < m_pVolumeGeometry->getGridRowCount()) { - //d = abs(x - row) * pixelLengthY_over_blobSize; - //int index = (int)(d*m_iBlobSampleCount+0.5f); - //float32 fWeight = m_pfBlobValues[min(index,m_iBlobSampleCount-1)] * lengthPerCol; - - float32 fWeight; - int index; - if ((x <= row) ^ flip) { - d = abs(x - row) * pixelLengthY_over_blobSize * cos_90_theta; - index = (int)(d*m_iBlobSampleCount+0.5f); - fWeight = m_pfBlobValues[min(index,m_iBlobSampleCount-1)]; - } else { - d = abs(x - row) * pixelLengthY_over_blobSize * cos_90_theta; - index = (int)(d*m_iBlobSampleCount+0.5f); - fWeight = m_pfBlobValuesNeg[min(index,m_iBlobSampleCount-1)]; - } - - - int iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, fWeight); - p.pixelPosterior(iVolumeIndex); - } - } - } + // calculate r for col 0 + r = -(Dy + (Ex - Dx)*RyOverRx - Ey) * inv_pixelLengthY; - // update P and x - P += updatePerCol; - x += updatePerCol * inv_pixelLengthY; - } + // loop columns + for (col = 0; col < colCount; ++col, r += deltar) { - } + row_top = int(r - 0.5f - m_fBlobSize); + row_bottom = int(r + 0.5f + m_fBlobSize); - // POLICY: RAY POSTERIOR - p.rayPosterior(iRayIndex); + if (row_top < 0) row_top = 0; + if (row_bottom > rowCount-1) row_bottom = rowCount-1; + // loop rows + for (row = row_top; row <= row_bottom; ++row) { + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + offset = abs(r - float32(row)) * invBlobExtent; + index = (int)(offset*m_iBlobSampleCount+0.5f); + p.addWeight(iRayIndex, iVolumeIndex, m_pfBlobValues[min(index,m_iBlobSampleCount-1)]); + p.pixelPosterior(iVolumeIndex); + } + } + } + } + + // POLICY: RAY POSTERIOR + p.rayPosterior(iRayIndex); + + } // end loop detector + } // end loop angles } diff --git a/include/astra/ParallelBeamLineKernelProjector2D.h b/include/astra/ParallelBeamLineKernelProjector2D.h index 24f43d5..5a10021 100644 --- a/include/astra/ParallelBeamLineKernelProjector2D.h +++ b/include/astra/ParallelBeamLineKernelProjector2D.h @@ -30,6 +30,7 @@ $Id$ #define _INC_ASTRA_PARALLELBEAMLINEKERNELPROJECTOR #include "ParallelProjectionGeometry2D.h" +#include "ParallelVecProjectionGeometry2D.h" #include "Float32Data2D.h" #include "Projector2D.h" @@ -180,6 +181,7 @@ protected: template <typename Policy> void projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& _policy); + }; inline std::string CParallelBeamLineKernelProjector2D::getType() diff --git a/include/astra/ParallelBeamLineKernelProjector2D.inl b/include/astra/ParallelBeamLineKernelProjector2D.inl index c11f243..199cfd7 100644 --- a/include/astra/ParallelBeamLineKernelProjector2D.inl +++ b/include/astra/ParallelBeamLineKernelProjector2D.inl @@ -25,12 +25,13 @@ along with the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>. ----------------------------------------------------------------------- $Id$ */ +#define policy_weight(p,rayindex,volindex,weight) if (p.pixelPrior(volindex)) { p.addWeight(rayindex, volindex, weight); p.pixelPosterior(volindex); } template <typename Policy> void CParallelBeamLineKernelProjector2D::project(Policy& p) { projectBlock_internal(0, m_pProjectionGeometry->getProjectionAngleCount(), - 0, m_pProjectionGeometry->getDetectorCount(), p); + 0, m_pProjectionGeometry->getDetectorCount(), p); } template <typename Policy> @@ -49,235 +50,265 @@ void CParallelBeamLineKernelProjector2D::projectSingleRay(int _iProjection, int //---------------------------------------------------------------------------------------- -// PROJECT BLOCK +// PROJECT BLOCK - vector projection geometry +// +// Kernel limitations: isotropic pixels (PixelLengthX == PixelLengthY) +// +// For each angle/detector pair: +// +// Let D=(Dx,Dy) denote the centre of the detector (point) in volume coordinates, and +// let R=(Rx,Ry) denote the direction of the ray (vector). +// +// For mainly vertical rays (|Rx|<=|Ry|), +// let E=(Ex,Ey) denote the centre of the most upper left pixel: +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// and let F=(Fx,Fy) denote a vector to the next pixel +// F = (PixelLengthX, 0) +// +// The intersection of the ray (D+aR) with the centre line of the upper row of pixels (E+bF) is +// { Dx + a*Rx = Ex + b*Fx +// { Dy + a*Ry = Ey + b*Fy +// Solving for (a,b) results in: +// a = (Ey + b*Fy - Dy)/Ry +// = (Ey - Dy)/Ry +// b = (Dx + a*Rx - Ex)/Fx +// = (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// +// Define c as the x-value of the intersection of the ray with the upper row in pixel coordinates. +// c = b +// +// The intersection of the ray (D+aR) with the centre line of the second row of pixels (E'+bF) with +// E'=(WindowMinX + PixelLengthX/2, WindowMaxY - 3*PixelLengthY/2) +// expressed in x-value pixel coordinates is +// c' = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx. +// And thus: +// deltac = c' - c = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx - (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// = [(Ey' - Dy)*Rx/Ry - (Ey - Dy)*Rx/Ry]/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = -PixelLengthY*(Rx/Ry)/Fx. +// +// Given c on a certain row, its closest pixel (col), and the distance (offset) to it, can be found: +// col = floor(c+1/2) +// offset = c - col +// +// The index of this pixel is +// volumeIndex = row * colCount + col +// +// The projection kernel is defined by +// +// _____ LengthPerRow +// /| | |\ +// / | | | \ +// __/ | | | \__ 0 +// -T -S 0 S T +// +// with S = 1/2 - 1/2*|Rx/Ry|, T = 1/2 + 1/2*|Rx/Ry|, and LengthPerRow = pixelLengthX * sqrt(Rx^2+Ry^2) / |Ry| +// +// And thus +// { (offset+T)/(T-S) * LengthPerRow if -T <= offset < S +// W_(rayIndex,volIndex) = { LengthPerRow if -S <= offset <= S +// { (offset-S)/(T-S) * LengthPerRow if S < offset <= T +// +// If -T <= offset < S, the weight for the pixel directly to the left is +// W_(rayIndex,volIndex-1) = LengthPerRow - (offset+T)/(T-S) * LengthPerRow, +// and if S < offset <= T, the weight for the pixel directly to the right is +// W_(rayIndex,volIndex+1) = LengthPerRow - (offset-S)/(T-S) * LengthPerRow. +// +// +// Mainly horizontal rays (|Rx|<=|Ry|) are handled in a similar fashion: +// +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// F = (0, -PixelLengthX) +// +// a = (Ex + b*Fx - Dx)/Rx = (Ex - Dx)/Rx +// b = (Dy + a*Ry - Ey)/Fy = (Dy + (Ex - Dx)*Ry/Rx - Ey)/Fy +// r = b +// deltar = PixelLengthX*(Ry/Rx)/Fy. +// row = floor(r+1/2) +// offset = r - row +// S = 1/2 - 1/2*|Ry/Rx| +// T = 1/2 + 1/2*|Ry/Rx| +// LengthPerCol = pixelLengthY * sqrt(Rx^2+Ry^2) / |Rx| +// +// { (offset+T)/(T-S) * LengthPerCol if -T <= offset < S +// W_(rayIndex,volIndex) = { LengthPerCol if -S <= offset <= S +// { (offset-S)/(T-S) * LengthPerCol if S < offset <= T +// +// W_(rayIndex,volIndex-colcount) = LengthPerCol - (offset+T)/(T-S) * LengthPerCol +// W_(rayIndex,volIndex+colcount) = LengthPerCol - (offset-S)/(T-S) * LengthPerCol +// template <typename Policy> void CParallelBeamLineKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p) { - // variables - float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, S, T, t, I, P, x, x2; - float32 lengthPerRow, updatePerRow, inv_pixelLengthX, lengthPerCol, updatePerCol, inv_pixelLengthY; - int iVolumeIndex, iRayIndex, row, col, iAngle, iDetector, x1; - bool switch_t; + // get vector geometry + const CParallelVecProjectionGeometry2D* pVecProjectionGeometry; + if (dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)) { + pVecProjectionGeometry = dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry(); + } else { + pVecProjectionGeometry = dynamic_cast<CParallelVecProjectionGeometry2D*>(m_pProjectionGeometry); + } + + // precomputations + const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX(); + const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY(); + const float32 inv_pixelLengthX = 1.0f / pixelLengthX; + const float32 inv_pixelLengthY = 1.0f / pixelLengthY; + const int colCount = m_pVolumeGeometry->getGridColCount(); + const int rowCount = m_pVolumeGeometry->getGridRowCount(); + const int detCount = pVecProjectionGeometry->getDetectorCount(); // loop angles - for (iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { - - // get theta - theta = m_pProjectionGeometry->getProjectionAngle(iAngle); - switch_t = false; - if (theta >= 7*PIdiv4) theta -= 2*PI; - if (theta >= 3*PIdiv4) { - theta -= PI; - switch_t = true; + #pragma omp parallel for + for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { + + // variables + float32 Dx, Dy, Ex, Ey, S, T, weight, c, r, deltac, deltar, offset; + float32 RxOverRy, RyOverRx, lengthPerRow, lengthPerCol, invTminSTimesLengthPerRow, invTminSTimesLengthPerCol; + int iVolumeIndex, iRayIndex, row, col, iDetector; + + const SParProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; + + bool vertical = fabs(proj->fRayX) < fabs(proj->fRayY); + if (vertical) { + RxOverRy = proj->fRayX/proj->fRayY; + lengthPerRow = pixelLengthX * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / abs(proj->fRayY); + deltac = -pixelLengthY * RxOverRy * inv_pixelLengthX; + S = 0.5f - 0.5f*fabs(RxOverRy); + T = 0.5f + 0.5f*fabs(RxOverRy); + invTminSTimesLengthPerRow = lengthPerRow / (T - S); + } else { + RyOverRx = proj->fRayY/proj->fRayX; + lengthPerCol = pixelLengthY * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / abs(proj->fRayX); + deltar = -pixelLengthX * RyOverRx * inv_pixelLengthY; + S = 0.5f - 0.5f*fabs(RyOverRx); + T = 0.5f + 0.5f*fabs(RyOverRx); + invTminSTimesLengthPerCol = lengthPerCol / (T - S); } - // precalculate sin, cos, 1/cos - sin_theta = sin(theta); - cos_theta = cos(theta); - inv_sin_theta = 1.0f / sin_theta; - inv_cos_theta = 1.0f / cos_theta; - - // precalculate kernel limits - lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta; - updatePerRow = sin_theta * inv_cos_theta; - inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX(); - - // precalculate kernel limits - lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta; - updatePerCol = cos_theta * inv_sin_theta; - inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY(); - - // precalculate S and T - S = 0.5f - 0.5f * ((updatePerRow < 0) ? -updatePerRow : updatePerRow); - T = 0.5f - 0.5f * ((updatePerCol < 0) ? -updatePerCol : updatePerCol); + Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f; + Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f; // loop detectors - for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { - + for (int iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { + iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector; // POLICY: RAY PRIOR if (!p.rayPrior(iRayIndex)) continue; - - // get t - t = m_pProjectionGeometry->indexToDetectorOffset(iDetector); - if (switch_t) t = -t; - // vertically - if (theta <= PIdiv4) { - - // calculate x for row 0 - P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta; - x = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX; + Dx = proj->fDetSX + (iDetector+0.5f) * proj->fDetUX; + Dy = proj->fDetSY + (iDetector+0.5f) * proj->fDetUY; - // get coords - int nextx1 = int((x > 0.0f) ? x : x-1.0f); - float nextx2 = x - nextx1; - - // for each row - for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) { + bool isin = false; + + // vertically + if (vertical) { - x1 = nextx1; - x2 = nextx2; + // calculate c for row 0 + c = (Dx + (Ey - Dy)*RxOverRy - Ex) * inv_pixelLengthX; - nextx2 += updatePerRow; - while (nextx2 >= 1.0f) { - nextx2 -= 1.0f; - nextx1++; - } - while (nextx2 < 0.0f) { - nextx2 += 1.0f; - nextx1--; - } + // loop rows + for (row = 0; row < rowCount; ++row, c += deltac) { - if (x1 < -1 || x1 > m_pVolumeGeometry->getGridColCount()) continue; + col = int(c+0.5f); + if (col <= 0 || col >= colCount-1) { if (!isin) continue; else break; } + offset = c - float32(col); // left - if (x2 < 0.5f-S) { - I = (0.5f - S + x2) / (1.0f - 2.0f*S) * lengthPerRow; - - if (x1-1 >= 0 && x1-1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1-1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-I); - p.pixelPosterior(iVolumeIndex); - } + if (offset < -S) { + weight = (offset + T) * invTminSTimesLengthPerRow; + + iVolumeIndex = row * colCount + col - 1; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-weight); + p.pixelPosterior(iVolumeIndex); } - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } + iVolumeIndex++; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + p.addWeight(iRayIndex, iVolumeIndex, weight); + p.pixelPosterior(iVolumeIndex); } } - // center - else if (x2 <= 0.5f+S) { - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow); - p.pixelPosterior(iVolumeIndex); - } - } - } - // right - else { - I = (1.5f - S - x2) / (1.0f - 2.0f*S) * lengthPerRow; - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } + else if (S < offset) { + weight = (offset - S) * invTminSTimesLengthPerRow; + + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-weight); + p.pixelPosterior(iVolumeIndex); + } + + iVolumeIndex++; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + p.addWeight(iRayIndex, iVolumeIndex, weight); + p.pixelPosterior(iVolumeIndex); } - if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow-I); - p.pixelPosterior(iVolumeIndex); - } + } + + // centre + else { + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + p.addWeight(iRayIndex, iVolumeIndex, lengthPerRow); + p.pixelPosterior(iVolumeIndex); } } + isin = true; } } // horizontally - else if (PIdiv4 <= theta && theta <= 3*PIdiv4) { + else { - // calculate point P - P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta; - x = (m_pVolumeGeometry->getWindowMaxY() - P) * inv_pixelLengthY; + // calculate r for col 0 + r = -(Dy + (Ex - Dx)*RyOverRx - Ey) * inv_pixelLengthY; - // get coords - int nextx1 = int((x > 0.0f) ? x : x-1.0f); - float nextx2 = x - nextx1; + // loop columns + for (col = 0; col < colCount; ++col, r += deltar) { - // for each col - for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) { + row = int(r+0.5f); + if (row <= 0 || row >= rowCount-1) { if (!isin) continue; else break; } + offset = r - float32(row); - x1 = nextx1; - x2 = nextx2; + // up + if (offset < -S) { + weight = (offset + T) * invTminSTimesLengthPerCol; - nextx2 += updatePerCol; - while (nextx2 >= 1.0f) { - nextx2 -= 1.0f; - nextx1++; - } - while (nextx2 < 0.0f) { - nextx2 += 1.0f; - nextx1--; - } + iVolumeIndex = (row-1) * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol-weight) - if (x1 < -1 || x1 > m_pVolumeGeometry->getGridRowCount()) continue; + iVolumeIndex += colCount; + policy_weight(p, iRayIndex, iVolumeIndex, weight) + } - // up - if (x2 < 0.5f-T) { - I = (0.5f - T + x2) / (1.0f - 2.0f*T) * lengthPerCol; - - if (x1-1 >= 0 && x1-1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1-1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I); - p.pixelPosterior(iVolumeIndex); - } - } + // down + else if (S < offset) { + weight = (offset - S) * invTminSTimesLengthPerCol; - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - } + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol-weight) - // center - else if (x2 <= 0.5f+T) { - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol); - p.pixelPosterior(iVolumeIndex); - } - } + iVolumeIndex += colCount; + policy_weight(p, iRayIndex, iVolumeIndex, weight) } - // down - else { - I = (1.5f - T - x2) / (1.0f - 2.0f*T) * lengthPerCol; - - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, I); - p.pixelPosterior(iVolumeIndex); - } - } - if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I); - p.pixelPosterior(iVolumeIndex); - } - } + // centre + else { + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, lengthPerCol) } + isin = true; } - } // end loop col + } // POLICY: RAY POSTERIOR p.rayPosterior(iRayIndex); @@ -286,4 +317,3 @@ void CParallelBeamLineKernelProjector2D::projectBlock_internal(int _iProjFrom, i } // end loop angles } - diff --git a/include/astra/ParallelBeamLinearKernelProjector2D.h b/include/astra/ParallelBeamLinearKernelProjector2D.h index 855093a..8e25c38 100644 --- a/include/astra/ParallelBeamLinearKernelProjector2D.h +++ b/include/astra/ParallelBeamLinearKernelProjector2D.h @@ -30,6 +30,7 @@ $Id$ #define _INC_ASTRA_PARALLELLINEARKERNELPROJECTOR #include "ParallelProjectionGeometry2D.h" +#include "ParallelVecProjectionGeometry2D.h" #include "Float32Data2D.h" #include "Projector2D.h" @@ -185,7 +186,6 @@ protected: void projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& _policy); - }; //---------------------------------------------------------------------------------------- diff --git a/include/astra/ParallelBeamLinearKernelProjector2D.inl b/include/astra/ParallelBeamLinearKernelProjector2D.inl index 67e0d58..ecbdeb3 100644 --- a/include/astra/ParallelBeamLinearKernelProjector2D.inl +++ b/include/astra/ParallelBeamLinearKernelProjector2D.inl @@ -25,13 +25,13 @@ along with the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>. ----------------------------------------------------------------------- $Id$ */ - +#define policy_weight(p,rayindex,volindex,weight) if (p.pixelPrior(volindex)) { p.addWeight(rayindex, volindex, weight); p.pixelPosterior(volindex); } template <typename Policy> void CParallelBeamLinearKernelProjector2D::project(Policy& p) { projectBlock_internal(0, m_pProjectionGeometry->getProjectionAngleCount(), - 0, m_pProjectionGeometry->getDetectorCount(), p); + 0, m_pProjectionGeometry->getDetectorCount(), p); } template <typename Policy> @@ -48,47 +48,127 @@ void CParallelBeamLinearKernelProjector2D::projectSingleRay(int _iProjection, in _iDetector, _iDetector + 1, p); } + + //---------------------------------------------------------------------------------------- -// PROJECT BLOCK +// PROJECT BLOCK - vector projection geometry +// +// Kernel limitations: isotropic pixels (PixelLengthX == PixelLengthY) +// +// For each angle/detector pair: +// +// Let D=(Dx,Dy) denote the centre of the detector (point) in volume coordinates, and +// let R=(Rx,Ry) denote the direction of the ray (vector). +// +// For mainly vertical rays (|Rx|<=|Ry|), +// let E=(Ex,Ey) denote the centre of the most upper left pixel: +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// and let F=(Fx,Fy) denote a vector to the next pixel +// F = (PixelLengthX, 0) +// +// The intersection of the ray (D+aR) with the centre line of the upper row of pixels (E+bF) is +// { Dx + a*Rx = Ex + b*Fx +// { Dy + a*Ry = Ey + b*Fy +// Solving for (a,b) results in: +// a = (Ey + b*Fy - Dy)/Ry +// = (Ey - Dy)/Ry +// b = (Dx + a*Rx - Ex)/Fx +// = (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// +// Define c as the x-value of the intersection of the ray with the upper row in pixel coordinates. +// c = b +// +// The intersection of the ray (D+aR) with the centre line of the second row of pixels (E'+bF) with +// E'=(WindowMinX + PixelLengthX/2, WindowMaxY - 3*PixelLengthY/2) +// expressed in x-value pixel coordinates is +// c' = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx. +// And thus: +// deltac = c' - c = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx - (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx +// = [(Ey' - Dy)*Rx/Ry - (Ey - Dy)*Rx/Ry]/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = -PixelLengthY*(Rx/Ry)/Fx. +// +// Given c on a certain row, its pixel directly on its left (col), and the distance (offset) to it, can be found: +// col = floor(c) +// offset = c - col +// +// The index of this pixel is +// volumeIndex = row * colCount + col +// +// The projection kernel is defined by +// +// LengthPerRow +// /|\ +// / | \ +// __/ | \__ 0 +// p0 p1 p2 +// +// And thus +// W_(rayIndex,volIndex) = (1 - offset) * lengthPerRow +// W_(rayIndex,volIndex+1) = offset * lengthPerRow +// +// +// Mainly horizontal rays (|Rx|<=|Ry|) are handled in a similar fashion: +// +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// F = (0, -PixelLengthX) +// +// a = (Ex + b*Fx - Dx)/Rx = (Ex - Dx)/Rx +// b = (Dy + a*Ry - Ey)/Fy = (Dy + (Ex - Dx)*Ry/Rx - Ey)/Fy +// r = b +// deltar = PixelLengthX*(Ry/Rx)/Fy. +// row = floor(r+1/2) +// offset = r - row +// LengthPerCol = pixelLengthY * sqrt(Rx^2+Ry^2) / |Rx| +// +// W_(rayIndex,volIndex) = (1 - offset) * lengthPerCol +// W_(rayIndex,volIndex+colcount) = offset * lengthPerCol +// template <typename Policy> void CParallelBeamLinearKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p) { - // variables - float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, t; - float32 lengthPerRow, updatePerRow, inv_pixelLengthX; - float32 lengthPerCol, updatePerCol, inv_pixelLengthY; - bool switch_t; - int iAngle, iDetector, iVolumeIndex, iRayIndex; - int row, col, x1; - float32 P,x,x2; + // get vector geometry + const CParallelVecProjectionGeometry2D* pVecProjectionGeometry; + if (dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)) { + pVecProjectionGeometry = dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry(); + } else { + pVecProjectionGeometry = dynamic_cast<CParallelVecProjectionGeometry2D*>(m_pProjectionGeometry); + } + + // precomputations + const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX(); + const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY(); + const float32 inv_pixelLengthX = 1.0f / pixelLengthX; + const float32 inv_pixelLengthY = 1.0f / pixelLengthY; + const int colCount = m_pVolumeGeometry->getGridColCount(); + const int rowCount = m_pVolumeGeometry->getGridRowCount(); + const int detCount = pVecProjectionGeometry->getDetectorCount(); // loop angles - for (iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { - - // get theta - theta = m_pProjectionGeometry->getProjectionAngle(iAngle); - switch_t = false; - if (theta >= 7*PIdiv4) theta -= 2*PI; - if (theta >= 3*PIdiv4) { - theta -= PI; - switch_t = true; + #pragma omp parallel for + for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { + + // variables + float32 Dx, Dy, Ex, Ey, x, y, c, r, deltac, deltar, offset; + float32 RxOverRy, RyOverRx, lengthPerRow, lengthPerCol; + int iVolumeIndex, iRayIndex, row, col, iDetector; + + const SParProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; + + bool vertical = fabs(proj->fRayX) < fabs(proj->fRayY); + if (vertical) { + RxOverRy = proj->fRayX/proj->fRayY; + lengthPerRow = m_pVolumeGeometry->getPixelLengthX() * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / abs(proj->fRayY); + deltac = -pixelLengthY * RxOverRy * inv_pixelLengthX; + } else { + RyOverRx = proj->fRayY/proj->fRayX; + lengthPerCol = m_pVolumeGeometry->getPixelLengthY() * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / abs(proj->fRayX); + deltar = -pixelLengthX * RyOverRx * inv_pixelLengthY; } - // precalculate sin, cos, 1/cos - sin_theta = sin(theta); - cos_theta = cos(theta); - inv_cos_theta = 1.0f / cos_theta; - inv_sin_theta = 1.0f / sin_theta; - - // precalculate kernel limits - lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta; - updatePerRow = sin_theta * inv_cos_theta; - inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX(); - - // precalculate kernel limits - lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta; - updatePerCol = cos_theta * inv_sin_theta; - inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY(); + Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f; + Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f; // loop detectors for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { @@ -98,79 +178,54 @@ void CParallelBeamLinearKernelProjector2D::projectBlock_internal(int _iProjFrom, // POLICY: RAY PRIOR if (!p.rayPrior(iRayIndex)) continue; - // get t - t = m_pProjectionGeometry->indexToDetectorOffset(iDetector); - if (switch_t) { - t = -t; - } + Dx = proj->fDetSX + (iDetector+0.5f) * proj->fDetUX; + Dy = proj->fDetSY + (iDetector+0.5f) * proj->fDetUY; + + bool isin = false; // vertically - if (theta <= PIdiv4) { - - // calculate x for row 0 - P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta; - x = m_pVolumeGeometry->coordXToColF(P) - 0.5f; + if (vertical) { + + // calculate c for row 0 + c = (Dx + (Ey - Dy)*RxOverRy - Ex) * inv_pixelLengthX; + + // loop rows + for (row = 0; row < rowCount; ++row, c += deltac) { - // for each row - for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) { + col = int(c); + if (col <= 0 || col >= colCount-1) { if (!isin) continue; else break; } + offset = c - float32(col); + + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, (1.0f - offset) * lengthPerRow) - // get coords - x1 = int((x > 0.0f) ? x : x-1.0f); - x2 = x - x1; - x += updatePerRow; - - // add weights - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerRow); - p.pixelPosterior(iVolumeIndex); - } - } - if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, (x2) * lengthPerRow); - p.pixelPosterior(iVolumeIndex); - } - } + iVolumeIndex++; + policy_weight(p, iRayIndex, iVolumeIndex, offset * lengthPerRow) + + isin = true; } } // horizontally - else if (PIdiv4 <= theta && theta <= 3*PIdiv4) { - - // calculate point P - P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta; - x = m_pVolumeGeometry->coordYToRowF(P) - 0.5f; - - // for each row - for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) { - - // get coords - x1 = int((x > 0.0f) ? x : x-1.0f); - x2 = x - x1; - x += updatePerCol; - - // add weights - if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerCol); - p.pixelPosterior(iVolumeIndex); - } - } - if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridRowCount()) { - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col); - // POLICY: PIXEL PRIOR + ADD + POSTERIOR - if (p.pixelPrior(iVolumeIndex)) { - p.addWeight(iRayIndex, iVolumeIndex, x2 * lengthPerCol); - p.pixelPosterior(iVolumeIndex); - } - } + else { + + // calculate r for col 0 + r = -(Dy + (Ex - Dx)*RyOverRx - Ey) * inv_pixelLengthY; + + // loop columns + for (col = 0; col < colCount; ++col, r += deltar) { + + row = int(r); + if (row <= 0 || row >= rowCount-1) { if (!isin) continue; else break; } + offset = r - float32(row); + + iVolumeIndex = row * colCount + col; + policy_weight(p, iRayIndex, iVolumeIndex, (1.0f - offset) * lengthPerCol) + + iVolumeIndex += colCount; + policy_weight(p, iRayIndex, iVolumeIndex, offset * lengthPerCol) + + isin = true; } } @@ -179,6 +234,4 @@ void CParallelBeamLinearKernelProjector2D::projectBlock_internal(int _iProjFrom, } // end loop detector } // end loop angles - } - diff --git a/include/astra/ParallelBeamStripKernelProjector2D.h b/include/astra/ParallelBeamStripKernelProjector2D.h index 624bd3c..8fb665f 100644 --- a/include/astra/ParallelBeamStripKernelProjector2D.h +++ b/include/astra/ParallelBeamStripKernelProjector2D.h @@ -30,6 +30,7 @@ $Id$ #define _INC_ASTRA_PARALLELBEAMSTROKEKERNELPROJECTOR #include "ParallelProjectionGeometry2D.h" +#include "ParallelVecProjectionGeometry2D.h" #include "Float32Data2D.h" #include "Projector2D.h" diff --git a/include/astra/ParallelBeamStripKernelProjector2D.inl b/include/astra/ParallelBeamStripKernelProjector2D.inl index 7d73888..f0203f2 100644 --- a/include/astra/ParallelBeamStripKernelProjector2D.inl +++ b/include/astra/ParallelBeamStripKernelProjector2D.inl @@ -30,7 +30,7 @@ template <typename Policy> void CParallelBeamStripKernelProjector2D::project(Policy& p) { projectBlock_internal(0, m_pProjectionGeometry->getProjectionAngleCount(), - 0, m_pProjectionGeometry->getDetectorCount(), p); + 0, m_pProjectionGeometry->getDetectorCount(), p); } template <typename Policy> @@ -49,250 +49,242 @@ void CParallelBeamStripKernelProjector2D::projectSingleRay(int _iProjection, int //---------------------------------------------------------------------------------------- // PROJECT BLOCK +// +// Kernel limitations: isotropic pixels (PixelLengthX == PixelLengthY) +// +// For each angle/detector pair: +// +// Let DL=(DLx,DLy) denote the left of the detector (point) in volume coordinates, and +// Let DR=(DRx,DRy) denote the right of the detector (point) in volume coordinates, and +// let R=(Rx,Ry) denote the direction of the ray (vector). +// +// For mainly vertical rays (|Rx|<=|Ry|), +// let E=(Ex,Ey) denote the centre of the most upper left pixel: +// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2), +// and let F=(Fx,Fy) denote a vector to the next pixel +// F = (PixelLengthX, 0) +// +// The intersection of the left edge of the strip (DL+aR) with the centre line of the upper row of pixels (E+bF) is +// { DLx + a*Rx = Ex + b*Fx +// { DLy + a*Ry = Ey + b*Fy +// Solving for (a,b) results in: +// a = (Ey + b*Fy - DLy)/Ry +// = (Ey - DLy)/Ry +// b = (DLx + a*Rx - Ex)/Fx +// = (DLx + (Ey - DLy)*Rx/Ry - Ex)/Fx +// +// Define cL as the x-value of the intersection of the left edge of the strip with the upper row in pixel coordinates. +// cL = b +// +// cR, the x-value of the intersection of the right edge of the strip with the upper row in pixel coordinates can be found similarly. +// +// The intersection of the ray (DL+aR) with the left line of the second row of pixels (E'+bF) with +// E'=(WindowMinX + PixelLengthX/2, WindowMaxY - 3*PixelLengthY/2) +// expressed in x-value pixel coordinates is +// cL' = (DLx + (Ey' - DLy)*Rx/Ry - Ex)/Fx. +// And thus: +// deltac = cL' - cL = (DLx + (Ey' - DLy)*Rx/Ry - Ex)/Fx - (DLx + (Ey - DLy)*Rx/Ry - Ex)/Fx +// = [(Ey' - DLy)*Rx/Ry - (Ey - DLy)*Rx/Ry]/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = [Ey' - Ey]*(Rx/Ry)/Fx +// = -PixelLengthY*(Rx/Ry)/Fx. +// +// The projection weight for a certain pixel is defined by the area between two points of +// +// _____ LengthPerRow +// /| | |\ +// / | | | \ +// __/ | | | \__ 0 +// -T -S 0 S T +// with S = 1/2 - 1/2*|Rx/Ry|, T = 1/2 + 1/2*|Rx/Ry|, and LengthPerRow = pixelLengthX * sqrt(Rx^2+Ry^2) / |Ry| +// +// For a certain row, all columns that are 'hit' by this kernel lie in the interval +// (col_left, col_right) = (floor(cL-1/2+S), floor(cR+3/2-S)) +// +// The offsets for both is +// (offsetL, offsetR) = (cL - floor(col_left), cR - floor(col_left)) +// +// The projection weight is found by the difference between the integrated values of the kernel +// offset <= -T Kernel = 0 +// -T < offset <= -S Kernel = PixelArea/2*(T+offset)^2/(T-S) +// -S < offset <= S Kernel = PixelArea/2 + offset +// S < offset <= T Kernel = PixelArea - PixelArea/2*(T-offset)^2/(T-S) +// T <= offset: Kernel = PixelArea +// template <typename Policy> void CParallelBeamStripKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p) { - ASTRA_ASSERT(m_bIsInitialized); - - // Some variables - float32 theta, t; - int row, col; - int iAngle; - int iDetector; - float32 res; - float32 PL, PLimitL, PLimitR; - float32 xL, xR, XLimitL, XLimitR; - int x1L,x1R; - float32 x2L, x2R, updateX; - int iVolumeIndex, iRayIndex; - - float32 sin_theta, cos_theta, inv_sin_theta, inv_cos_theta; - float32 fabs_sin_theta, fabs_cos_theta, fabs_inv_sin_theta, fabs_inv_cos_theta; - float32 PW, PH, DW, inv_PW, inv_PH; - float32 S, T, U, V, inv_4T; + // get vector geometry + const CParallelVecProjectionGeometry2D* pVecProjectionGeometry; + if (dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)) { + pVecProjectionGeometry = dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry(); + } else { + pVecProjectionGeometry = dynamic_cast<CParallelVecProjectionGeometry2D*>(m_pProjectionGeometry); + } + + // precomputations + const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX(); + const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY(); + const float32 pixelArea = pixelLengthX * pixelLengthY; + const float32 inv_pixelLengthX = 1.0f / pixelLengthX; + const float32 inv_pixelLengthY = 1.0f / pixelLengthY; + const int colCount = m_pVolumeGeometry->getGridColCount(); + const int rowCount = m_pVolumeGeometry->getGridRowCount(); + const int detCount = pVecProjectionGeometry->getDetectorCount(); // loop angles - for (iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { - - // get values - theta = m_pProjectionGeometry->getProjectionAngle(iAngle); - bool switch_t = false; - if (theta >= 7*PIdiv4) theta -= 2*PI; - if (theta >= 3*PIdiv4) { - theta -= PI; - switch_t = true; - } - - // Precalculate sin, cos, 1/cos - sin_theta = sin(theta); - cos_theta = cos(theta); - inv_cos_theta = 1.0f / cos_theta; - inv_sin_theta = 1.0f / sin_theta; - - fabs_sin_theta = (sin_theta < 0.0f) ? -sin_theta : sin_theta; - fabs_cos_theta = (cos_theta < 0.0f) ? -cos_theta : cos_theta; - fabs_inv_cos_theta = (inv_cos_theta < 0.0f) ? -inv_cos_theta : inv_cos_theta; - fabs_inv_sin_theta = (inv_sin_theta < 0.0f) ? -inv_sin_theta : inv_sin_theta; - - // Other precalculations - PW = m_pVolumeGeometry->getPixelLengthX(); - PH = m_pVolumeGeometry->getPixelLengthY(); - DW = m_pProjectionGeometry->getDetectorWidth(); - inv_PW = 1.0f / PW; - inv_PH = 1.0f / PH; - - // [-45?,45?] and [135?,225?] - if (theta < PIdiv4) { - - // Precalculate kernel limits - S = -0.5f * fabs_sin_theta * fabs_inv_cos_theta; - T = -S; - U = 1.0f + S; - V = 1.0f - S; - inv_4T = 0.25f / T; - - updateX = sin_theta * inv_cos_theta; - - // loop detectors - for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { - - iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector; - - // POLICY: RAY PRIOR - if (!p.rayPrior(iRayIndex)) continue; - - // get t - t = m_pProjectionGeometry->indexToDetectorOffset(iDetector); - if (switch_t) t = -t; - - // calculate left strip extremes (volume coordinates) - PL = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0) - DW*0.5f) * inv_cos_theta; - PLimitL = PL - 0.5f * fabs_sin_theta * fabs_inv_cos_theta * PH; - PLimitR = PLimitL + DW * inv_cos_theta + PH * fabs_sin_theta * fabs_inv_cos_theta; - - // calculate strip extremes (pixel coordinates) - XLimitL = (PLimitL - m_pVolumeGeometry->getWindowMinX()) * inv_PW; - XLimitR = (PLimitR - m_pVolumeGeometry->getWindowMinX()) * inv_PW; - xL = (PL - m_pVolumeGeometry->getWindowMinX()) * inv_PW; - xR = xL + (DW * inv_cos_theta) * inv_PW; - - // for each row - for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) { - - // get strip extremes in column indices - x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f); - x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f); - - // get coords w.r.t leftmost column hit by strip - x2L = xL - x1L; - x2R = xR - x1L; - - // update strip extremes for the next row - XLimitL += updateX; - XLimitR += updateX; - xL += updateX; - xR += updateX; - - // for each affected col - for (col = x1L; col <= x1R; ++col) { - - if (col < 0 || col >= m_pVolumeGeometry->getGridColCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; } - - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col); - // POLICY: PIXEL PRIOR - if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // right - if (x2R >= V) res = 1.0f; - else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T; - else if (x2R >= T) res = x2R; - else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T; - else { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // left - if (x2L <= S) {} // - 0.0f - else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T; - else if (x2L <= U) res -= x2L; - else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T; - else { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // POLICY: ADD - p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res); - - // POLICY: PIXEL POSTERIOR - p.pixelPosterior(iVolumeIndex); - - x2L -= 1.0f; - x2R -= 1.0f; - - } // end col loop - - } // end row loop - - // POLICY: RAY POSTERIOR - p.rayPosterior(iRayIndex); - - } // end detector loop - - // [45?,135?] and [225?,315?] - // horizontaly + #pragma omp parallel for + for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) { + + // variables + float32 DLx, DLy, DRx, DRy, Ex, Ey, S, T, deltac, deltar, offsetL, offsetR, invTminS; + float32 res, RxOverRy, RyOverRx, cL, cR, rL, rR; + int iVolumeIndex, iRayIndex, iDetector; + int row, row_top, row_bottom, col, col_left, col_right; + + const SParProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle]; + + bool vertical = fabs(proj->fRayX) < fabs(proj->fRayY); + if (vertical) { + RxOverRy = proj->fRayX/proj->fRayY; + deltac = -m_pVolumeGeometry->getPixelLengthY() * RxOverRy * inv_pixelLengthX; + S = 0.5f - 0.5f*fabs(RxOverRy); + T = 0.5f + 0.5f*fabs(RxOverRy); + invTminS = 1.0f / (T-S); } else { + RyOverRx = proj->fRayY/proj->fRayX; + deltar = -m_pVolumeGeometry->getPixelLengthX() * RyOverRx * inv_pixelLengthY; + S = 0.5f - 0.5f*fabs(RyOverRx); + T = 0.5f + 0.5f*fabs(RyOverRx); + invTminS = 1.0f / (T-S); + } - // Precalculate kernel limits - S = -0.5f * fabs_cos_theta * fabs_inv_sin_theta; - T = -S; - U = 1.0f + S; - V = 1.0f - S; - inv_4T = 0.25f / T; - - updateX = cos_theta * inv_sin_theta; - - // loop detectors - for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { - - iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector; - - // POLICY: RAY PRIOR - if (!p.rayPrior(iRayIndex)) continue; + Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f; + Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f; - // get t - t = m_pProjectionGeometry->indexToDetectorOffset(iDetector); - if (switch_t) t = -t; + // loop detectors + for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) { - // calculate left strip extremes (volume coordinates) - PL = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0) + DW*0.5f) * inv_sin_theta; - PLimitL = PL + 0.5f * fabs_cos_theta * fabs_inv_sin_theta * PW; - PLimitR = PLimitL - DW * inv_sin_theta - PH * fabs_cos_theta * fabs_inv_sin_theta; - - // calculate strip extremes (pixel coordinates) - XLimitL = (m_pVolumeGeometry->getWindowMaxY() - PLimitL) * inv_PH; - XLimitR = (m_pVolumeGeometry->getWindowMaxY() - PLimitR) * inv_PH; - xL = (m_pVolumeGeometry->getWindowMaxY() - PL) * inv_PH; - xR = xL + (DW * fabs_inv_sin_theta) * inv_PH; - - // for each col - for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) { - - // get strip extremes in column indices - x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f); - x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f); - - // get coords w.r.t leftmost column hit by strip - x2L = xL - x1L; - x2R = xR - x1L; - - // update strip extremes for the next row - XLimitL += updateX; - XLimitR += updateX; - xL += updateX; - xR += updateX; + iRayIndex = iAngle * detCount + iDetector; - // for each affected col - for (row = x1L; row <= x1R; ++row) { - - if (row < 0 || row >= m_pVolumeGeometry->getGridRowCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; } - - iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col); - - // POLICY: PIXEL PRIOR - if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // right - if (x2R >= V) res = 1.0f; - else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T; - else if (x2R >= T) res = x2R; - else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T; - else { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // left - if (x2L <= S) {} // - 0.0f - else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T; - else if (x2L <= U) res -= x2L; - else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T; - else { x2L -= 1.0f; x2R -= 1.0f; continue; } - - // POLICY: ADD - p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res); - - // POLICY: PIXEL POSTERIOR - p.pixelPosterior(iVolumeIndex); - - x2L -= 1.0f; - x2R -= 1.0f; - - } // end row loop - - } // end col loop - - // POLICY: RAY POSTERIOR - p.rayPosterior(iRayIndex); - - } // end detector loop - - - } // end theta switch + // POLICY: RAY PRIOR + if (!p.rayPrior(iRayIndex)) continue; + + DLx = proj->fDetSX + iDetector * proj->fDetUX; + DLy = proj->fDetSY + iDetector * proj->fDetUY; + DRx = DLx + proj->fDetUX; + DRy = DLy + proj->fDetUY; + + // vertically + if (vertical) { + + // calculate cL and cR for row 0 + cL = (DLx + (Ey - DLy)*RxOverRy - Ex) * inv_pixelLengthX; + cR = (DRx + (Ey - DRy)*RxOverRy - Ex) * inv_pixelLengthX; + + if (cR < cL) { + float32 tmp = cL; + cL = cR; + cR = tmp; + } + + // loop rows + for (row = 0; row < rowCount; ++row, cL += deltac, cR += deltac) { + + col_left = int(cL-0.5f+S); + col_right = int(cR+1.5-S); + + if (col_left < 0) col_left = 0; + if (col_right > colCount-1) col_right = colCount-1; + + float32 tmp = float32(col_left); + offsetL = cL - tmp; + offsetR = cR - tmp; + + // loop columns + for (col = col_left; col <= col_right; ++col, offsetL -= 1.0f, offsetR -= 1.0f) { + + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + + // right ray edge + if (T <= offsetR) res = 1.0f; + else if (S < offsetR) res = 1.0f - 0.5f*(T-offsetR)*(T-offsetR)*invTminS; + else if (-S < offsetR) res = 0.5f + offsetR; + else if (-T < offsetR) res = 0.5f*(offsetR+T)*(offsetR+T)*invTminS; + else res = 0.0f; + + // left ray edge + if (T <= offsetL) res -= 1.0f; + else if (S < offsetL) res -= 1.0f - 0.5f*(T-offsetL)*(T-offsetL)*invTminS; + else if (-S < offsetL) res -= 0.5f + offsetL; + else if (-T < offsetL) res -= 0.5f*(offsetL+T)*(offsetL+T)*invTminS; + + p.addWeight(iRayIndex, iVolumeIndex, pixelArea*res); + p.pixelPosterior(iVolumeIndex); + } + } + } + } + + // horizontally + else { + + // calculate rL and rR for row 0 + rL = -(DLy + (Ex - DLx)*RyOverRx - Ey) * inv_pixelLengthY; + rR = -(DRy + (Ex - DRx)*RyOverRx - Ey) * inv_pixelLengthY; + + if (rR < rL) { + float32 tmp = rL; + rL = rR; + rR = tmp; + } + + // loop columns + for (col = 0; col < colCount; ++col, rL += deltar, rR += deltar) { + + row_top = int(rL-0.5f+S); + row_bottom = int(rR+1.5-S); + + if (row_top < 0) row_top = 0; + if (row_bottom > rowCount-1) row_bottom = rowCount-1; + + float32 tmp = float32(row_top); + offsetL = rL - tmp; + offsetR = rR - tmp; + + // loop rows + for (row = row_top; row <= row_bottom; ++row, offsetL -= 1.0f, offsetR -= 1.0f) { + + iVolumeIndex = row * colCount + col; + // POLICY: PIXEL PRIOR + ADD + POSTERIOR + if (p.pixelPrior(iVolumeIndex)) { + + // right ray edge + if (T <= offsetR) res = 1.0f; + else if (S < offsetR) res = 1.0f - 0.5f*(T-offsetR)*(T-offsetR)*invTminS; + else if (-S < offsetR) res = 0.5f + offsetR; + else if (-T < offsetR) res = 0.5f*(offsetR+T)*(offsetR+T)*invTminS; + else res = 0.0f; + + // left ray edge + if (T <= offsetL) res -= 1.0f; + else if (S < offsetL) res -= 1.0f - 0.5f*(T-offsetL)*(T-offsetL)*invTminS; + else if (-S < offsetL) res -= 0.5f + offsetL; + else if (-T < offsetL) res -= 0.5f*(offsetL+T)*(offsetL+T)*invTminS; + + p.addWeight(iRayIndex, iVolumeIndex, pixelArea*res); + p.pixelPosterior(iVolumeIndex); + } + } + } + } + + // POLICY: RAY POSTERIOR + p.rayPosterior(iRayIndex); + + } // end loop detector + } // end loop angles - } // end angle loop } - - diff --git a/include/astra/ParallelProjectionGeometry2D.h b/include/astra/ParallelProjectionGeometry2D.h index 2f7d36f..36b4b6f 100644 --- a/include/astra/ParallelProjectionGeometry2D.h +++ b/include/astra/ParallelProjectionGeometry2D.h @@ -30,6 +30,7 @@ $Id$ #define _INC_ASTRA_PARALLELPROJECTIONGEOMETRY2D #include "ProjectionGeometry2D.h" +#include "ParallelVecProjectionGeometry2D.h" namespace astra { @@ -134,7 +135,7 @@ public: * @param _sType geometry type to compare to. * @return true if _sType == "parallel". */ - virtual bool isOfType(const std::string& _sType); + virtual bool isOfType(const std::string& _sType); /** Get all settings in a Config object. * @@ -151,7 +152,12 @@ public: * * @return a unit vector describing the direction */ - virtual CVector3D getProjectionDirection(int _iProjectionIndex, int _iDetectorIndex = 0); + virtual CVector3D getProjectionDirection(int _iProjectionIndex, int _iDetectorIndex = 0); + + /** Create a vector geom + */ + CParallelVecProjectionGeometry2D* toVectorGeometry(); + }; } // namespace astra diff --git a/include/astra/ParallelVecProjectionGeometry2D.h b/include/astra/ParallelVecProjectionGeometry2D.h new file mode 100644 index 0000000..96f8a54 --- /dev/null +++ b/include/astra/ParallelVecProjectionGeometry2D.h @@ -0,0 +1,163 @@ +/* +----------------------------------------------------------------------- +Copyright: 2010-2015, iMinds-Vision Lab, University of Antwerp + 2014-2015, CWI, Amsterdam + +Contact: astra@uantwerpen.be +Website: http://sf.net/projects/astra-toolbox + +This file is part of the ASTRA Toolbox. + + +The ASTRA Toolbox is free software: you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation, either version 3 of the License, or +(at your option) any later version. + +The ASTRA Toolbox is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>. + +----------------------------------------------------------------------- +$Id$ +*/ + +#ifndef _INC_ASTRA_PARALLELVECPROJECTIONGEOMETRY2D +#define _INC_ASTRA_PARALLELVECPROJECTIONGEOMETRY2D + +#include "ProjectionGeometry2D.h" +#include "GeometryUtil2D.h" + +namespace astra +{ + +/** + * This class defines a 2D parallel beam projection geometry. + * + * \par XML Configuration + * \astra_xml_item{DetectorCount, int, Number of detectors for each projection.} + * + * \par MATLAB example + * \astra_code{ + * proj_geom = astra_struct('parallel_vec');\n + * proj_geom.DetectorCount = 512;\n + * proj_geom.Vectors = V;\n + * } + * + * \par Vectors + * Vectors is a matrix containing the actual geometry. Each row corresponds + * to a single projection, and consists of: + * ( rayX, rayY, dX, dY, uX, uY) + * ray: the ray direction + * d : the centre of the detector line + * u : the vector from detector pixel (0) to (1) + */ +class _AstraExport CParallelVecProjectionGeometry2D : public CProjectionGeometry2D +{ +protected: + + SParProjection *m_pProjectionAngles; + +public: + + /** Default constructor. Sets all variables to zero. Note that this constructor leaves the object in an unusable state and must + * be followed by a call to init(). + */ + CParallelVecProjectionGeometry2D(); + + /** Constructor. + * + * @param _iProjectionAngleCount Number of projection angles. + * @param _iDetectorCount Number of detectors, i.e., the number of detector measurements for each projection angle. + * @param _pfProjectionAngles Pointer to an array of projection angles. The angles will be copied from this array. + */ + CParallelVecProjectionGeometry2D(int _iProjectionAngleCount, + int _iDetectorCount, + const SParProjection* _pfProjectionAngles); + + /** Copy constructor. + */ + CParallelVecProjectionGeometry2D(const CParallelVecProjectionGeometry2D& _projGeom); + + /** Assignment operator. + */ + CParallelVecProjectionGeometry2D& operator=(const CParallelVecProjectionGeometry2D& _other); + + /** Destructor. + */ + virtual ~CParallelVecProjectionGeometry2D(); + + /** Initialize the geometry with a config object. + * + * @param _cfg Configuration Object + * @return initialization successful? + */ + virtual bool initialize(const Config& _cfg); + + /** Initialization. This function MUST be called after using the default constructor and MAY be called to + * reset a previously initialized object. + * + * @param _iProjectionAngleCount Number of projection angles. + * @param _iDetectorCount Number of detectors, i.e., the number of detector measurements for each projection angle. + * @param _pfProjectionAngles Pointer to an array of projection angles. The angles will be copied from this array. + */ + bool initialize(int _iProjectionAngleCount, + int _iDetectorCount, + const SParProjection* _pfProjectionAngles); + + virtual bool _check(); + + /** Create a hard copy. + */ + virtual CProjectionGeometry2D* clone(); + + /** Returns true if the type of geometry defined in this class is the one specified in _sType. + * + * @param _sType geometry type to compare to. + * @return true if _sType == "fanflat_vec". + */ + virtual bool isOfType(const std::string& _sType); + + /** Return true if this geometry instance is the same as the one specified. + * + * @return true if this geometry instance is the same as the one specified. + */ + virtual bool isEqual(CProjectionGeometry2D*) const; + + /** Get all settings in a Config object. + * + * @return Configuration Object. + */ + virtual Config* getConfiguration() const; + + + /** Get the value for t and theta, based upon the row and column index. + * + * @param _iRow row index + * @param _iColumn column index + * @param _fT output: value of t + * @param _fTheta output: value of theta, always lies within the [0,pi[ interval. + */ + virtual void getRayParams(int _iRow, int _iColumn, float32& _fT, float32& _fTheta) const; + + /** + * Returns a vector describing the direction of a ray belonging to a certain detector + * + * @param _iProjectionIndex index of projection + * @param _iProjectionIndex index of detector + * + * @return a unit vector describing the direction + */ + virtual CVector3D getProjectionDirection(int _iProjectionIndex, int _iDetectorIndex); + + const SParProjection* getProjectionVectors() const { return m_pProjectionAngles; } + +}; + +} // namespace astra + +#endif /* _INC_ASTRA_PARALLELVECPROJECTIONGEOMETRY2D */ diff --git a/include/astra/ProjectionGeometry2D.h b/include/astra/ProjectionGeometry2D.h index b8324e2..d26e6a7 100644 --- a/include/astra/ProjectionGeometry2D.h +++ b/include/astra/ProjectionGeometry2D.h @@ -65,10 +65,6 @@ protected: */ float32 m_fDetectorWidth; - /** An array of m_iProjectionAngleCount elements containing an extra detector offset for each projection. - */ - float32* m_pfExtraDetectorOffset; - /** Dynamically allocated array of projection angles. All angles are represented in radians and lie in * the [0,2pi[ interval. */ @@ -202,9 +198,6 @@ public: */ float32 getProjectionAngleDegrees(int _iProjectionIndex) const; - float32 getExtraDetectorOffset(int iAngle) const; - const float32* getExtraDetectorOffset() const { return m_pfExtraDetectorOffset; } - /** Get the index coordinate of a point on a detector array. * * @param _fOffset distance between the center of the detector array and a certain point @@ -273,12 +266,6 @@ public: //---------------------------------------------------------------------------------------- -inline float32 CProjectionGeometry2D::getExtraDetectorOffset(int _iAngle) const -{ - return m_pfExtraDetectorOffset ? m_pfExtraDetectorOffset[_iAngle] : 0.0f; -} - - // Get the initialization state. inline bool CProjectionGeometry2D::isInitialized() const { |