Merge branch 'master'

1 files changed, 172 insertions, 0 deletions

diff --git a/src/GeometryUtil3D.cpp b/src/GeometryUtil3D.cpp
index 52dd5a9..c6bfd8b 100644
--- a/src/GeometryUtil3D.cpp
+++ b/src/GeometryUtil3D.cpp
@@ -28,8 +28,96 @@ $Id$
 
 #include "astra/GeometryUtil3D.h"
 
+#include <cmath>
+
 namespace astra {
 
+
+SConeProjection* genConeProjections(unsigned int iProjAngles,
+                                    unsigned int iProjU,
+                                    unsigned int iProjV,
+                                    double fOriginSourceDistance,
+                                    double fOriginDetectorDistance,
+                                    double fDetUSize,
+                                    double fDetVSize,
+                                    const float *pfAngles)
+{
+	SConeProjection base;
+	base.fSrcX = 0.0f;
+	base.fSrcY = -fOriginSourceDistance;
+	base.fSrcZ = 0.0f;
+
+	base.fDetSX = iProjU * fDetUSize * -0.5f;
+	base.fDetSY = fOriginDetectorDistance;
+	base.fDetSZ = iProjV * fDetVSize * -0.5f;
+
+	base.fDetUX = fDetUSize;
+	base.fDetUY = 0.0f;
+	base.fDetUZ = 0.0f;
+
+	base.fDetVX = 0.0f;
+	base.fDetVY = 0.0f;
+	base.fDetVZ = fDetVSize;
+
+	SConeProjection* p = new SConeProjection[iProjAngles];
+
+#define ROTATE0(name,i,alpha) do { p[i].f##name##X = base.f##name##X * cos(alpha) - base.f##name##Y * sin(alpha); p[i].f##name##Y = base.f##name##X * sin(alpha) + base.f##name##Y * cos(alpha); p[i].f##name##Z = base.f##name##Z; } while(0)
+
+	for (unsigned int i = 0; i < iProjAngles; ++i) {
+		ROTATE0(Src, i, pfAngles[i]);
+		ROTATE0(DetS, i, pfAngles[i]);
+		ROTATE0(DetU, i, pfAngles[i]);
+		ROTATE0(DetV, i, pfAngles[i]);
+	}
+
+#undef ROTATE0
+
+	return p;
+}
+
+SPar3DProjection* genPar3DProjections(unsigned int iProjAngles,
+                                      unsigned int iProjU,
+                                      unsigned int iProjV,
+                                      double fDetUSize,
+                                      double fDetVSize,
+                                      const float *pfAngles)
+{
+	SPar3DProjection base;
+	base.fRayX = 0.0f;
+	base.fRayY = 1.0f;
+	base.fRayZ = 0.0f;
+
+	base.fDetSX = iProjU * fDetUSize * -0.5f;
+	base.fDetSY = 0.0f;
+	base.fDetSZ = iProjV * fDetVSize * -0.5f;
+
+	base.fDetUX = fDetUSize;
+	base.fDetUY = 0.0f;
+	base.fDetUZ = 0.0f;
+
+	base.fDetVX = 0.0f;
+	base.fDetVY = 0.0f;
+	base.fDetVZ = fDetVSize;
+
+	SPar3DProjection* p = new SPar3DProjection[iProjAngles];
+
+#define ROTATE0(name,i,alpha) do { p[i].f##name##X = base.f##name##X * cos(alpha) - base.f##name##Y * sin(alpha); p[i].f##name##Y = base.f##name##X * sin(alpha) + base.f##name##Y * cos(alpha); p[i].f##name##Z = base.f##name##Z; } while(0)
+
+	for (unsigned int i = 0; i < iProjAngles; ++i) {
+		ROTATE0(Ray, i, pfAngles[i]);
+		ROTATE0(DetS, i, pfAngles[i]);
+		ROTATE0(DetU, i, pfAngles[i]);
+		ROTATE0(DetV, i, pfAngles[i]);
+	}
+
+#undef ROTATE0
+
+	return p;
+}
+
+
+
+
 // (See declaration in header for (mathematical) description of these functions)
 
 
@@ -72,4 +160,88 @@ void computeBP_UV_Coeffs(const SConeProjection& proj, double &fUX, double &fUY,
 }
 
 
+// TODO: Handle cases of rays parallel to coordinate planes
+
+void backprojectPointX(const SPar3DProjection& proj, double fU, double fV,
+                       double fX, double &fY, double &fZ)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fX - px) / proj.fRayX;
+
+	fY = py + a * proj.fRayY;
+	fZ = pz + a * proj.fRayZ;
+}
+
+void backprojectPointY(const SPar3DProjection& proj, double fU, double fV,
+                       double fY, double &fX, double &fZ)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fY - py) / proj.fRayY;
+
+	fX = px + a * proj.fRayX;
+	fZ = pz + a * proj.fRayZ;
+
+}
+
+void backprojectPointZ(const SPar3DProjection& proj, double fU, double fV,
+                       double fZ, double &fX, double &fY)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fZ - pz) / proj.fRayZ;
+
+	fX = px + a * proj.fRayX;
+	fY = py + a * proj.fRayY;
+}
+
+
+
+void backprojectPointX(const SConeProjection& proj, double fU, double fV,
+                       double fX, double &fY, double &fZ)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fX - proj.fSrcX) / (px - proj.fSrcX);
+
+	fY = proj.fSrcY + a * (py - proj.fSrcY);
+	fZ = proj.fSrcZ + a * (pz - proj.fSrcZ);
+}
+
+void backprojectPointY(const SConeProjection& proj, double fU, double fV,
+                       double fY, double &fX, double &fZ)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fY - proj.fSrcY) / (py - proj.fSrcY);
+
+	fX = proj.fSrcX + a * (px - proj.fSrcX);
+	fZ = proj.fSrcZ + a * (pz - proj.fSrcZ);
+}
+
+void backprojectPointZ(const SConeProjection& proj, double fU, double fV,
+                       double fZ, double &fX, double &fY)
+{
+	double px = proj.fDetSX + fU * proj.fDetUX + fV * proj.fDetVX;
+	double py = proj.fDetSY + fU * proj.fDetUY + fV * proj.fDetVY;
+	double pz = proj.fDetSZ + fU * proj.fDetUZ + fV * proj.fDetVZ;
+
+	double a = (fZ - proj.fSrcZ) / (pz - proj.fSrcZ);
+
+	fX = proj.fSrcX + a * (px - proj.fSrcX);
+	fY = proj.fSrcY + a * (py - proj.fSrcY);
+}
+
+
 }