** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
-** $Id: projections.cpp,v 1.69 2001/03/22 02:30:00 kevin Exp $
+** $Id: projections.cpp,v 1.77 2002/05/28 18:43:16 kevin Exp $
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License (version 2) as
const int Projections::s_iInterpCount = sizeof(s_aszInterpName) / sizeof(char*);
+
/* NAME
* Projections Constructor for projections matrix storage
*
m_dFocalLength = scanner.focalLength();
m_dSourceDetectorLength = scanner.sourceDetectorLength();
m_dViewDiameter = scanner.viewDiameter();
- m_rotStart = 0;
+ m_rotStart = scanner.offsetView()*scanner.rotInc();
m_dFanBeamAngle = scanner.fanBeamAngle();
}
init (nView, m_nDet);
}
+// Helical 180 Linear Interpolation.
+// This member function takes a set of helical scan projections and
+// performs a linear interpolation between pairs of complementary rays
+// to produce a single projection data set approximating what would be
+// measured at a single axial plane.
+// Complementary rays are rays which traverse the same path through the
+// phantom in opposite directions.
+//
+// For parallel beam geometry, a ray with a given gantry angle beta and a
+// detector iDet will have a complementary ray at beta + pi and nDet-iDet
+//
+// For equiangular or equilinear beam geometry the complementary ray to
+// gantry angle beta and fan-beam angle gamma is at
+// beta-hat = beta +2*gamma + pi, and gamma-hat = -gamma.
+// Note that beta-hat - beta depends on gamma and is not constant.
+//
+// The algorithm used here is from Crawford and King, Med. Phys. 17(6)
+// 1990 p967; what they called method "C", CSH-HH. It uses interpolation only
+// between pairs of complementary rays on either side of an image plane.
+// Input data must sample gantry angles from zero to
+// (2*pi + 2* fan-beam-angle). The data set produced contains gantry
+// angles from 0 to Pi+fan-beam-angle. This is a "halfscan" data set,
+// which still contains redundant data, and can be used with a half scan
+// reconstruction to produce an image.
+// In this particular implementation a lower triangle from (beta,gamma) =
+// (0,-fanAngle/2)->(2*fanAngle,-fanAngle/2)->(0,fanAngle/2) contains
+// zeros, but is actually redundant with data contained in the region
+// (pi+fanAngle,-fanAngle/2)->(pi+fanAngle, fanAngle/2) ->(pi-fanAngle,
+// fanAngle/2).
+//
+int
+Projections::Helical180LI(int interpolation_view)
+{
+ if (m_geometry == Scanner::GEOMETRY_INVALID)
+ {
+ std::cerr << "Invalid geometry " << m_geometry << std::endl;
+ return (2);
+ }
+ else if (m_geometry == Scanner::GEOMETRY_PARALLEL)
+ {
+ std::cerr << "Helical 180LI not yet implemented for PARALLEL geometry"
+ << std::endl;
+ return (2);
+ }
+ else if (m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ {
+ std::cerr << "Helical 180LI not yet implemented for EQUILINEAR geometry"
+ << std::endl;
+ return (2);
+ }
+ else if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR)
+ {
+ return Helical180LI_Equiangular(interpolation_view);
+ }
+ else
+ {
+ std::cerr << "Invalid geometry in projection data file" << m_geometry
+ << std::endl;
+ return (2);
+ }
+}
+int
+Projections::Helical180LI_Equiangular(int interpView)
+{
+ double dbeta = m_rotInc;
+ double dgamma = m_detInc;
+ double fanAngle = m_dFanBeamAngle;
+ int offsetView=0;
+
+ // is there enough data in the data set? Should have 2(Pi+fanAngle)
+ // coverage minimum
+ if ( m_nView < static_cast<int>((2*( PI + fanAngle ) ) / dbeta) -1 ){
+ std::cerr << "Data set does not include 360 +2*FanBeamAngle views"
+ << std::endl;
+ return (1);
+ }
+
+ if (interpView < 0) // use default position at PI+fanAngle
+ {
+ interpView = static_cast<int> ((PI+fanAngle)/dbeta);
+ }
+ else
+ {
+ // check if there is PI+fanAngle data on either side of the
+ // of the specified image plane
+ if ( interpView*dbeta < PI+fanAngle ||
+ interpView*dbeta + PI + fanAngle > m_nView*dbeta)
+ {
+ std::cerr << "There isn't PI+fanAngle of data on either side of the requested interpolation view" << std::endl;
+ return(1);
+ }
+ offsetView = interpView - static_cast<int>((PI+fanAngle)/dbeta);
+
+ }
+ int last_interp_view = static_cast<int> ((PI+fanAngle)/dbeta);
+
+
+// make a new array for data...
+ class DetectorArray ** newdetarray = new DetectorArray * [last_interp_view+1];
+ for ( int i=0 ; i <= last_interp_view ; i++ ){
+ newdetarray[i] = new DetectorArray (m_nDet);
+ newdetarray[i]->setViewAngle((i+offsetView)*dbeta);
+ DetectorValue* newdetval = (newdetarray[i])->detValues();
+ // and initialize the data to zero
+ for (int j=0; j < m_nDet; j++)
+ newdetval[j] = 0.;
+ }
+
+ int last_acq_view = 2*last_interp_view;
+ for ( int iView = 0 ; iView <= last_acq_view; iView++) {
+ double beta = iView * dbeta;
+
+ for ( int iDet = 0; iDet < m_nDet; iDet++) {
+ double gamma = (iDet -(m_nDet-1)/2)* dgamma ;
+ int newiView, newiDet;
+ if (beta < PI+fanAngle) { //if (PI +fanAngle - beta > dbeta )
+ //newbeta = beta;
+ //newgamma = gamma;
+ newiDet = iDet;
+ newiView = iView;
+ }
+ else // (beta > PI+fanAngle)
+ {
+ //newbeta = beta +2*gamma - 180;
+ //newgamma = -gamma;
+ newiDet = -iDet + (m_nDet -1);
+ // newiView = nearest<int>((beta + 2*gamma - PI)/dbeta);
+ //newiView = static_cast<int>(( (iView*dbeta) + 2*(iDet-(m_nDet-1)/2)*dgamma - PI)/dbeta);
+ newiView = nearest<int>(( (iView*dbeta) + 2*(iDet-(m_nDet-1)/2)*dgamma - PI)/dbeta);
+ }
+
+#ifdef DEBUG
+//std::cout << beta << " "<< gamma << " " << newbeta << " " << newgamma <<" " << iView-offsetView << " " << iDet << " " << newiView << " " << newiDet << std::endl;
+//std::cout << iView-offsetView << " " << iDet << " " << newiView << " " << newiDet << std::endl;
+#endif
+
+ if ( ( beta > fanAngle - 2*gamma)
+ && ( beta < 2*PI + fanAngle -2*gamma) )
+ { // not in region 1 or 8
+ DetectorValue* detval = (m_projData[iView+offsetView])->detValues();
+ DetectorValue* newdetval = (newdetarray[newiView])->detValues();
+ if ( beta > fanAngle - 2*gamma
+ && beta <= 2*fanAngle ) { // in region 2
+ newdetval[newiDet] +=
+ (beta +2*gamma - fanAngle)/(PI+2*gamma)
+ * detval[iDet];
+ } else if ( beta > 2*fanAngle
+ && beta <= PI - 2*gamma) { // in region 3
+ newdetval[newiDet] +=
+ (beta +2*gamma - fanAngle)/(PI+2*gamma)
+ * detval[iDet];
+ }
+ else if ( beta > PI -2*gamma
+ && beta <= PI + fanAngle ) { // in region 4
+ newdetval[newiDet] +=
+ (beta +2*gamma - fanAngle)/(PI+2*gamma)
+ * detval[iDet];
+ }
+ else if ( beta > PI + fanAngle
+ && beta <= PI +2*fanAngle -2*gamma) { // in region 5
+ newdetval[newiDet] +=
+ (2*PI - beta - 2*gamma + fanAngle)/(PI-2*gamma)
+ *detval[iDet];
+ }
+ else if ( beta > PI +2*fanAngle -2*gamma
+ && beta <= 2*PI) { // in region 6
+ newdetval[newiDet] +=
+ (2*PI - beta - 2*gamma + fanAngle)/(PI-2*gamma)
+ *detval[iDet];
+ }
+ else if ( beta > 2*PI
+ && beta <= 2*PI + fanAngle -2*gamma){ // in region 7
+ newdetval[newiDet] +=
+ (2*PI - beta -2*gamma + fanAngle)/(PI-2*gamma)
+ *detval[iDet];
+ }
+ else
+ {
+ ; // outside region of interest
+ }
+ }
+ }
+ }
+ deleteProjData();
+ m_projData = newdetarray;
+ m_nView = last_interp_view+1;
+
+ return (0);
+}
+// HalfScanFeather:
+// A HalfScan Projection Data Set for equiangular geometry,
+// covering gantry angles from 0 to pi+fanBeamAngle
+// and fan angle gamma from -fanBeamAngle/2 to fanBeamAngle/2
+// contains redundant information. If one copy of this data is left as
+// zero, (as in the Helical180LI routine above) overweighting is avoided,
+// but the discontinuity in the data introduces ringing in the image.
+// This routine makes a copy of the data and applies a weighting to avoid
+// over-representation, as given in Appendix C of Crawford and King, Med
+// Phys 17 1990, p967.
+int
+Projections::HalfScanFeather(void)
+{
+ double dbeta = m_rotInc;
+ double dgamma = m_detInc;
+ double fanAngle = m_dFanBeamAngle;
+
+// is there enough data?
+ if ( m_nView != static_cast<int>(( PI+fanAngle ) / dbeta) +1 ){
+ std::cerr << "Data set does seem have enough data to be a halfscan data set" << std::endl;
+ return (1);
+ }
+ if (m_geometry == Scanner::GEOMETRY_INVALID) {
+ std::cerr << "Invalid geometry " << m_geometry << std::endl;
+ return (2);
+ }
+
+ if (m_geometry == Scanner::GEOMETRY_PARALLEL) {
+ std::cerr << "HalfScanFeather not yet implemented for PARALLEL geometry"<< std::endl;
+ return (2);
+ }
+
+ for ( int iView2 = 0 ; iView2 < m_nView; iView2++) {
+ double beta2 = iView2 * dbeta;
+ for ( int iDet2 = 0; iDet2 < m_nDet; iDet2++) {
+ double gamma2 = (iDet2 -(m_nDet-1)/2)* dgamma ;
+ if ( ( beta2 >= PI - 2*gamma2) ) { // in redundant data region
+ int iView1, iDet1;
+ iDet1 = (m_nDet -1) - iDet2;
+ //iView1 = nearest<int>((beta2 + 2*gamma2 - PI)/dbeta);
+ iView1 = nearest<int>(( (iView2*dbeta)
+ + 2*(iDet2-(m_nDet-1)/2)*dgamma - PI)/dbeta);
+
+
+ DetectorValue* detval2 = (m_projData[iView2])->detValues();
+ DetectorValue* detval1 = (m_projData[iView1])->detValues();
+
+ detval1[iDet1] = detval2[iDet2] ;
+
+ double x, w1,w2,beta1, gamma1;
+ beta1= iView1*dbeta;
+ gamma1 = -gamma2;
+ if ( beta1 <= (fanAngle - 2*gamma1) )
+ x = beta1 / ( fanAngle - 2*gamma1);
+ else if ( (fanAngle - 2*gamma1 <= beta1 ) && beta1 <= PI - 2*gamma1)
+ x = 1;
+ else if ( (PI - 2*gamma1 <= beta1 ) && ( beta1 <=PI + fanAngle) )
+ x = (PI +fanAngle - beta1)/(fanAngle + 2*gamma1);
+ else {
+ std::cerr << "Shouldn't be here!"<< std::endl;
+ return(4);
+ }
+ w1 = (3*x - 2*x*x)*x;
+ w2 = 1-w1;
+ detval1[iDet1] *= w1;
+ detval2[iDet2] *= w2;
+
+ }
+ }
+ }
+ // heuristic scaling, why this factor?
+ double scalefactor = m_nView * m_rotInc / PI;
+ for ( int iView = 0 ; iView < m_nView; iView++) {
+ DetectorValue* detval = (m_projData[iView])->detValues();
+ for ( int iDet = 0; iDet < m_nDet; iDet++) {
+ detval[iDet] *= scalefactor;
+ }
+ }
+
+ return (0);
+}
+
// NAME
// newProjData
#ifdef MSVC
frnetorderstream fileRead (m_filename.c_str(), std::ios::in | std::ios::binary);
#else
- frnetorderstream fileRead (m_filename.c_str(), std::ios::in | std::ios::binary | std::ios::nocreate);
+ frnetorderstream fileRead (m_filename.c_str(), std::ios::in | std::ios::binary); // | std::ios::nocreate);
#endif
if (fileRead.fail())
if (! v || nx == 0 || ny == 0)
return false;
- if (m_geometry != Scanner::GEOMETRY_PARALLEL) {
- sys_error (ERR_WARNING, "convertFFTPolar supports Parallel only");
- return false;
- }
+ Projections* pProj = this;
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ pProj = interpolateToParallel();
int iInterpDet = nx;
+// int iInterpDet = pProj->m_nDet;
int iNumInterpDetWithZeros = ProcessSignal::addZeropadFactor (iInterpDet, iZeropad);
double dZeropadRatio = static_cast<double>(iNumInterpDetWithZeros) / static_cast<double>(iInterpDet);
fftw_plan plan = fftw_create_plan (iNumInterpDetWithZeros, FFTW_FORWARD, FFTW_IN_PLACE | FFTW_ESTIMATE | FFTW_USE_WISDOM);
fftw_complex* pcIn = new fftw_complex [iNumInterpDetWithZeros];
- std::complex<double>** ppcDetValue = new std::complex<double>* [m_nView];
- double dInterpScale = (m_nDet-1) / static_cast<double>(iInterpDet-1) / SQRT2;
+ std::complex<double>** ppcDetValue = new std::complex<double>* [pProj->m_nView];
+ double dInterpScale = (pProj->m_nDet-1) / static_cast<double>(iInterpDet-1) / SQRT2;
+ double dFFTScale = 1. / static_cast<double>(iInterpDet * iInterpDet);
+ int iMidPoint = iInterpDet / 2;
+ double dMidPoint = static_cast<double>(iInterpDet) / 2.;
+ int iZerosAdded = iNumInterpDetWithZeros - iInterpDet;
+
+ // For each view, interpolate to nx length, shift to center at origin, and FFt transform
for (unsigned int iView = 0; iView < m_nView; iView++) {
- DetectorValue* detval = getDetectorArray(iView).detValues();
- LinearInterpolator<DetectorValue> projInterp (detval, m_nDet);
+ DetectorValue* detval = pProj->getDetectorArray(iView).detValues();
+ LinearInterpolator<DetectorValue> projInterp (detval, pProj->m_nDet);
for (unsigned int iDet = 0; iDet < iInterpDet; iDet++) {
-// double dInterpPos = iInterpDet * dInterpScale;
- double dInterpPos = (m_nDet / 2.) + (iDet - iInterpDet/2.) * dInterpScale;
- pcIn[iDet].re = projInterp.interpolate (dInterpPos);
+ double dInterpPos = (m_nDet / 2.) + (iDet - dMidPoint) * dInterpScale;
+ pcIn[iDet].re = projInterp.interpolate (dInterpPos) * dInterpScale;
pcIn[iDet].im = 0;
}
- for (unsigned int iDet2 = iInterpDet; iDet2 < iNumInterpDetWithZeros; iDet2++)
- pcIn[iDet2].re = pcIn[iDet2].im = 0;
+
+ Fourier::shuffleFourierToNaturalOrder (pcIn, iInterpDet);
+ if (iZerosAdded > 0) {
+ for (unsigned int iDet1 = iMidPoint; iDet1 < iInterpDet; iDet1++)
+ pcIn[iDet1+iZerosAdded] = pcIn[iDet1];
+ for (unsigned int iDet2 = iMidPoint; iDet2 < iMidPoint + iZerosAdded; iDet2++)
+ pcIn[iDet2].re = pcIn[iDet2].im = 0;
+ }
fftw_one (plan, pcIn, NULL);
ppcDetValue[iView] = new std::complex<double> [iNumInterpDetWithZeros];
- for (unsigned int iD = 0; iD < iNumInterpDetWithZeros; iD++)
- ppcDetValue[iView][iD] = std::complex<double> (pcIn[iD].re / iInterpDet / (iInterpDet/2), pcIn[iD].im / iInterpDet / (iInterpDet/2));
+ for (unsigned int iD = 0; iD < iNumInterpDetWithZeros; iD++) {
+ ppcDetValue[iView][iD] = std::complex<double> (pcIn[iD].re * dFFTScale, pcIn[iD].im * dFFTScale);
+ }
Fourier::shuffleFourierToNaturalOrder (ppcDetValue[iView], iNumInterpDetWithZeros);
}
Array2d<double> adDet (nx, ny);
double** ppdView = adView.getArray();
double** ppdDet = adDet.getArray();
- calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, iNumInterpDetWithZeros, dZeropadRatio,
- m_detInc * dInterpScale);
+ pProj->calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, iNumInterpDetWithZeros, dZeropadRatio,
+ pProj->m_detInc * dInterpScale);
- interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iNumInterpDetWithZeros,
- iInterpolationID);
+ pProj->interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, pProj->m_nView, pProj->m_nDet,
+ iNumInterpDetWithZeros, iInterpolationID);
+
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ delete pProj;
for (int i = 0; i < m_nView; i++)
delete [] ppcDetValue[i];
Projections::calcArrayPolarCoordinates (unsigned int nx, unsigned int ny, double** ppdView, double** ppdDet,
int iNumDetWithZeros, double dZeropadRatio, double dDetInc)
{
-// double dLength = viewDiameter();
- double dLength = phmLen();
+ double dLength = viewDiameter();
+// double dLength = phmLen();
double xMin = -dLength / 2;
double xMax = xMin + dLength;
double yMin = -dLength / 2;
if (phi < 0)
phi += TWOPI;
-
if (phi >= PI) {
phi -= PI;
r = -r;
double** ppdDet, unsigned int nView, unsigned int nDet, unsigned int nDetWithZeros, int iInterpolationID)
{
typedef std::complex<double> complexValue;
- BilinearInterpolator<complexValue> bilinear (ppcDetValue, nView, nDetWithZeros);
+
+ BilinearInterpolator<complexValue>* pBilinear;
+ if (iInterpolationID == POLAR_INTERP_BILINEAR)
+ pBilinear = new BilinearInterpolator<complexValue> (ppcDetValue, nView, nDetWithZeros);
+
+ BicubicPolyInterpolator<complexValue>* pBicubic;
+ if (iInterpolationID == POLAR_INTERP_BICUBIC)
+ pBicubic = new BicubicPolyInterpolator<complexValue> (ppcDetValue, nView, nDetWithZeros);
for (unsigned int ix = 0; ix < ny; ix++) {
for (unsigned int iy = 0; iy < ny; iy++) {
v[ix][iy] = 0;
} else if (iInterpolationID == POLAR_INTERP_BILINEAR) {
-#if 1
- std::complex<double> vInterp = bilinear.interpolate (ppdView[ix][iy], ppdDet[ix][iy]);
+ std::complex<double> vInterp = pBilinear->interpolate (ppdView[ix][iy], ppdDet[ix][iy]);
v[ix][iy] = vInterp.real();
if (vImag)
vImag[ix][iy] = vInterp.imag();
-#else
- int iFloorView = ::floor (ppdView[ix][iy]);
- double dFracView = ppdView[ix][iy] - iFloorView;
- int iFloorDet = ::floor (ppdDet[ix][iy]);
- double dFracDet = ppdDet[ix][iy] - iFloorDet;
-
- if (iFloorDet >= 0 && iFloorView >= 0) {
- std::complex<double> v1 = ppcDetValue[iFloorView][iFloorDet];
- std::complex<double> v2, v3, v4;
- if (iFloorView < nView - 1)
- v2 = ppcDetValue[iFloorView + 1][iFloorDet];
- else
- v2 = ppcDetValue[0][iFloorDet];
- if (iFloorDet < nDetWithZeros - 1)
- v4 = ppcDetValue[iFloorView][iFloorDet+1];
- else
- v4 = v1;
- if (iFloorView < nView - 1 && iFloorDet < nDetWithZeros - 1)
- v3 = ppcDetValue [iFloorView+1][iFloorDet+1];
- else if (iFloorView < nView - 1)
- v3 = v2;
- else
- v3 = ppcDetValue[0][iFloorDet+1];
-
- std::complex<double> vInterp = (1 - dFracView) * (1 - dFracDet) * v1 +
- dFracView * (1 - dFracDet) * v2 + dFracView * dFracDet * v3 +
- dFracDet * (1 - dFracView) * v4;
- v[ix][iy] = vInterp.real();
- if (vImag)
- vImag[ix][iy] = vInterp.imag();
- } else {
- // sys_error (ERR_SEVERE, "Can't find projection data for ix=%d,iy=%d with radView=%f and radDet=%f", ix, iy, ppdView[ix][iy], ppdDet[ix][iy]);
- v[ix][iy] = 0;
- if (vImag)
- vImag[ix][iy] = 0;
- }
-#endif
} else if (iInterpolationID == POLAR_INTERP_BICUBIC) {
- v[ix][iy] =0;
- if (vImag)
- vImag[ix][iy] = 0;
+ std::complex<double> vInterp = pBicubic->interpolate (ppdView[ix][iy], ppdDet[ix][iy]);
+ v[ix][iy] = vInterp.real();
+ if (vImag)
+ vImag[ix][iy] = vInterp.imag();
}
}
}
projects / ctsim.git / blobdiff