** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
-** $Id: projections.cpp,v 1.55 2001/03/10 23:14:16 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_rotInc = scanner.rotInc();
m_detInc = scanner.detInc();
+ m_detStart = scanner.detStart();
m_geometry = scanner.geometry();
m_dFocalLength = scanner.focalLength();
m_dSourceDetectorLength = scanner.sourceDetectorLength();
m_dViewDiameter = scanner.viewDiameter();
- m_rotStart = 0;
- m_detStart = -(scanner.detLen() / 2);
+ 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, "convertPolar supports Parallel only");
- return false;
- }
+ Projections* pProj = this;
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ pProj = interpolateToParallel();
Array2d<double> adView (nx, ny);
Array2d<double> adDet (nx, ny);
double** ppdView = adView.getArray();
double** ppdDet = adDet.getArray();
- if (! calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet))
- return false;
-
- std::complex<double>** ppcDetValue = new std::complex<double>* [m_nView];
+ std::complex<double>** ppcDetValue = new std::complex<double>* [pProj->m_nView];
unsigned int iView;
- for (iView = 0; iView < m_nView; iView++) {
- ppcDetValue[iView] = new std::complex<double> [m_nDet];
- for (unsigned int iDet = 0; iDet < m_nDet; iDet++)
- ppcDetValue[iView][iDet] = std::complex<double>(getDetectorArray (iView).detValues()[iDet], 0);
+ for (iView = 0; iView < pProj->m_nView; iView++) {
+ ppcDetValue[iView] = new std::complex<double> [pProj->m_nDet];
+ DetectorValue* detval = pProj->getDetectorArray (iView).detValues();
+ for (unsigned int iDet = 0; iDet < pProj->m_nDet; iDet++)
+ ppcDetValue[iView][iDet] = std::complex<double>(detval[iDet], 0);
}
- interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iInterpolationID);
+ pProj->calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, pProj->m_nDet, 1., pProj->m_detInc);
+
+ pProj->interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, pProj->m_nView, pProj->m_nDet,
+ pProj->m_nDet, iInterpolationID);
- for (iView = 0; iView < m_nView; iView++)
+ for (iView = 0; iView < pProj->m_nView; iView++)
delete [] ppcDetValue[iView];
delete [] ppcDetValue;
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ delete pProj;
+
return true;
}
bool
Projections::convertFFTPolar (ImageFile& rIF, int iInterpolationID, int iZeropad)
{
+#ifndef HAVE_FFTW
+ rIF.arrayDataClear();
+ return false;
+#else
unsigned int nx = rIF.nx();
unsigned int ny = rIF.ny();
ImageFileArray v = rIF.getArray();
if (! v || nx == 0 || ny == 0)
return false;
- if (m_geometry != Scanner::GEOMETRY_PARALLEL) {
- sys_error (ERR_WARNING, "convertFFTPolar supports Parallel only");
- return false;
- }
-
-#ifndef HAVE_FFT
- return false;
-#else
- Array2d<double> adView (nx, ny);
- Array2d<double> adDet (nx, ny);
- double** ppdView = adView.getArray();
- double** ppdDet = adDet.getArray();
+ Projections* pProj = this;
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ pProj = interpolateToParallel();
- std::complex<double>** ppcDetValue = new std::complex<double>* [m_nView];
- unsigned int iView;
- double* pdDet = new double [m_nDet];
- fftw_complex* pcIn = new fftw_complex [m_nDet];
- fftw_plan plan = fftw_create_plan (m_nDet, FFTW_FORWARD, FFTW_IN_PLACE);
-
- for (iView = 0; iView < m_nView; iView++) {
- unsigned int iDet;
- for (iDet = 0; iDet < m_nDet; iDet++) {
- pcIn[iDet].re = getDetectorArray(iView).detValues()[iDet];
+ 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>* [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 = pProj->getDetectorArray(iView).detValues();
+ LinearInterpolator<DetectorValue> projInterp (detval, pProj->m_nDet);
+ for (unsigned int iDet = 0; iDet < iInterpDet; iDet++) {
+ double dInterpPos = (m_nDet / 2.) + (iDet - dMidPoint) * dInterpScale;
+ pcIn[iDet].re = projInterp.interpolate (dInterpPos) * dInterpScale;
pcIn[iDet].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> [m_nDet];
- for (iDet = 0; iDet < m_nDet; iDet++)
- ppcDetValue[iView][iDet] = std::complex<double> (pcIn[iDet].re, pcIn[iDet].im);
- Fourier::shuffleFourierToNaturalOrder (ppcDetValue[iView], m_nDet);
+
+ ppcDetValue[iView] = new std::complex<double> [iNumInterpDetWithZeros];
+ 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);
}
+ delete [] pcIn;
fftw_destroy_plan (plan);
- delete [] pcIn;
- bool bError = calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet);
+ Array2d<double> adView (nx, ny);
+ Array2d<double> adDet (nx, ny);
+ double** ppdView = adView.getArray();
+ double** ppdDet = adDet.getArray();
+ pProj->calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, iNumInterpDetWithZeros, dZeropadRatio,
+ pProj->m_detInc * dInterpScale);
- if (! bError)
- interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iInterpolationID);
+ pProj->interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, pProj->m_nView, pProj->m_nDet,
+ iNumInterpDetWithZeros, iInterpolationID);
- for (iView = 0; iView < m_nView; iView++)
- delete [] ppcDetValue[iView];
+ if (m_geometry == Scanner::GEOMETRY_EQUIANGULAR || m_geometry == Scanner::GEOMETRY_EQUILINEAR)
+ delete pProj;
+
+ for (int i = 0; i < m_nView; i++)
+ delete [] ppcDetValue[i];
delete [] ppcDetValue;
- return bError;
+ return true;
#endif
}
-bool
-Projections::calcArrayPolarCoordinates (unsigned int nx, unsigned int ny, double** ppdView, double** ppdDet)
+void
+Projections::calcArrayPolarCoordinates (unsigned int nx, unsigned int ny, double** ppdView, double** ppdDet,
+ int iNumDetWithZeros, double dZeropadRatio, double dDetInc)
{
- double xMin = -phmLen() / 2;
- double xMax = xMin + phmLen();
- double yMin = -phmLen() / 2;
- double yMax = yMin + phmLen();
-
+ double dLength = viewDiameter();
+// double dLength = phmLen();
+ double xMin = -dLength / 2;
+ double xMax = xMin + dLength;
+ double yMin = -dLength / 2;
+ double yMax = yMin + dLength;
+ double xCent = (xMin + xMax) / 2;
+ double yCent = (yMin + yMax) / 2;
+
+ xMin = (xMin - xCent) * dZeropadRatio + xCent;
+ xMax = (xMax - xCent) * dZeropadRatio + xCent;
+ yMin = (yMin - yCent) * dZeropadRatio + yCent;
+ yMax = (yMax - yCent) * dZeropadRatio + yCent;
+
double xInc = (xMax - xMin) / nx; // size of cells
double yInc = (yMax - yMin) / ny;
-
- int iDetCenter = (m_nDet - 1) / 2; // index refering to L=0 projection
+
+ // +1 is correct for frequency data, ndet-1 is correct for projections
+ int iDetCenter = (iNumDetWithZeros - 1) / 2; // index refering to L=0 projection
+ if (isEven (iNumDetWithZeros))
+ iDetCenter = (iNumDetWithZeros + 1) / 2;
// Calculates polar coordinates (view#, det#) for each point on phantom grid
double x = xMin + xInc / 2; // Rectang coords of center of pixel
double r = ::sqrt (x * x + y * y);
double phi = atan2 (y, x);
+ if (phi < 0)
+ phi += TWOPI;
if (phi >= PI) {
phi -= PI;
- } else if (phi < 0) {
- phi += PI;
- } else
r = -r;
+ }
ppdView[ix][iy] = (phi - m_rotStart) / m_rotInc;
- ppdDet[ix][iy] = (r / m_detInc) + iDetCenter;
+ ppdDet[ix][iy] = (r / dDetInc) + iDetCenter;
}
}
-
- return true;
}
void
Projections::interpolatePolar (ImageFileArray& v, ImageFileArray& vImag,
- unsigned int nx, unsigned int ny, std::complex<double>** ppcDetValue,
- double** ppdView, double** ppdDet, unsigned int nView, unsigned int nDet, int iInterpolationID)
+ unsigned int nx, unsigned int ny, std::complex<double>** ppcDetValue, double** ppdView,
+ double** ppdDet, unsigned int nView, unsigned int nDet, unsigned int nDetWithZeros, int iInterpolationID)
{
+ typedef std::complex<double> complexValue;
+
+ 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++) {
+
if (iInterpolationID == POLAR_INTERP_NEAREST) {
unsigned int iView = nearest<int> (ppdView[ix][iy]);
unsigned int iDet = nearest<int> (ppdDet[ix][iy]);
if (iView == nView) {
iView = 0;
- // iDet = m_nDet - iDet;
+ iDet = m_nDet - iDet;
}
- if (iDet >= 0 && iDet < nDet && iView >= 0 && iView < nView) {
+ if (iDet >= 0 && iDet < nDetWithZeros && iView >= 0 && iView < nView) {
v[ix][iy] = ppcDetValue[iView][iDet].real();
if (vImag)
vImag[ix][iy] = ppcDetValue[iView][iDet].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]);
+ } else
v[ix][iy] = 0;
- }
+
} else if (iInterpolationID == POLAR_INTERP_BILINEAR) {
- unsigned int iFloorView = static_cast<int>(ppdView[ix][iy]);
- double dFracView = ppdView[ix][iy] - iFloorView;
- unsigned int iFloorDet = static_cast<int>(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 < nDet - 1)
- v4 = ppcDetValue[iFloorView][iFloorDet+1];
- else
- v4 = v1;
- if (iFloorView < nView - 1 && iFloorDet < nDet - 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;
- }
+ 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 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();
}
}
}
}
-
bool
Projections::initFromSomatomAR_STAR (int iNViews, int iNDets, unsigned char* pData, unsigned long lDataLength)
{
init (iNViews, iNDets);
m_geometry = Scanner::GEOMETRY_EQUIANGULAR;
- m_dFanBeamAngle = iNDets * convertDegreesToRadians (3.06976 / 60);
- m_dFocalLength = 51;
- m_dSourceDetectorLength = 89;
+ m_dFocalLength = 510;
+ m_dSourceDetectorLength = 890;
m_detInc = convertDegreesToRadians (3.06976 / 60);
- m_detStart = -m_dFanBeamAngle / 2;
+ m_dFanBeamAngle = iNDets * m_detInc;
+ m_detStart = -(m_dFanBeamAngle / 2);
m_rotInc = TWOPI / static_cast<double>(iNViews);
- m_rotStart = HALFPI;
+ m_rotStart = 0;
m_dViewDiameter = sin (m_dFanBeamAngle / 2) * m_dFocalLength * 2;
- if (iNDets != 1024)
- return false;
- bool bValid = (iNViews == 750 && lDataLength == 1560000L) || (iNViews == 950 && lDataLength == 1976000L) || (iNViews == 1500 && lDataLength == 3120000);
- if (! bValid)
+ if (! ((iNViews == 750 && lDataLength == 1560000L) || (iNViews == 950 && lDataLength == 1976000L)
+ || (iNViews == 1500 && lDataLength == 3120000)))
return false;
+ double dCenter = (iNDets - 1.) / 2.; // change from (Nm+1)/2 because of 0 vs. 1 indexing
+ double* pdCosScale = new double [iNDets];
+ for (int i = 0; i < iNDets; i++)
+ pdCosScale[i] = 1. / cos ((i - dCenter) * m_detInc);
+
long lDataPos = 0;
for (int iv = 0; iv < iNViews; iv++) {
unsigned char* pArgBase = pData + lDataPos;
- unsigned char* p = pArgBase+0;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ unsigned char* p = pArgBase+0; SwapBytes4IfLittleEndian (p);
long lProjNumber = *reinterpret_cast<long*>(p);
- p = pArgBase+20;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ p = pArgBase+20; SwapBytes4IfLittleEndian (p);
long lEscale = *reinterpret_cast<long*>(p);
- p = pArgBase+28;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ p = pArgBase+28; SwapBytes4IfLittleEndian (p);
long lTime = *reinterpret_cast<long*>(p);
- p = pArgBase + 4;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ p = pArgBase + 4; SwapBytes4IfLittleEndian (p);
double dAlpha = *reinterpret_cast<float*>(p) + HALFPI;
- p = pArgBase+12;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ p = pArgBase+12; SwapBytes4IfLittleEndian (p);
double dAlign = *reinterpret_cast<float*>(p);
- p = pArgBase + 16;
-#ifndef WORDS_BIGENDIAN
- SwapBytes4 (p);
-#endif
+ p = pArgBase + 16; SwapBytes4IfLittleEndian (p);
double dMaxValue = *reinterpret_cast<float*>(p);
- lDataPos += 32;
- double dEScale = pow (2.0, -lEscale);
- double dBetaInc = convertDegreesToRadians (3.06976 / 60);
- int iCenter = (iNDets + 1) / 2;
-
- DetectorArray& detArray = getDetectorArray( iv );
+ DetectorArray& detArray = getDetectorArray (iv);
detArray.setViewAngle (dAlpha);
DetectorValue* detval = detArray.detValues();
- double dTempScale = 2294.4871 * dEScale;
+ double dViewScale = 1. / (2294.4871 * ::pow (2.0, -lEscale));
+ lDataPos += 32;
for (int id = 0; id < iNDets; id++) {
- int iV = pData[lDataPos+1] + 256 * pData[lDataPos];
+ int iV = pData[lDataPos+1] + (pData[lDataPos] << 8);
if (iV > 32767) // two's complement signed conversion
iV = iV - 65536;
- double dCosScale = cos ((id + 1 - iCenter) * dBetaInc);
- detval[id] = iV / (dTempScale * dCosScale);
+ detval[id] = iV * dViewScale * pdCosScale[id];
lDataPos += 2;
}
+#if 1
+ for (int k = iNDets - 2; k >= 0; k--)
+ detval[k+1] = detval[k];
+ detval[0] = 0;
+#endif
}
+ delete pdCosScale;
return true;
}
+Projections*
+Projections::interpolateToParallel () const
+{
+ if (m_geometry == Scanner::GEOMETRY_PARALLEL)
+ return const_cast<Projections*>(this);
+
+ int nDet = m_nDet;
+ int nView = m_nView;
+ Projections* pProjNew = new Projections (nView, nDet);
+ pProjNew->m_geometry = Scanner::GEOMETRY_PARALLEL;
+ pProjNew->m_dFocalLength = m_dFocalLength;
+ pProjNew->m_dSourceDetectorLength = m_dSourceDetectorLength;
+ pProjNew->m_dViewDiameter = m_dViewDiameter;
+ pProjNew->m_dFanBeamAngle = m_dFanBeamAngle;
+ pProjNew->m_calcTime = 0;
+ pProjNew->m_remark = m_remark;
+ pProjNew->m_remark += "; Interpolate to Parallel";
+ pProjNew->m_label.setLabelType (Array2dFileLabel::L_HISTORY);
+ pProjNew->m_label.setLabelString (pProjNew->m_remark);
+ pProjNew->m_label.setCalcTime (pProjNew->m_calcTime);
+ pProjNew->m_label.setDateTime (pProjNew->m_year, pProjNew->m_month, pProjNew->m_day, pProjNew->m_hour, pProjNew->m_minute, pProjNew->m_second);
+
+ pProjNew->m_rotStart = 0;
+#ifdef CONVERT_PARALLEL_PI
+ pProjNew->m_rotInc = PI / nView;;
+#else
+ pProjNew->m_rotInc = TWOPI / nView;
+#endif
+ pProjNew->m_detStart = -m_dViewDiameter / 2;
+ pProjNew->m_detInc = m_dViewDiameter / nDet;
+ if (isEven (nDet)) // even
+ pProjNew->m_detInc = m_dViewDiameter / (nDet - 1);
+
+ ParallelRaysums parallel (this, ParallelRaysums::THETA_RANGE_NORMALIZE_TO_TWOPI);
+
+ double* pdThetaValuesForT = new double [pProjNew->nView()];
+ double* pdRaysumsForT = new double [pProjNew->nView()];
+
+ // interpolate to evenly spaced theta (views)
+ double dDetPos = pProjNew->m_detStart;
+ for (int iD = 0; iD < pProjNew->nDet(); iD++, dDetPos += pProjNew->m_detInc) {
+ parallel.getThetaAndRaysumsForT (iD, pdThetaValuesForT, pdRaysumsForT);
+
+ double dViewAngle = m_rotStart;
+ int iLastFloor = -1;
+ for (int iV = 0; iV < pProjNew->nView(); iV++, dViewAngle += pProjNew->m_rotInc) {
+ DetectorValue* detValues = pProjNew->getDetectorArray (iV).detValues();
+ LinearInterpolator<double> interp (pdThetaValuesForT, pdRaysumsForT, pProjNew->nView(), false);
+ detValues[iD] = interp.interpolate (dViewAngle, &iLastFloor);
+ }
+ }
+ delete pdThetaValuesForT;
+ delete pdRaysumsForT;
+
+ // interpolate to evenly space t (detectors)
+ double* pdOriginalDetPositions = new double [pProjNew->nDet()];
+ parallel.getDetPositions (pdOriginalDetPositions);
+
+ double* pdDetValueCopy = new double [pProjNew->nDet()];
+ double dViewAngle = m_rotStart;
+ for (int iV = 0; iV < pProjNew->nView(); iV++, dViewAngle += pProjNew->m_rotInc) {
+ DetectorArray& detArray = pProjNew->getDetectorArray (iV);
+ DetectorValue* detValues = detArray.detValues();
+ detArray.setViewAngle (dViewAngle);
+
+ for (int i = 0; i < pProjNew->nDet(); i++)
+ pdDetValueCopy[i] = detValues[i];
+
+ double dDetPos = pProjNew->m_detStart;
+ int iLastFloor = -1;
+ LinearInterpolator<double> interp (pdOriginalDetPositions, pdDetValueCopy, pProjNew->nDet(), false);
+ for (int iD = 0; iD < pProjNew->nDet(); iD++, dDetPos += pProjNew->m_detInc)
+ detValues[iD] = interp.interpolate (dDetPos, &iLastFloor);
+ }
+ delete pdDetValueCopy;
+ delete pdOriginalDetPositions;
+
+ return pProjNew;
+}
+
-ParallelRaysums::ParallelRaysums (Projections* pProjections)
-: m_ppCoordinates(NULL), m_iNumCoordinates(0)
+///////////////////////////////////////////////////////////////////////////////
+//
+// Class ParallelRaysums
+//
+// Used for converting divergent beam raysums into Parallel raysums
+//
+///////////////////////////////////////////////////////////////////////////////
+
+ParallelRaysums::ParallelRaysums (const Projections* pProjections, int iThetaRange)
+: m_iNumCoordinates(0), m_iNumView(pProjections->nView()), m_iNumDet(pProjections->nDet()),
+ m_iThetaRange (iThetaRange), m_pCoordinates(NULL)
{
- int nDet = pProjections->nDet();
- int nView = pProjections->nView();
int iGeometry = pProjections->geometry();
double dDetInc = pProjections->detInc();
double dDetStart = pProjections->detStart();
double dFocalLength = pProjections->focalLength();
- m_iNumCoordinates = nDet * nView;
- m_ppCoordinates = new ParallelRaysumCoordinate* [m_iNumCoordinates];
+ m_iNumCoordinates = m_iNumView * m_iNumDet;
+ m_pCoordinates = new ParallelRaysumCoordinate [m_iNumCoordinates];
+ m_vecpCoordinates.reserve (m_iNumCoordinates);
for (int i = 0; i < m_iNumCoordinates; i++)
- m_ppCoordinates[i] = new ParallelRaysumCoordinate;
-
- ParallelRaysumCoordinate** ppCurrentCoordinate = m_ppCoordinates;
+ m_vecpCoordinates[i] = m_pCoordinates + i;
- for (int iV = 0; iV < nView; iV++) {
+ int iCoordinate = 0;
+ for (int iV = 0; iV < m_iNumView; iV++) {
double dViewAngle = pProjections->getDetectorArray(iV).viewAngle();
- for (int iD = 0; iD < nDet; iD++) {
- ParallelRaysumCoordinate* pC = *ppCurrentCoordinate;
+ const DetectorValue* detValues = pProjections->getDetectorArray(iV).detValues();
+
+ double dDetPos = dDetStart;
+ for (int iD = 0; iD < m_iNumDet; iD++) {
+ ParallelRaysumCoordinate* pC = m_vecpCoordinates[iCoordinate++];
+
if (iGeometry == Scanner::GEOMETRY_PARALLEL) {
pC->m_dTheta = dViewAngle;
- pC->m_dT = dDetStart + (iD * dDetInc);
+ pC->m_dT = dDetPos;
} else if (iGeometry == Scanner::GEOMETRY_EQUILINEAR) {
- double dDetPos = dDetStart + (iD * dDetInc);
double dFanAngle = atan (dDetPos / pProjections->sourceDetectorLength());
pC->m_dTheta = dViewAngle + dFanAngle;
pC->m_dT = dFocalLength * sin(dFanAngle);
+
} else if (iGeometry == Scanner::GEOMETRY_EQUIANGULAR) {
- double dFanAngle = dDetStart + (iD * dDetInc);
- pC->m_dTheta = dViewAngle + dFanAngle;
- pC->m_dT = dFocalLength * sin(dFanAngle);
+ // fan angle is same as dDetPos
+ pC->m_dTheta = dViewAngle + dDetPos;
+ pC->m_dT = dFocalLength * sin (dDetPos);
+ }
+ if (m_iThetaRange != THETA_RANGE_UNCONSTRAINED) {
+ pC->m_dTheta = normalizeAngle (pC->m_dTheta);
+ if (m_iThetaRange == THETA_RANGE_FOLD_TO_PI && pC->m_dTheta >= PI) {
+ pC->m_dTheta -= PI;
+ pC->m_dT = -pC->m_dT;
+ }
}
- ++ppCurrentCoordinate;
+ pC->m_dRaysum = detValues[iD];
+ dDetPos += dDetInc;
}
}
}
ParallelRaysums::~ParallelRaysums()
{
- for (int i = 0; i < m_iNumCoordinates; i++)
- delete m_ppCoordinates[i];
+ delete m_pCoordinates;
+}
+
+ParallelRaysums::CoordinateContainer&
+ParallelRaysums::getSortedByTheta()
+{
+ if (m_vecpSortedByTheta.size() == 0) {
+ m_vecpSortedByTheta.resize (m_iNumCoordinates);
+ for (int i = 0; i < m_iNumCoordinates; i++)
+ m_vecpSortedByTheta[i] = m_vecpCoordinates[i];
+ std::sort (m_vecpSortedByTheta.begin(), m_vecpSortedByTheta.end(), ParallelRaysumCoordinate::compareByTheta);
+ }
- delete m_ppCoordinates;
+ return m_vecpSortedByTheta;
}
+ParallelRaysums::CoordinateContainer&
+ParallelRaysums::getSortedByT()
+{
+ if (m_vecpSortedByT.size() == 0) {
+ m_vecpSortedByT.resize (m_iNumCoordinates);
+ for (int i = 0; i < m_iNumCoordinates; i++)
+ m_vecpSortedByT[i] = m_vecpCoordinates[i];
+ std::sort (m_vecpSortedByT.begin(), m_vecpSortedByT.end(), ParallelRaysumCoordinate::compareByT);
+ }
+
+ return m_vecpSortedByT;
+}
+
+
void
ParallelRaysums::getLimits (double* dMinT, double* dMaxT, double* dMinTheta, double* dMaxTheta) const
{
if (m_iNumCoordinates <= 0)
return;
- *dMinT = *dMaxT = m_ppCoordinates[0]->m_dT;
- *dMinTheta = *dMaxTheta = m_ppCoordinates[0]->m_dTheta;
+ *dMinT = *dMaxT = m_vecpCoordinates[0]->m_dT;
+ *dMinTheta = *dMaxTheta = m_vecpCoordinates[0]->m_dTheta;
for (int i = 0; i < m_iNumCoordinates; i++) {
- double dT = m_ppCoordinates[i]->m_dT;
- double dTheta = m_ppCoordinates[i]->m_dTheta;
+ double dT = m_vecpCoordinates[i]->m_dT;
+ double dTheta = m_vecpCoordinates[i]->m_dTheta;
+
if (dT < *dMinT)
*dMinT = dT;
else if (dT > *dMaxT)
*dMaxTheta = dTheta;
}
}
+
+void
+ParallelRaysums::getThetaAndRaysumsForT (int iTheta, double* pTheta, double* pRaysum)
+{
+ const CoordinateContainer& coordsT = getSortedByT();
+
+ int iBase = iTheta * m_iNumView;
+ for (int i = 0; i < m_iNumView; i++) {
+ int iPos = iBase + i;
+ pTheta[i] = coordsT[iPos]->m_dTheta;
+ pRaysum[i] = coordsT[iPos]->m_dRaysum;
+ }
+}
+
+void
+ParallelRaysums::getDetPositions (double* pdDetPos)
+{
+ const CoordinateContainer& coordsT = getSortedByT();
+
+ int iPos = 0;
+ for (int i = 0; i < m_iNumDet; i++) {
+ pdDetPos[i] = coordsT[iPos]->m_dT;
+ iPos += m_iNumView;
+ }
+}
projects / ctsim.git / blobdiff