** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
-** $Id: projections.cpp,v 1.60 2001/03/11 17:55:29 kevin Exp $
+** $Id: projections.cpp,v 1.68 2001/03/21 21:45:31 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
double** ppdView = adView.getArray();
double** ppdDet = adDet.getArray();
- if (! pProj->calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet))
- return false;
-
std::complex<double>** ppcDetValue = new std::complex<double>* [m_nView];
unsigned int iView;
for (iView = 0; iView < m_nView; iView++) {
ppcDetValue[iView] = new std::complex<double> [m_nDet];
+ DetectorValue* detval = pProj->getDetectorArray (iView).detValues();
for (unsigned int iDet = 0; iDet < m_nDet; iDet++)
- ppcDetValue[iView][iDet] = std::complex<double>(getDetectorArray (iView).detValues()[iDet], 0);
+ ppcDetValue[iView][iDet] = std::complex<double>(detval[iDet], 0);
}
- pProj->interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iInterpolationID);
+ pProj->calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, m_nDet, 1., 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++)
delete [] ppcDetValue[iView];
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();
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();
- 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);
+ int iInterpDet = nx;
+ int iNumInterpDetWithZeros = ProcessSignal::addZeropadFactor (iInterpDet, iZeropad);
- for (iView = 0; iView < m_nView; iView++) {
- unsigned int iDet;
- for (iDet = 0; iDet < m_nDet; iDet++) {
- pcIn[iDet].re = getDetectorArray(iView).detValues()[iDet];
+ 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;
+
+ for (unsigned int iView = 0; iView < m_nView; iView++) {
+ DetectorValue* detval = getDetectorArray(iView).detValues();
+ LinearInterpolator<DetectorValue> projInterp (detval, 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);
pcIn[iDet].im = 0;
}
+ for (unsigned int iDet2 = iInterpDet; iDet2 < iNumInterpDetWithZeros; 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 / iInterpDet / (iInterpDet/2), pcIn[iD].im / iInterpDet / (iInterpDet/2));
+
+ 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();
+ calcArrayPolarCoordinates (nx, ny, ppdView, ppdDet, iNumInterpDetWithZeros, dZeropadRatio,
+ m_detInc * dInterpScale);
- if (! bError)
- interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iInterpolationID);
+ interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, m_nView, m_nDet, iNumInterpDetWithZeros,
+ iInterpolationID);
- for (iView = 0; iView < m_nView; iView++)
- delete [] ppcDetValue[iView];
+ 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> bilinear (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]);
+#if 1
+ std::complex<double> vInterp = bilinear.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;
- unsigned int iFloorDet = static_cast<int>(ppdDet[ix][iy]);
+ int iFloorDet = ::floor (ppdDet[ix][iy]);
double dFracDet = ppdDet[ix][iy] - iFloorDet;
if (iFloorDet >= 0 && iFloorView >= 0) {
v2 = ppcDetValue[iFloorView + 1][iFloorDet];
else
v2 = ppcDetValue[0][iFloorDet];
- if (iFloorDet < nDet - 1)
+ if (iFloorDet < nDetWithZeros - 1)
v4 = ppcDetValue[iFloorView][iFloorDet+1];
else
v4 = v1;
- if (iFloorView < nView - 1 && iFloorDet < nDet - 1)
+ 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;
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]);
+ // 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)
{
init (iNViews, iNDets);
m_geometry = Scanner::GEOMETRY_EQUIANGULAR;
- m_dFanBeamAngle = iNDets * convertDegreesToRadians (3.06976 / 60);
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 ()
+Projections::interpolateToParallel () const
{
if (m_geometry == Scanner::GEOMETRY_PARALLEL)
- return this;
+ return const_cast<Projections*>(this);
int nDet = m_nDet;
int nView = m_nView;
#endif
pProjNew->m_detStart = -m_dViewDiameter / 2;
pProjNew->m_detInc = m_dViewDiameter / nDet;
- if (nDet % 2 == 0) // even
+ if (isEven (nDet)) // even
pProjNew->m_detInc = m_dViewDiameter / (nDet - 1);
- ParallelRaysums parallel (this);
+ 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);
+ 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();
-
- detValues[iD] = parallel.interpolate (pdThetaValuesForT, pdRaysumsForT, pProjNew->nView(), dViewAngle);
+ LinearInterpolator<double> interp (pdThetaValuesForT, pdRaysumsForT, pProjNew->nView());
+ detValues[iD] = interp.interpolate (dViewAngle, &iLastFloor);
}
}
delete pdThetaValuesForT;
pdDetValueCopy[i] = detValues[i];
double dDetPos = pProjNew->m_detStart;
- for (int iD = 0; iD < pProjNew->nDet(); iD++, dDetPos += pProjNew->m_detInc) {
- detValues[iD] = parallel.interpolate (pdOriginalDetPositions, pdDetValueCopy, pProjNew->nDet(), dDetPos);
- }
+ int iLastFloor = -1;
+ LinearInterpolator<double> interp (pdOriginalDetPositions, pdDetValueCopy, pProjNew->nDet());
+ for (int iD = 0; iD < pProjNew->nDet(); iD++, dDetPos += pProjNew->m_detInc)
+ detValues[iD] = interp.interpolate (dDetPos, &iLastFloor);
}
delete pdDetValueCopy;
delete pdOriginalDetPositions;
//
///////////////////////////////////////////////////////////////////////////////
-ParallelRaysums::ParallelRaysums (Projections* pProjections)
-: m_iNumCoordinates(0), m_iNumView(pProjections->nView()), m_iNumDet(pProjections->nDet())
+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 iGeometry = pProjections->geometry();
double dDetInc = pProjections->detInc();
double dFocalLength = pProjections->focalLength();
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_vecpCoordinates[i] = new ParallelRaysumCoordinate;
+ m_vecpCoordinates[i] = m_pCoordinates + i;
int iCoordinate = 0;
for (int iV = 0; iV < m_iNumView; iV++) {
ParallelRaysumCoordinate* pC = m_vecpCoordinates[iCoordinate++];
if (iGeometry == Scanner::GEOMETRY_PARALLEL) {
- pC->m_dTheta = normalizeAngle (dViewAngle);
+ pC->m_dTheta = dViewAngle;
pC->m_dT = dDetPos;
} else if (iGeometry == Scanner::GEOMETRY_EQUILINEAR) {
double dFanAngle = atan (dDetPos / pProjections->sourceDetectorLength());
- pC->m_dTheta = normalizeAngle (dViewAngle + dFanAngle);
+ pC->m_dTheta = dViewAngle + dFanAngle;
pC->m_dT = dFocalLength * sin(dFanAngle);
} else if (iGeometry == Scanner::GEOMETRY_EQUIANGULAR) {
// fan angle is same as dDetPos
- pC->m_dTheta = normalizeAngle (dViewAngle + dDetPos);
+ pC->m_dTheta = dViewAngle + dDetPos;
pC->m_dT = dFocalLength * sin (dDetPos);
}
-#ifdef CONVERT_PARALLEL_PI
- if (pC->m_dTheta >= PI) { // convert T/Theta to 0-PI interval
- pC->m_dTheta -= PI;
- pC->m_dT = -pC->m_dT;
+ 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;
+ }
}
-#endif
pC->m_dRaysum = detValues[iD];
dDetPos += dDetInc;
}
ParallelRaysums::~ParallelRaysums()
{
- for (int i = 0; i < m_iNumCoordinates; i++)
- delete m_vecpCoordinates[i];
+ delete m_pCoordinates;
}
ParallelRaysums::CoordinateContainer&
iPos += m_iNumView;
}
}
-
-// locate by bisection, O(log2(n))
-double
-ParallelRaysums::interpolate (double* pdX, double* pdY, int n, double dX)
-{
- int iLower = -1;
- int iUpper = n;
-
- while (iUpper - iLower > 1) {
- int iMiddle = (iUpper + iLower) >> 1;
- if (dX >= pdX[iMiddle])
- iLower = iMiddle;
- else
- iUpper = iMiddle;
- }
- if (dX <= pdX[0])
- return pdY[0];
- else if (dX >= pdX[n-1])
- return pdY[1];
-
- if (iLower < 0 || iLower >= n) {
- sys_error (ERR_SEVERE, "Coordinate out of range [locateThetaBase]");
- return 0;
- }
-
- return pdY[iLower] + (pdY[iUpper] - pdY[iLower]) * ((dX - pdX[iLower]) / (pdX[iUpper] - pdX[iLower]));
-}
-
projects / ctsim.git / blobdiff