** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
-** $Id: projections.cpp,v 1.63 2001/03/13 08:24:41 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>(pProj->getDetectorArray (iView).detValues()[iDet], 0);
+ ppcDetValue[iView][iDet] = std::complex<double>(detval[iDet], 0);
}
- pProj->interpolatePolar (v, vImag, nx, ny, ppcDetValue, ppdView, ppdDet, pProj->m_nView, pProj->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)
m_dFocalLength = 510;
m_dSourceDetectorLength = 890;
m_detInc = convertDegreesToRadians (3.06976 / 60);
- m_dFanBeamAngle = (iNDets + 1) * m_detInc;
+ 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 (! ((iNViews == 750 && lDataLength == 1560000L) || (iNViews == 950 && lDataLength == 1976000L)
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;
#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::THETA_RANGE_NORMALIZE_TO_TWOPI);
// 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, &iLastFloor);
+ LinearInterpolator<double> interp (pdThetaValuesForT, pdRaysumsForT, pProjNew->nView());
+ detValues[iD] = interp.interpolate (dViewAngle, &iLastFloor);
}
}
delete pdThetaValuesForT;
double dDetPos = pProjNew->m_detStart;
int iLastFloor = -1;
- for (int iD = 0; iD < pProjNew->nDet(); iD++, dDetPos += pProjNew->m_detInc) {
- detValues[iD] = parallel.interpolate (pdOriginalDetPositions, pdDetValueCopy, pProjNew->nDet(), dDetPos, &iLastFloor);
- }
+ 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;
iPos += m_iNumView;
}
}
-
-// locate by bisection, O(log2(n))
-// iLastFloor is used when sequential calls to interpolate have monotonically increasing dX
-double
-ParallelRaysums::interpolate (double* pdX, double* pdY, int n, double dX, int* iLastFloor)
-{
- int iLower = -1;
- int iUpper = n;
- if (iLastFloor && *iLastFloor >= 0 && pdX[*iLastFloor] < dX)
- iLower = *iLastFloor;
-
- 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;
- }
-
- if (iLastFloor)
- *iLastFloor = iLower;
- return pdY[iLower] + (pdY[iUpper] - pdY[iLower]) * ((dX - pdX[iLower]) / (pdX[iUpper] - pdX[iLower]));
-}
-