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/*
-----------------------------------------------------------------------
Copyright: 2010-2015, iMinds-Vision Lab, University of Antwerp
2014-2015, CWI, Amsterdam
Contact: astra@uantwerpen.be
Website: http://sf.net/projects/astra-toolbox
This file is part of the ASTRA Toolbox.
The ASTRA Toolbox is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
The ASTRA Toolbox is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with the ASTRA Toolbox. If not, see <http://www.gnu.org/licenses/>.
-----------------------------------------------------------------------
$Id$
*/
template <typename Policy>
void CParallelBeamBlobKernelProjector2D::project(Policy& p)
{
projectBlock_internal(0, m_pProjectionGeometry->getProjectionAngleCount(),
0, m_pProjectionGeometry->getDetectorCount(), p);
}
template <typename Policy>
void CParallelBeamBlobKernelProjector2D::projectSingleProjection(int _iProjection, Policy& p)
{
projectBlock_internal(_iProjection, _iProjection + 1,
0, m_pProjectionGeometry->getDetectorCount(), p);
}
template <typename Policy>
void CParallelBeamBlobKernelProjector2D::projectSingleRay(int _iProjection, int _iDetector, Policy& p)
{
projectBlock_internal(_iProjection, _iProjection + 1,
_iDetector, _iDetector + 1, p);
}
//----------------------------------------------------------------------------------------
// PROJECT BLOCK - vector projection geometry
//
// Kernel limitations: isotropic pixels (PixelLengthX == PixelLengthY)
//
// For each angle/detector pair:
//
// Let D=(Dx,Dy) denote the centre of the detector (point) in volume coordinates, and
// let R=(Rx,Ry) denote the direction of the ray (vector).
//
// For mainly vertical rays (|Rx|<=|Ry|),
// let E=(Ex,Ey) denote the centre of the most upper left pixel:
// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2),
// and let F=(Fx,Fy) denote a vector to the next pixel
// F = (PixelLengthX, 0)
//
// The intersection of the ray (D+aR) with the centre line of the upper row of pixels (E+bF) is
// { Dx + a*Rx = Ex + b*Fx
// { Dy + a*Ry = Ey + b*Fy
// Solving for (a,b) results in:
// a = (Ey + b*Fy - Dy)/Ry
// = (Ey - Dy)/Ry
// b = (Dx + a*Rx - Ex)/Fx
// = (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx
//
// Define c as the x-value of the intersection of the ray with the upper row in pixel coordinates.
// c = b
//
// The intersection of the ray (D+aR) with the centre line of the second row of pixels (E'+bF) with
// E'=(WindowMinX + PixelLengthX/2, WindowMaxY - 3*PixelLengthY/2)
// expressed in x-value pixel coordinates is
// c' = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx.
// And thus:
// deltac = c' - c = (Dx + (Ey' - Dy)*Rx/Ry - Ex)/Fx - (Dx + (Ey - Dy)*Rx/Ry - Ex)/Fx
// = [(Ey' - Dy)*Rx/Ry - (Ey - Dy)*Rx/Ry]/Fx
// = [Ey' - Ey]*(Rx/Ry)/Fx
// = [Ey' - Ey]*(Rx/Ry)/Fx
// = -PixelLengthY*(Rx/Ry)/Fx.
//
// Given c on a certain row, its pixel directly on its left (col), and the distance (offset) to it, can be found:
// col = floor(c)
// offset = c - col
//
// The index of this pixel is
// volumeIndex = row * colCount + col
//
//
// Mainly horizontal rays (|Rx|<=|Ry|) are handled in a similar fashion:
//
// E = (WindowMinX + PixelLengthX/2, WindowMaxY - PixelLengthY/2),
// F = (0, -PixelLengthX)
//
// a = (Ex + b*Fx - Dx)/Rx = (Ex - Dx)/Rx
// b = (Dy + a*Ry - Ey)/Fy = (Dy + (Ex - Dx)*Ry/Rx - Ey)/Fy
// r = b
// deltar = PixelLengthX*(Ry/Rx)/Fy.
// row = floor(r+1/2)
// offset = r - row
//
template <typename Policy>
void CParallelBeamBlobKernelProjector2D::projectBlock_internal(int _iProjFrom, int _iProjTo, int _iDetFrom, int _iDetTo, Policy& p)
{
// get vector geometry
const CParallelVecProjectionGeometry2D* pVecProjectionGeometry;
if (dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)) {
pVecProjectionGeometry = dynamic_cast<CParallelProjectionGeometry2D*>(m_pProjectionGeometry)->toVectorGeometry();
} else {
pVecProjectionGeometry = dynamic_cast<CParallelVecProjectionGeometry2D*>(m_pProjectionGeometry);
}
// precomputations
const float32 pixelLengthX = m_pVolumeGeometry->getPixelLengthX();
const float32 pixelLengthY = m_pVolumeGeometry->getPixelLengthY();
const float32 inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX();
const float32 inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY();
const int colCount = m_pVolumeGeometry->getGridColCount();
const int rowCount = m_pVolumeGeometry->getGridRowCount();
const int detCount = pVecProjectionGeometry->getDetectorCount();
// loop angles
#pragma omp parallel for
for (int iAngle = _iProjFrom; iAngle < _iProjTo; ++iAngle) {
// variables
float32 Dx, Dy, Ex, Ey, c, r, deltac, deltar, offset, invBlobExtent, RxOverRy, RyOverRx;
int iVolumeIndex, iRayIndex, row, col, iDetector;
int col_left, col_right, row_top, row_bottom, index;
const SParProjection * proj = &pVecProjectionGeometry->getProjectionVectors()[iAngle];
bool vertical = fabs(proj->fRayX) < fabs(proj->fRayY);
if (vertical) {
RxOverRy = proj->fRayX/proj->fRayY;
deltac = -m_pVolumeGeometry->getPixelLengthY() * (proj->fRayX/proj->fRayY) * inv_pixelLengthX;
invBlobExtent = m_pVolumeGeometry->getPixelLengthY() / abs(m_fBlobSize * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / proj->fRayY);
} else {
RyOverRx = proj->fRayY/proj->fRayX;
deltar = -m_pVolumeGeometry->getPixelLengthX() * (proj->fRayY/proj->fRayX) * inv_pixelLengthY;
invBlobExtent = m_pVolumeGeometry->getPixelLengthX() / abs(m_fBlobSize * sqrt(proj->fRayY*proj->fRayY + proj->fRayX*proj->fRayX) / proj->fRayX);
}
Ex = m_pVolumeGeometry->getWindowMinY() + pixelLengthX*0.5f;
Ey = m_pVolumeGeometry->getWindowMaxY() - pixelLengthY*0.5f;
// loop detectors
for (iDetector = _iDetFrom; iDetector < _iDetTo; ++iDetector) {
iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector;
// POLICY: RAY PRIOR
if (!p.rayPrior(iRayIndex)) continue;
Dx = proj->fDetSX + (iDetector+0.5f) * proj->fDetUX;
Dy = proj->fDetSY + (iDetector+0.5f) * proj->fDetUY;
// vertically
if (vertical) {
// calculate c for row 0
c = (Dx + (Ey - Dy)*RxOverRy - Ex) * inv_pixelLengthX;
// loop rows
for (row = 0; row < rowCount; ++row, c += deltac) {
col_left = int(c - 0.5f - m_fBlobSize);
col_right = int(c + 0.5f + m_fBlobSize);
if (col_left < 0) col_left = 0;
if (col_right > colCount-1) col_right = colCount-1;
// loop columns
for (col = col_left; col <= col_right; ++col) {
iVolumeIndex = row * colCount + col;
// POLICY: PIXEL PRIOR + ADD + POSTERIOR
if (p.pixelPrior(iVolumeIndex)) {
offset = abs(c - float32(col)) * invBlobExtent;
index = (int)(offset*m_iBlobSampleCount+0.5f);
p.addWeight(iRayIndex, iVolumeIndex, m_pfBlobValues[min(index,m_iBlobSampleCount-1)]);
p.pixelPosterior(iVolumeIndex);
}
}
}
}
// horizontally
else {
// calculate r for col 0
r = -(Dy + (Ex - Dx)*RyOverRx - Ey) * inv_pixelLengthY;
// loop columns
for (col = 0; col < colCount; ++col, r += deltar) {
row_top = int(r - 0.5f - m_fBlobSize);
row_bottom = int(r + 0.5f + m_fBlobSize);
if (row_top < 0) row_top = 0;
if (row_bottom > rowCount-1) row_bottom = rowCount-1;
// loop rows
for (row = row_top; row <= row_bottom; ++row) {
iVolumeIndex = row * colCount + col;
// POLICY: PIXEL PRIOR + ADD + POSTERIOR
if (p.pixelPrior(iVolumeIndex)) {
offset = abs(r - float32(row)) * invBlobExtent;
index = (int)(offset*m_iBlobSampleCount+0.5f);
p.addWeight(iRayIndex, iVolumeIndex, m_pfBlobValues[min(index,m_iBlobSampleCount-1)]);
p.pixelPosterior(iVolumeIndex);
}
}
}
}
// POLICY: RAY POSTERIOR
p.rayPosterior(iRayIndex);
} // end loop detector
} // end loop angles
}
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