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+/*
+-----------------------------------------------------------------------
+Copyright 2012 iMinds-Vision Lab, University of Antwerp
+
+Contact: astra@ua.ac.be
+Website: http://astra.ua.ac.be
+
+
+This file is part of the
+All Scale Tomographic Reconstruction Antwerp Toolbox ("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/>.
+
+-----------------------------------------------------------------------
+$Id$
+*/
+
+
+
+//----------------------------------------------------------------------------------------
+// PROJECT ALL
+template <typename Policy>
+void CParallelBeamLinearKernelProjector2D::project(Policy& p)
+{
+ // variables
+ float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, t;
+ float32 lengthPerRow, updatePerRow, inv_pixelLengthX;
+ float32 lengthPerCol, updatePerCol, inv_pixelLengthY;
+ bool switch_t;
+ int iAngle, iDetector, iVolumeIndex, iRayIndex;
+ int row, col, x1;
+ float32 P,x,x2;
+
+ // loop angles
+ for (iAngle = 0; iAngle < m_pProjectionGeometry->getProjectionAngleCount(); ++iAngle) {
+
+ // get theta
+ theta = m_pProjectionGeometry->getProjectionAngle(iAngle);
+ switch_t = false;
+ if (theta >= 7*PIdiv4) theta -= 2*PI;
+ if (theta >= 3*PIdiv4) {
+ theta -= PI;
+ switch_t = true;
+ }
+
+ // precalculate sin, cos, 1/cos
+ sin_theta = sin(theta);
+ cos_theta = cos(theta);
+ inv_cos_theta = 1.0f / cos_theta;
+ inv_sin_theta = 1.0f / sin_theta;
+
+ // precalculate kernel limits
+ lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta;
+ updatePerRow = sin_theta * inv_cos_theta;
+ inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX();
+
+ // precalculate kernel limits
+ lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta;
+ updatePerCol = cos_theta * inv_sin_theta;
+ inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY();
+
+ // loop detectors
+ for (iDetector = 0; iDetector < m_pProjectionGeometry->getDetectorCount(); ++iDetector) {
+
+ iRayIndex = iAngle * m_pProjectionGeometry->getDetectorCount() + iDetector;
+
+ // POLICY: RAY PRIOR
+ if (!p.rayPrior(iRayIndex)) continue;
+
+ // get t
+ t = m_pProjectionGeometry->indexToDetectorOffset(iDetector);
+ if (switch_t) {
+ t = -t;
+ }
+
+ // vertically
+ if (theta <= PIdiv4) {
+
+ // calculate x for row 0
+ P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta;
+ x = m_pVolumeGeometry->coordXToColF(P) - 0.5f;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get coords
+ x1 = int((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerRow;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // horizontally
+ else if (PIdiv4 <= theta && theta <= 3*PIdiv4) {
+
+ // calculate point P
+ P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta;
+ x = m_pVolumeGeometry->coordYToRowF(P) - 0.5f;
+
+ // for each row
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get coords
+ x1 = int((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerCol;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, x2 * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end loop detector
+ } // end loop angles
+
+}
+
+
+//----------------------------------------------------------------------------------------
+// PROJECT SINGLE PROJECTION
+template <typename Policy>
+void CParallelBeamLinearKernelProjector2D::projectSingleProjection(int _iProjection, Policy& p)
+{
+ // variables
+ float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, t;
+ float32 lengthPerRow, updatePerRow, inv_pixelLengthX;
+ float32 lengthPerCol, updatePerCol, inv_pixelLengthY;
+ bool switch_t;
+ int iDetector, iVolumeIndex, iRayIndex;
+ int row, col, x1;
+ float32 P,x,x2;
+
+ // get theta
+ theta = m_pProjectionGeometry->getProjectionAngle(_iProjection);
+ switch_t = false;
+ if (theta >= 7*PIdiv4) theta -= 2*PI;
+ if (theta >= 3*PIdiv4) {
+ theta -= PI;
+ switch_t = true;
+ }
+
+ // precalculate sin, cos, 1/cos
+ sin_theta = sin(theta);
+ cos_theta = cos(theta);
+ inv_cos_theta = 1.0f / cos_theta;
+ inv_sin_theta = 1.0f / sin_theta;
+
+ // precalculate kernel limits
+ lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta;
+ updatePerRow = sin_theta * inv_cos_theta;
+ inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX();
+
+ // precalculate kernel limits
+ lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta;
+ updatePerCol = cos_theta * inv_sin_theta;
+ inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY();
+
+ // loop detectors
+ for (iDetector = 0; iDetector < m_pProjectionGeometry->getDetectorCount(); ++iDetector) {
+
+ iRayIndex = _iProjection * m_pProjectionGeometry->getDetectorCount() + iDetector;
+
+ // POLICY: RAY PRIOR
+ if (!p.rayPrior(iRayIndex)) continue;
+
+ // get t
+ t = m_pProjectionGeometry->indexToDetectorOffset(iDetector);
+ if (switch_t) {
+ t = -t;
+ }
+
+ // vertically
+ if (theta <= PIdiv4) {
+
+ // calculate x for row 0
+ P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta;
+ x = m_pVolumeGeometry->coordXToColF(P) - 0.5f;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get coords
+ x1 = (int)((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerRow;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // horizontally
+ else if (PIdiv4 <= theta && theta <= 3*PIdiv4) {
+
+ // calculate point P
+ P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta;
+ x = m_pVolumeGeometry->coordYToRowF(P) - 0.5f;
+
+ // for each row
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get coords
+ x1 = (int)((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerCol;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, x2 * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end loop detector
+}
+
+//----------------------------------------------------------------------------------------
+// PROJECT SINGLE RAY
+template <typename Policy>
+void CParallelBeamLinearKernelProjector2D::projectSingleRay(int _iProjection, int _iDetector, Policy& p)
+{
+ int iVolumeIndex, iRayIndex;
+
+ iRayIndex = _iProjection * m_pProjectionGeometry->getDetectorCount() + _iDetector;
+
+ // POLICY: RAY PRIOR
+ if (!p.rayPrior(iRayIndex)) return;
+
+ // get theta
+ float32 theta = m_pProjectionGeometry->getProjectionAngle(_iProjection);
+ bool switch_t = false;
+ if (theta >= 7*PIdiv4) theta -= 2*PI;
+ if (theta >= 3*PIdiv4) {
+ theta -= PI;
+ switch_t = true;
+ }
+
+ // get t
+ float32 t = m_pProjectionGeometry->indexToDetectorOffset(_iDetector);
+ if (switch_t) {
+ t = -t;
+ }
+
+ // vertically
+ if (theta <= PIdiv4) {
+
+ // precalculate sin, 1/cos
+ float32 sin_theta = sin(theta);
+ float32 inv_cos_theta = 1.0f / cos(theta);
+
+ // precalculate kernel limits
+ float32 lengthPerRow = m_pVolumeGeometry->getPixelLengthY() * inv_cos_theta;
+ float32 updatePerRow = sin_theta * inv_cos_theta;
+
+ int row, x1;
+ float32 P,x,x2;
+
+ // calculate x for row 0
+ P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta;
+ x = m_pVolumeGeometry->coordXToColF(P) - 0.5f;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get coords
+ x1 = (int)((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerRow;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, x1+1);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (x2) * lengthPerRow);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // horizontally
+ else if (PIdiv4 <= theta && theta <= 3*PIdiv4) {
+
+ // precalculate cos 1/sin
+ float32 cos_theta = cos(theta);
+ float32 inv_sin_theta = 1.0f / sin(theta);
+
+ // precalculate kernel limits
+ float32 lengthPerCol = m_pVolumeGeometry->getPixelLengthX() * inv_sin_theta;
+ float32 updatePerCol = cos_theta * inv_sin_theta;
+
+ int col, x1;
+ float32 P,x,x2;
+
+ // calculate point P
+ P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta;
+ x = m_pVolumeGeometry->coordYToRowF(P) - 0.5f;
+
+ // for each row
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get coords
+ x1 = (int)((x > 0.0f) ? x : x-1.0f);
+ x2 = x - x1;
+ x += updatePerCol;
+
+ // add weights
+ if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, (1.0f - x2) * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridRowCount()) {
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
+ // POLICY: PIXEL PRIOR + ADD + POSTERIOR
+ if (p.pixelPrior(iVolumeIndex)) {
+ p.addWeight(iRayIndex, iVolumeIndex, x2 * lengthPerCol);
+ p.pixelPosterior(iVolumeIndex);
+ }
+ }
+ }
+ }
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+}
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