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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 CParallelBeamStripKernelProjector2D::project(Policy& p)
+{
+ ASTRA_ASSERT(m_bIsInitialized);
+
+ // Some variables
+ float32 theta, t;
+ int row, col;
+ int iAngle;
+ int iDetector;
+ float32 res;
+ float32 PL, PLimitL, PLimitR;
+ float32 xL, xR, XLimitL, XLimitR;
+ int x1L,x1R;
+ float32 x2L, x2R, updateX;
+ int iVolumeIndex, iRayIndex;
+
+ float32 sin_theta, cos_theta, inv_sin_theta, inv_cos_theta;
+ float32 fabs_sin_theta, fabs_cos_theta, fabs_inv_sin_theta, fabs_inv_cos_theta;
+ float32 PW, PH, DW, inv_PW, inv_PH;
+ float32 S, T, U, V, inv_4T;
+
+ // loop angles
+ for (iAngle = 0; iAngle < m_pProjectionGeometry->getProjectionAngleCount(); ++iAngle) {
+
+ // get values
+ theta = m_pProjectionGeometry->getProjectionAngle(iAngle);
+ bool 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;
+
+ fabs_sin_theta = (sin_theta < 0.0f) ? -sin_theta : sin_theta;
+ fabs_cos_theta = (cos_theta < 0.0f) ? -cos_theta : cos_theta;
+ fabs_inv_cos_theta = (inv_cos_theta < 0.0f) ? -inv_cos_theta : inv_cos_theta;
+ fabs_inv_sin_theta = (inv_sin_theta < 0.0f) ? -inv_sin_theta : inv_sin_theta;
+
+ // Other precalculations
+ PW = m_pVolumeGeometry->getPixelLengthX();
+ PH = m_pVolumeGeometry->getPixelLengthY();
+ DW = m_pProjectionGeometry->getDetectorWidth();
+ inv_PW = 1.0f / PW;
+ inv_PH = 1.0f / PH;
+
+ // [-45?,45?] and [135?,225?]
+ if (theta < PIdiv4) {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_sin_theta * fabs_inv_cos_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = sin_theta * inv_cos_theta;
+
+ // 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;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0) - DW*0.5f) * inv_cos_theta;
+ PLimitL = PL - 0.5f * fabs_sin_theta * fabs_inv_cos_theta * PH;
+ PLimitR = PLimitL + DW * inv_cos_theta + PH * fabs_sin_theta * fabs_inv_cos_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (PLimitL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ XLimitR = (PLimitR - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xL = (PL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xR = xL + (DW * inv_cos_theta) * inv_PW;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (col = x1L; col <= x1R; ++col) {
+
+ if (col < 0 || col >= m_pVolumeGeometry->getGridColCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end col loop
+
+ } // end row loop
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end detector loop
+
+ // [45?,135?] and [225?,315?]
+ // horizontaly
+ } else {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_cos_theta * fabs_inv_sin_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = cos_theta * inv_sin_theta;
+
+ // 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;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0) + DW*0.5f) * inv_sin_theta;
+ PLimitL = PL + 0.5f * fabs_cos_theta * fabs_inv_sin_theta * PW;
+ PLimitR = PLimitL - DW * inv_sin_theta - PH * fabs_cos_theta * fabs_inv_sin_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (m_pVolumeGeometry->getWindowMaxY() - PLimitL) * inv_PH;
+ XLimitR = (m_pVolumeGeometry->getWindowMaxY() - PLimitR) * inv_PH;
+ xL = (m_pVolumeGeometry->getWindowMaxY() - PL) * inv_PH;
+ xR = xL + (DW * fabs_inv_sin_theta) * inv_PH;
+
+ // for each col
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (row = x1L; row <= x1R; ++row) {
+
+ if (row < 0 || row >= m_pVolumeGeometry->getGridRowCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end row loop
+
+ } // end col loop
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end detector loop
+
+
+ } // end theta switch
+
+ } // end angle loop
+}
+
+
+//----------------------------------------------------------------------------------------
+// PROJECT SINGLE PROJECTION
+template <typename Policy>
+void CParallelBeamStripKernelProjector2D::projectSingleProjection(int _iProjection, Policy& p)
+{
+ // Some variables
+ float32 theta, t;
+ int row, col, iDetector;
+ float32 res;
+ float32 PL, PLimitL, PLimitR;
+ float32 xL, xR, XLimitL, XLimitR;
+ int x1L,x1R;
+ float32 x2L, x2R, updateX;
+ int iVolumeIndex, iRayIndex;
+
+ float32 sin_theta, cos_theta, inv_sin_theta, inv_cos_theta;
+ float32 fabs_sin_theta, fabs_cos_theta, fabs_inv_sin_theta, fabs_inv_cos_theta;
+ float32 PW, PH, DW, inv_PW, inv_PH;
+ float32 S, T, U, V, inv_4T;
+
+ // get values
+ 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;
+ }
+
+ // 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;
+
+ fabs_sin_theta = (sin_theta < 0.0f) ? -sin_theta : sin_theta;
+ fabs_cos_theta = (cos_theta < 0.0f) ? -cos_theta : cos_theta;
+ fabs_inv_cos_theta = (inv_cos_theta < 0.0f) ? -inv_cos_theta : inv_cos_theta;
+ fabs_inv_sin_theta = (inv_sin_theta < 0.0f) ? -inv_sin_theta : inv_sin_theta;
+
+ // Other precalculations
+ PW = m_pVolumeGeometry->getPixelLengthX();
+ PH = m_pVolumeGeometry->getPixelLengthY();
+ DW = m_pProjectionGeometry->getDetectorWidth();
+ inv_PW = 1.0f / PW;
+ inv_PH = 1.0f / PH;
+
+ // [-45?,45?] and [135?,225?]
+ if (theta < PIdiv4) {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_sin_theta * fabs_inv_cos_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = sin_theta * inv_cos_theta;
+
+ // 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;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0) - DW*0.5f) * inv_cos_theta;
+ PLimitL = PL - 0.5f * fabs_sin_theta * fabs_inv_cos_theta * PH;
+ PLimitR = PLimitL + DW * inv_cos_theta + PH * fabs_sin_theta * fabs_inv_cos_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (PLimitL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ XLimitR = (PLimitR - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xL = (PL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xR = xL + (DW * inv_cos_theta) * inv_PW;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (col = x1L; col <= x1R; ++col) {
+
+ if (col < 0 || col >= m_pVolumeGeometry->getGridColCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end col loop
+
+ } // end row loop
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end detector loop
+
+ // [45?,135?] and [225?,315?]
+ // horizontaly
+ } else {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_cos_theta * fabs_inv_sin_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = cos_theta * inv_sin_theta;
+
+ // 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;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0) + DW*0.5f) * inv_sin_theta;
+ PLimitL = PL + 0.5f * fabs_cos_theta * fabs_inv_sin_theta * PW;
+ PLimitR = PLimitL - DW * inv_sin_theta - PH * fabs_cos_theta * fabs_inv_sin_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (m_pVolumeGeometry->getWindowMaxY() - PLimitL) * inv_PH;
+ XLimitR = (m_pVolumeGeometry->getWindowMaxY() - PLimitR) * inv_PH;
+ xL = (m_pVolumeGeometry->getWindowMaxY() - PL) * inv_PH;
+ xR = xL + (DW * fabs_inv_sin_theta) * inv_PH;
+
+ // for each col
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (row = x1L; row <= x1R; ++row) {
+
+ if (row < 0 || row >= m_pVolumeGeometry->getGridRowCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end row loop
+
+ } // end col loop
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+ } // end detector loop
+
+ } // end theta switch
+}
+
+
+//----------------------------------------------------------------------------------------
+// PROJECT SINGLE RAY
+template <typename Policy>
+void CParallelBeamStripKernelProjector2D::projectSingleRay(int _iProjection, int _iDetector, Policy& p)
+{
+ int iRayIndex = _iProjection * m_pProjectionGeometry->getDetectorCount() + _iDetector;
+
+ // POLICY: RAY PRIOR
+ if (!p.rayPrior(iRayIndex)) return;
+
+ // Some variables
+ float32 theta, t;
+ int row, col;
+ float32 res;
+ float32 PL, PLimitL, PLimitR;
+ float32 xL, xR, XLimitL, XLimitR;
+ int x1L,x1R;
+ float32 x2L, x2R, updateX;
+ int iVolumeIndex;
+
+ float32 sin_theta, cos_theta, inv_sin_theta, inv_cos_theta;
+ float32 fabs_sin_theta, fabs_cos_theta, fabs_inv_sin_theta, fabs_inv_cos_theta;
+ float32 PW, PH, DW, inv_PW, inv_PH;
+ float32 S, T, U, V, inv_4T;
+
+ // get values
+ 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;
+ }
+
+ // 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;
+
+ fabs_sin_theta = (sin_theta < 0.0f) ? -sin_theta : sin_theta;
+ fabs_cos_theta = (cos_theta < 0.0f) ? -cos_theta : cos_theta;
+ fabs_inv_cos_theta = (inv_cos_theta < 0.0f) ? -inv_cos_theta : inv_cos_theta;
+ fabs_inv_sin_theta = (inv_sin_theta < 0.0f) ? -inv_sin_theta : inv_sin_theta;
+
+ // Other precalculations
+ PW = m_pVolumeGeometry->getPixelLengthX();
+ PH = m_pVolumeGeometry->getPixelLengthY();
+ DW = m_pProjectionGeometry->getDetectorWidth();
+ inv_PW = 1.0f / PW;
+ inv_PH = 1.0f / PH;
+
+ // [-45?,45?] and [135?,225?]
+ if (theta < PIdiv4) {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_sin_theta * fabs_inv_cos_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = sin_theta * inv_cos_theta;
+
+ // get t
+ t = m_pProjectionGeometry->indexToDetectorOffset(_iDetector);
+ if (switch_t) t = -t;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0) - DW*0.5f) * inv_cos_theta;
+ PLimitL = PL - 0.5f * fabs_sin_theta * fabs_inv_cos_theta * PH;
+ PLimitR = PLimitL + DW * inv_cos_theta + PH * fabs_sin_theta * fabs_inv_cos_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (PLimitL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ XLimitR = (PLimitR - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xL = (PL - m_pVolumeGeometry->getWindowMinX()) * inv_PW;
+ xR = xL + (DW * inv_cos_theta) * inv_PW;
+
+ // for each row
+ for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (col = x1L; col <= x1R; ++col) {
+
+ if (col < 0 || col >= m_pVolumeGeometry->getGridColCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end col loop
+
+ } // end row loop
+
+ // [45?,135?] and [225?,315?]
+ // horizontaly
+ } else {
+
+ // Precalculate kernel limits
+ S = -0.5f * fabs_cos_theta * fabs_inv_sin_theta;
+ T = -S;
+ U = 1.0f + S;
+ V = 1.0f - S;
+ inv_4T = 0.25f / T;
+
+ updateX = cos_theta * inv_sin_theta;
+
+ // get t
+ t = m_pProjectionGeometry->indexToDetectorOffset(_iDetector);
+ if (switch_t) t = -t;
+
+ // calculate left strip extremes (volume coordinates)
+ PL = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0) + DW*0.5f) * inv_sin_theta;
+ PLimitL = PL + 0.5f * fabs_cos_theta * fabs_inv_sin_theta * PW;
+ PLimitR = PLimitL - DW * inv_sin_theta - PH * fabs_cos_theta * fabs_inv_sin_theta;
+
+ // calculate strip extremes (pixel coordinates)
+ XLimitL = (m_pVolumeGeometry->getWindowMaxY() - PLimitL) * inv_PH;
+ XLimitR = (m_pVolumeGeometry->getWindowMaxY() - PLimitR) * inv_PH;
+ xL = (m_pVolumeGeometry->getWindowMaxY() - PL) * inv_PH;
+ xR = xL + (DW * fabs_inv_sin_theta) * inv_PH;
+
+ // for each col
+ for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
+
+ // get strip extremes in column indices
+ x1L = int((XLimitL > 0.0f) ? XLimitL : XLimitL-1.0f);
+ x1R = int((XLimitR > 0.0f) ? XLimitR : XLimitR-1.0f);
+
+ // get coords w.r.t leftmost column hit by strip
+ x2L = xL - x1L;
+ x2R = xR - x1L;
+
+ // update strip extremes for the next row
+ XLimitL += updateX;
+ XLimitR += updateX;
+ xL += updateX;
+ xR += updateX;
+
+ // for each affected col
+ for (row = x1L; row <= x1R; ++row) {
+
+ if (row < 0 || row >= m_pVolumeGeometry->getGridRowCount()) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(row, col);
+
+ // POLICY: PIXEL PRIOR
+ if (!p.pixelPrior(iVolumeIndex)) { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // right
+ if (x2R >= V) res = 1.0f;
+ else if (x2R > U) res = x2R - (x2R-U)*(x2R-U)*inv_4T;
+ else if (x2R >= T) res = x2R;
+ else if (x2R > S) res = (x2R-S)*(x2R-S) * inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // left
+ if (x2L <= S) {} // - 0.0f
+ else if (x2L < T) res -= (x2L-S)*(x2L-S) * inv_4T;
+ else if (x2L <= U) res -= x2L;
+ else if (x2L < V) res -= x2L - (x2L-U)*(x2L-U)*inv_4T;
+ else { x2L -= 1.0f; x2R -= 1.0f; continue; }
+
+ // POLICY: ADD
+ p.addWeight(iRayIndex, iVolumeIndex, PW*PH * res);
+
+ // POLICY: PIXEL POSTERIOR
+ p.pixelPosterior(iVolumeIndex);
+
+ x2L -= 1.0f;
+ x2R -= 1.0f;
+
+ } // end row loop
+
+ } // end col loop
+
+ } // end theta switch
+
+ // POLICY: RAY POSTERIOR
+ p.rayPosterior(iRayIndex);
+
+}