/*
-----------------------------------------------------------------------
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 CParallelBeamLineKernelProjector2D::project(Policy& p)
{
	// variables
	float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, S, T, t, I, P, x, x2;
	float32 lengthPerRow, updatePerRow, inv_pixelLengthX, lengthPerCol, updatePerCol, inv_pixelLengthY;
	int iVolumeIndex, iRayIndex, row, col, iAngle, iDetector, x1;
	bool switch_t;

	// 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_sin_theta = 1.0f / sin_theta; 
		inv_cos_theta = 1.0f / cos_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();

		// precalculate S and T
		S = 0.5f - 0.5f * ((updatePerRow < 0) ? -updatePerRow : updatePerRow);
		T = 0.5f - 0.5f * ((updatePerCol < 0) ? -updatePerCol : updatePerCol);

		// 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 = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX;

				// get coords
				int nextx1 = int((x > 0.0f) ? x : x-1.0f);
				float nextx2 = x - nextx1;

				// for each row
				for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {

					x1 = nextx1;
					x2 = nextx2;

					nextx2 += updatePerRow;
					while (nextx2 >= 1.0f) {
						nextx2 -= 1.0f;
						nextx1++;
					}
					while (nextx2 < 0.0f) {
						nextx2 += 1.0f;
						nextx1--;
					}

					if (x1 < -1 || x1 > m_pVolumeGeometry->getGridColCount()) continue;

					// left
					if (x2 < 0.5f-S) {
						I = (0.5f - S + x2) / (1.0f - 2.0f*S) * lengthPerRow;

						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, lengthPerRow-I);
								p.pixelPosterior(iVolumeIndex);
							}
						}

						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, I);
								p.pixelPosterior(iVolumeIndex);
							}
						}
					}

					// center
					else if (x2 <= 0.5f+S) {
						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, lengthPerRow);
								p.pixelPosterior(iVolumeIndex);
							}
						}					
					}

					// right
					else  {
						I = (1.5f - S - x2) / (1.0f - 2.0f*S) * lengthPerRow;

						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, I);
								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, lengthPerRow-I);
								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->getWindowMaxY() - P) * inv_pixelLengthY;

				// get coords
				int nextx1 = int((x > 0.0f) ? x : x-1.0f);
				float nextx2 = x - nextx1;

				// for each col
				for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {

					x1 = nextx1;
					x2 = nextx2;

					nextx2 += updatePerCol;
					while (nextx2 >= 1.0f) {
						nextx2 -= 1.0f;
						nextx1++;
					}
					while (nextx2 < 0.0f) {
						nextx2 += 1.0f;
						nextx1--;
					}

					if (x1 < -1 || x1 > m_pVolumeGeometry->getGridRowCount()) continue;

					// up
					if (x2 < 0.5f-T) {
						I = (0.5f - T + x2) / (1.0f - 2.0f*T) * lengthPerCol;

						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, lengthPerCol-I);
								p.pixelPosterior(iVolumeIndex);
							}
						}

						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, I);
								p.pixelPosterior(iVolumeIndex);
							}
						}
					}

					// center
					else if (x2 <= 0.5f+T) {
						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, lengthPerCol);
								p.pixelPosterior(iVolumeIndex);
							}
						}					
					}

					// down
					else  {
						I = (1.5f - T - x2) / (1.0f - 2.0f*T) * lengthPerCol;

						if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
							iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
							// POLICY: PIXEL PRIOR + ADD + POSTERIOR
							if (p.pixelPrior(iVolumeIndex)) {
								p.addWeight(iRayIndex, iVolumeIndex, I);
								p.pixelPosterior(iVolumeIndex);
							}
						}
						if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
							iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
							// POLICY: PIXEL PRIOR + ADD + POSTERIOR
							if (p.pixelPrior(iVolumeIndex)) {
								p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I);
								p.pixelPosterior(iVolumeIndex);
							}
						}
					}
				}
			} // end loop col
	
			// POLICY: RAY POSTERIOR
			p.rayPosterior(iRayIndex);
	
		} // end loop detector
	} // end loop angles

}


//----------------------------------------------------------------------------------------
// PROJECT SINGLE PROJECTION
template <typename Policy>
void CParallelBeamLineKernelProjector2D::projectSingleProjection(int _iProjection, Policy& p)
{
	// variables
	float32 theta, sin_theta, cos_theta, inv_sin_theta, inv_cos_theta, S, T, t, I, P, x, x2;
	float32 lengthPerRow, updatePerRow, inv_pixelLengthX, lengthPerCol, updatePerCol, inv_pixelLengthY;
	int iVolumeIndex, iRayIndex, row, col, iDetector, x1;
	bool switch_t;

	// 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_sin_theta = 1.0f / sin_theta; 
	inv_cos_theta = 1.0f / cos_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();

	// precalculate S and T
	S = 0.5f - 0.5f * ((updatePerRow < 0) ? -updatePerRow : updatePerRow);
	T = 0.5f - 0.5f * ((updatePerCol < 0) ? -updatePerCol : updatePerCol);

	// 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 = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX;

			// get coords
			int nextx1 = int((x > 0.0f) ? x : x-1.0f);
			float nextx2 = x - nextx1;

			// for each row
			for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {

				x1 = nextx1;
				x2 = nextx2;

				nextx2 += updatePerRow;
				while (nextx2 >= 1.0f) {
					nextx2 -= 1.0f;
					nextx1++;
				}
				while (nextx2 < 0.0f) {
					nextx2 += 1.0f;
					nextx1--;
				}

				if (x1 < -1 || x1 > m_pVolumeGeometry->getGridColCount()) continue;

				// left
				if (x2 < 0.5f-S) {
					I = (0.5f - S + x2) / (1.0f - 2.0f*S) * lengthPerRow;

					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, lengthPerRow-I);
							p.pixelPosterior(iVolumeIndex);
						}
					}

					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, I);
							p.pixelPosterior(iVolumeIndex);
						}
					}
				}

				// center
				else if (x2 <= 0.5f+S) {
					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, lengthPerRow);
							p.pixelPosterior(iVolumeIndex);
						}
					}					
				}

				// right
				else {
					I = (1.5f - S - x2) / (1.0f - 2.0f*S) * lengthPerRow;

					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, I);
							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, lengthPerRow-I);
							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->getWindowMaxY() - P) * inv_pixelLengthY;

			// get coords
			int nextx1 = int((x > 0.0f) ? x : x-1.0f);
			float nextx2 = x - nextx1;

			// for each col
			for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {
			
				x1 = nextx1;
				x2 = nextx2;

				nextx2 += updatePerCol;
				while (nextx2 >= 1.0f) {
					nextx2 -= 1.0f;
					nextx1++;
				}
				while (nextx2 < 0.0f) {
					nextx2 += 1.0f;
					nextx1--;
				}

				if (x1 < -1 || x1 > m_pVolumeGeometry->getGridRowCount()) continue;

				// up
				if (x2 < 0.5f-T) {
					I = (0.5f - T + x2) / (1.0f - 2.0f*T) * lengthPerCol;

					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, lengthPerCol-I);
							p.pixelPosterior(iVolumeIndex);
						}
					}

					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, I);
							p.pixelPosterior(iVolumeIndex);
						}
					}
				}

				// center
				else if (x2 <= 0.5f+T) {
					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, lengthPerCol);
							p.pixelPosterior(iVolumeIndex);
						}
					}					
				}

				// down
				else {
					I = (1.5f - T - x2) / (1.0f - 2.0f*T) * lengthPerCol;

					if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
						iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
						// POLICY: PIXEL PRIOR + ADD + POSTERIOR
						if (p.pixelPrior(iVolumeIndex)) {
							p.addWeight(iRayIndex, iVolumeIndex, I);
							p.pixelPosterior(iVolumeIndex);
						}
					}
					if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
						iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
						// POLICY: PIXEL PRIOR + ADD + POSTERIOR
						if (p.pixelPrior(iVolumeIndex)) {
							p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I);
							p.pixelPosterior(iVolumeIndex);
						}
					}
				}
			}
		} // end loop col

		// POLICY: RAY POSTERIOR
		p.rayPosterior(iRayIndex);

	} // end loop detector
}



//----------------------------------------------------------------------------------------
// PROJECT SINGLE RAY
template <typename Policy>
void CParallelBeamLineKernelProjector2D::projectSingleRay(int _iProjection, int _iDetector, Policy& p)
{
	int iRayIndex = _iProjection * m_pProjectionGeometry->getDetectorCount() + _iDetector;

	// POLICY: RAY PRIOR
	if (!p.rayPrior(iRayIndex)) return;

	// variables
	float32 t, I, P, x, x2;
	int iVolumeIndex, row, col, x1;

	// 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
	t = m_pProjectionGeometry->indexToDetectorOffset(_iDetector);
	if (switch_t) t = -t;

	// vertically
	if (theta <= PIdiv4) {
	
		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;
		float32 inv_pixelLengthX = 1.0f / m_pVolumeGeometry->getPixelLengthX();
		float32 S = 0.5f - 0.5f * ((updatePerRow < 0) ? -updatePerRow : updatePerRow);

		// calculate x for row 0
		P = (t - sin_theta * m_pVolumeGeometry->pixelRowToCenterY(0)) * inv_cos_theta;
		x = (P - m_pVolumeGeometry->getWindowMinX()) * inv_pixelLengthX;

		// get coords
		int nextx1 = int((x > 0.0f) ? x : x-1.0f);
		float nextx2 = x - nextx1;

		// for each row
		for (row = 0; row < m_pVolumeGeometry->getGridRowCount(); ++row) {

			x1 = nextx1;
			x2 = nextx2;

			nextx2 += updatePerRow;
			while (nextx2 >= 1.0f) {
				nextx2 -= 1.0f;
				nextx1++;
			}
			while (nextx2 < 0.0f) {
				nextx2 += 1.0f;
				nextx1--;
			}

			if (x1 < -1 || x1 > m_pVolumeGeometry->getGridColCount()) continue;

			// left
			if (x2 < 0.5f-S) {
				I = (0.5f - S + x2) / (1.0f - 2.0f*S) * lengthPerRow;

				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, lengthPerRow-I);
						p.pixelPosterior(iVolumeIndex);
					}
				}

				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, I);
						p.pixelPosterior(iVolumeIndex);
					}
				}
			}

			// center
			else if (x2 <= 0.5f+S) {
				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, lengthPerRow);
						p.pixelPosterior(iVolumeIndex);
					}
				}					
			}

			// right
			else {
				I = (1.5f - S - x2) / (1.0f - 2.0f*S) * lengthPerRow;

				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, I);
						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, lengthPerRow-I);
						p.pixelPosterior(iVolumeIndex);
					}
				}
			}
		}
	}

	// horizontally
	else if (PIdiv4 <= theta && theta <= 3*PIdiv4) {

		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;
		float32 inv_pixelLengthY = 1.0f / m_pVolumeGeometry->getPixelLengthY();
		float32 T = 0.5f - 0.5f * ((updatePerCol < 0) ? -updatePerCol : updatePerCol);

		// calculate point P
		P = (t - cos_theta * m_pVolumeGeometry->pixelColToCenterX(0)) * inv_sin_theta;
		x = (m_pVolumeGeometry->getWindowMaxY() - P) * inv_pixelLengthY;

		// get coords
		int nextx1 = int((x > 0.0f) ? x : x-1.0f);
		float nextx2 = x - nextx1;

		// for each col
		for (col = 0; col < m_pVolumeGeometry->getGridColCount(); ++col) {

			x1 = nextx1;
			x2 = nextx2;

			nextx2 += updatePerCol;
			while (nextx2 >= 1.0f) {
				nextx2 -= 1.0f;
				nextx1++;
			}
			while (nextx2 < 0.0f) {
				nextx2 += 1.0f;
				nextx1--;
			}

			if (x1 < -1 || x1 > m_pVolumeGeometry->getGridRowCount()) continue;

			// up
			if (x2 < 0.5f-T) {
				I = (0.5f - T + x2) / (1.0f - 2.0f*T) * lengthPerCol;

				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, lengthPerCol-I);
						p.pixelPosterior(iVolumeIndex);
					}
				}

				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, I);
						p.pixelPosterior(iVolumeIndex);
					}
				}
			}

			// center
			else if (x2 <= 0.5f+T) {
				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, lengthPerCol);
						p.pixelPosterior(iVolumeIndex);
					}
				}					
			}

			// down
			else {
				I = (1.5f - T - x2) / (1.0f - 2.0f*T) * lengthPerCol;

				if (x1 >= 0 && x1 < m_pVolumeGeometry->getGridColCount()) {
					iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1, col);
					// POLICY: PIXEL PRIOR + ADD + POSTERIOR
					if (p.pixelPrior(iVolumeIndex)) {
						p.addWeight(iRayIndex, iVolumeIndex, I);
						p.pixelPosterior(iVolumeIndex);
					}
				}
				if (x1+1 >= 0 && x1+1 < m_pVolumeGeometry->getGridColCount()) {
					iVolumeIndex = m_pVolumeGeometry->pixelRowColToIndex(x1+1, col);
					// POLICY: PIXEL PRIOR + ADD + POSTERIOR
					if (p.pixelPrior(iVolumeIndex)) {
						p.addWeight(iRayIndex, iVolumeIndex, lengthPerCol-I);
						p.pixelPosterior(iVolumeIndex);
					}
				}
			}
		}
	} // end loop col

	// POLICY: RAY POSTERIOR
	p.rayPosterior(iRayIndex);

}