package edu.stanford.rsl.tutorial.fan.redundancy;
import ij.ImageJ;
import edu.stanford.rsl.conrad.data.numeric.Grid2D;
import edu.stanford.rsl.conrad.data.numeric.Grid3D;
import edu.stanford.rsl.conrad.data.numeric.NumericPointwiseOperators;
// Variable according to Slaney
// Note: Parker weights are not defined for super-short scans (maxBeta < pi + 2*gammaM) !! Use Silver or Compensation weights instead!
public class ParkerWeights extends Grid2D {
private final double gammaM;
private final int maxTIndex, maxBetaIndex;
public ParkerWeights(final double focalLength, final double maxT,
final double deltaT, double maxBeta, double deltaBeta) {
// Call constructor from superclass
super((int) Math.round(maxT / deltaT), (int)Math.round(maxBeta / deltaBeta) + 1);
// Initialize parameters
this.maxBetaIndex = (int)(Math.round(maxBeta / deltaBeta)) + 1;
this.maxTIndex = (int) Math.round(maxT / deltaT);
this.gammaM = (double) (Math.atan((maxT / 2.d)/ focalLength) );
double beta, alpha;
// iterate over the detector elements
for (int t = 0; t < maxTIndex; ++t) {
// compute alpha of the current ray (detector element)
alpha = Math.atan((t * deltaT - maxT / 2.d + 0.5*deltaT) / focalLength);
// iterate over the projection angles
for (int b = 0; b < maxBetaIndex; ++b) {
beta = b * deltaBeta;
// Shift weights such that they are centered (Important for maxBeta < pi + 2 * gammaM)
beta += (Math.PI+2*gammaM-maxBeta)/2.0;
// Adjust beta if out of range [0, 2*pi]
if (beta < 0) {
continue;
}
if (beta > Math.PI *2.d) {
continue;
}
// implement the conditions as described in Parker's paper
if (beta <= 2 * (gammaM - alpha)) {
double tmp = beta * Math.PI / 4.d / (gammaM - alpha);
float val = (float) Math.pow(Math.sin(tmp), 2.d);
if (Double.isNaN(val)){
continue;
}
this.setAtIndex(t, b , val);
} else if (beta < Math.PI - 2.d * alpha) {
this.setAtIndex(t, b , 1);
}
else if (beta <= (Math.PI + 2.d * gammaM) + 1e-12) {
double tmp = (Math.PI / 4.d) * ( (Math.PI + 2.d*gammaM - beta) / (gammaM + alpha) );
float val = (float) Math.pow(Math.sin(tmp), 2.d);
if (Double.isNaN(val)){
continue;
}
this.setAtIndex(t, b , val);
}
}
}
// Correct for scaling due to varying angle
NumericPointwiseOperators.multiplyBy(this, (float)( maxBeta / (Math.PI)));
}
public void applyToGrid(Grid2D sino) {
NumericPointwiseOperators.multiplyBy(sino, this);
}
public static void main (String [] args){
//fan beam bp parameters
double maxT = 285;
//double gammaM =Math.atan2(maxT / 2.f - 0.5, focalLength) * 2.0;
double fan = 10.0*Math.PI/180.0;
double focalLength = (maxT/2.0-0.5)/Math.tan(fan);
new ImageJ();
double deltaT = 1.d;
Grid3D g = new Grid3D((int)maxT, 181, 360, false);
for (int i = 0; i < 360; ++i)
{
double maxBeta = (double)(i+1) * Math.PI * 2.0 / 360.0;
double deltaBeta = maxBeta / 180;
ParkerWeights p = new ParkerWeights(focalLength, maxT, deltaT, maxBeta, deltaBeta);
//g.setSliceLabel("MaxBeta: " + Double.toString(maxBeta*180/Math.PI), i+1);
g.setSubGrid(i, p);
}
g.show();
}
}
/*
* Copyright (C) 2010-2014 Martin Berger
* CONRAD is developed as an Open Source project under the GNU General Public License (GPL).
*/