package edu.stanford.rsl.tutorial.truncation;
import ij.ImageJ;
import edu.stanford.rsl.apps.gui.Citeable;
import edu.stanford.rsl.conrad.data.numeric.Grid2D;
import edu.stanford.rsl.tutorial.filters.RamLakKernel;
import edu.stanford.rsl.tutorial.parallel.ParallelBackprojector2D;
import edu.stanford.rsl.tutorial.parallel.ParallelProjector2D;
import edu.stanford.rsl.tutorial.phantoms.Phantom;
/**
* Test implementation to show that a constant offset inside the ROI in the artifact image is not possible.
* Enforcing the 0 attenuation inside the FOV and a constant value in the artifact image converges to 0.
* @author akmaier
*
*/
public class NonZeroArtifactImage extends Phantom implements Citeable {
public String getBibtexCitation() {
return "@article{Yu2009, \n"+
" author = {Yu, Hengyong and Yang, Jiansheng and Jiang, Ming and Wang, Ge},\n"+
" doi = {10.1088/0031-9155/54/18/N04.Supplemental},\n"+
" file = {:C$\backslash$:/Users/z002xsyz/Desktop/supplemental.pdf:pdf},\n"+
" institution = {CT Laboratory, Biomedical Imaging Division, VT-WFU School of Biomedical Engineering, Virginia Tech, Blacksburg, VA 24061, USA. hengyong-yu@ieee.org},\n"+
" journal = {Physics in Medicine and Biology},\n"+
" keywords = {artifact image,compressed sensing,computed tomography,ct,interior tomography,minimization,total variation},\n"+
" number = {18},\n"+
" pages = {N425--N432},\n"+
" publisher = {IOP Publishing},\n"+
" title = {{Supplemental analysis on compressed sensing based interior tomography.}},\n"+
" volume = {54},\n"+
" year = {2009}\n"+
" }";
}
public String getMedlineCitation() {
return "Yu, H., Yang, J., Jiang, M., & Wang, G. (2009). Supplemental analysis on compressed sensing based interior tomography. Physics in Medicine and Biology, 54(18), N425–N432. doi:10.1088/0031-9155/54/18/N04.Supplemental";
}
public NonZeroArtifactImage(int x, int y) {
super(x, y, "NonZeroArtifactImage");
boolean showProgress = false;
// Create circle in the grid.
double radius = 0.40 * x;
double radius2 = 0.50 * x;
int xcenter = x / 2;
int ycenter = y / 2;
float val = 1.f;
for (int i = 0; i < x; i++) {
for (int j = 0; j < y; j++) {
if (Math.pow(i - xcenter, 2) + Math.pow(j - ycenter, 2) <= (radius * radius)) {
super.setAtIndex(i, j, val);
} else {
if (Math.pow(i - xcenter, 2) + Math.pow(j - ycenter, 2) <= (radius2 * radius2)){
super.setAtIndex(i, j, -4.f);
}
}
}
}
int iterations = 1001;
int truncationSize = x/4;
radius = truncationSize;
int numS = x;
double deltaS = x / (double)(x+1);
int numTheta = 360;
ParallelProjector2D projector2d = new ParallelProjector2D(Math.PI, Math.PI/(numTheta-1), numS, deltaS);
Grid2D sinogram = projector2d.projectRayDrivenCL(this);
if (showProgress) sinogram.show("Cylinder Sinogram");
Grid2D truncatedSinogram = new Grid2D(sinogram);
for (int iter = 1; iter < iterations; iter++){
if (showProgress) if (iter%50 == 0) truncatedSinogram.show("Artifact Sinogram " + iter);
truncatedSinogram = new Grid2D(truncatedSinogram);
for (int i=0; i < numTheta; i++) {
for (int j = truncationSize; j < numS - truncationSize; j++){
truncatedSinogram.setAtIndex(i, j, 0);
}
}
RamLakKernel ramLakFilter = new RamLakKernel((int) (numS / deltaS), deltaS);
for (int theta = 0; theta < sinogram.getSize()[0]; ++theta) {
ramLakFilter.applyToGrid(truncatedSinogram.getSubGrid(theta));
}
ParallelBackprojector2D backprojector2d = new ParallelBackprojector2D(numS, numS, 1, 1);
Grid2D truncatedImage = backprojector2d.backprojectPixelDriven(truncatedSinogram);
if (showProgress) if (iter%50 == 0) truncatedImage.show("Artifact Image" + iter);
truncatedImage = new Grid2D(truncatedImage);
double sum = 0;
long number = 0;
for (int i = 0; i < x; i++) {
for (int j = 0; j < y; j++) {
if (Math.pow(i - xcenter, 2) + Math.pow(j - ycenter, 2) <= (radius * radius)) {
sum += truncatedImage.getAtIndex(i, j);
number++;
}
if (Math.pow(i - xcenter, 2) + Math.pow(j - ycenter, 2) > (radius2 * radius2)){
truncatedImage.setAtIndex(i, j, 0);
}
}
}
double mean = sum / number;
for (int i = 0; i < x; i++) {
for (int j = 0; j < y; j++) {
if (Math.pow(i - xcenter, 2) + Math.pow(j - ycenter, 2) <= (radius * radius)) {
truncatedImage.setAtIndex(i, j, (float)mean);
}
}
}
truncatedSinogram = projector2d.projectRayDrivenCL(truncatedImage);
}
}
/**
* @param args
*/
public static void main(String[] args) {
new ImageJ();
Grid2D phantom = new NonZeroArtifactImage(200, 200);
phantom.show("Phantom");
}
}
/*
* Copyright (C) 2010-2014 Andreas Maier
* CONRAD is developed as an Open Source project under the GNU General Public License (GPL).
*/