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Image processing operations for SciJava Ops.
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/*
* #%L
* Image processing operations for SciJava Ops.
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package org.scijava.ops.image.threshold.maxEntropy;
import org.scijava.ops.image.threshold.AbstractComputeThresholdHistogram;
import net.imglib2.histogram.Histogram1d;
import net.imglib2.type.numeric.RealType;
// NB - this plugin adapted from Gabriel Landini's code of his AutoThreshold
// plugin found in Fiji (version 1.14).
/**
* Implements Kapur-Sahoo-Wong (Maximum Entropy) thresholding method.
*
* @author Barry DeZonia
* @author Gabriel Landini
* @implNote op names='threshold.maxEntropy', priority='100.'
*/
public class ComputeMaxEntropyThreshold> extends
AbstractComputeThresholdHistogram
{
/**
* @param hist the {@link Histogram1d}
* @return the Max Entropy threshold
*/
@Override
public long computeBin(final Histogram1d hist) {
final long[] histogram = hist.toLongArray();
return computeBin(histogram);
}
/**
* Implements Kapur-Sahoo-Wong (Maximum Entropy) thresholding method
* Kapur J.N., Sahoo P.K., and Wong A.K.C. (1985) "A New Method for
* Gray-Level Picture Thresholding Using the Entropy of the Histogram"
* Graphical Models and Image Processing, 29(3): 273-285
* M. Emre Celebi
* 06.15.2007
* Ported to ImageJ plugin by G.Landini from E Celebi's fourier_0.8
* routines
*/
public static long computeBin(final long[] histogram) {
int threshold = -1;
int ih, it;
int first_bin;
int last_bin;
double tot_ent; /* total entropy */
double max_ent; /* max entropy */
double ent_back; /* entropy of the background pixels at a given threshold */
double ent_obj; /* entropy of the object pixels at a given threshold */
final double[] norm_histo = new double[histogram.length]; /*
* normalized
* histogram
*/
final double[] P1 = new double[histogram.length]; /*
* cumulative normalized
* histogram
*/
final double[] P2 = new double[histogram.length];
int total = 0;
for (ih = 0; ih < histogram.length; ih++)
total += histogram[ih];
for (ih = 0; ih < histogram.length; ih++)
norm_histo[ih] = (double) histogram[ih] / total;
P1[0] = norm_histo[0];
P2[0] = 1.0 - P1[0];
for (ih = 1; ih < histogram.length; ih++) {
P1[ih] = P1[ih - 1] + norm_histo[ih];
P2[ih] = 1.0 - P1[ih];
}
/* Determine the first non-zero bin */
first_bin = 0;
for (ih = 0; ih < histogram.length; ih++) {
if (!(Math.abs(P1[ih]) < 2.220446049250313E-16)) {
first_bin = ih;
break;
}
}
/* Determine the last non-zero bin */
last_bin = histogram.length - 1;
for (ih = histogram.length - 1; ih >= first_bin; ih--) {
if (!(Math.abs(P2[ih]) < 2.220446049250313E-16)) {
last_bin = ih;
break;
}
}
// Calculate the total entropy each gray-level
// and find the threshold that maximizes it
max_ent = Double.NEGATIVE_INFINITY;
for (it = first_bin; it <= last_bin; it++) {
/* Entropy of the background pixels */
ent_back = 0.0;
for (ih = 0; ih <= it; ih++) {
if (histogram[ih] != 0) {
ent_back -= (norm_histo[ih] / P1[it]) * Math.log(norm_histo[ih] /
P1[it]);
}
}
/* Entropy of the object pixels */
ent_obj = 0.0;
for (ih = it + 1; ih < histogram.length; ih++) {
if (histogram[ih] != 0) {
ent_obj -= (norm_histo[ih] / P2[it]) * Math.log(norm_histo[ih] /
P2[it]);
}
}
/* Total entropy */
tot_ent = ent_back + ent_obj;
// IJ.log(""+max_ent+" "+tot_ent);
if (max_ent < tot_ent) {
max_ent = tot_ent;
threshold = it;
}
}
return threshold;
}
}
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