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 * Image processing operations for SciJava Ops.
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package org.scijava.ops.image.create;

import java.util.function.BiFunction;

import net.imglib2.Cursor;
import net.imglib2.Dimensions;
import net.imglib2.FinalInterval;
import net.imglib2.RandomAccessibleInterval;
import net.imglib2.img.Img;
import net.imglib2.type.Type;
import net.imglib2.type.numeric.ComplexType;
import net.imglib2.type.numeric.RealType;
import net.imglib2.view.Views;

/**
 * Creates a Gabor kernel with specifications for individual sigma per axis, and
 * a period vector.
 * 

* Kernels valid only for a subset of available axes are also supported. If, for * instance, filtering only along 2nd axis is desired, one may provide the * sigmas array filled with zeroes (0) except for the 2nd element. *

* The period vector is a vector along which oscillates the frequency part of * the Gabor filter. The length of this vector equals precisely the wave-length * of the oscillations (the length of 1 period). *

* All values are in units of pixels. Both input arrays have to be of the same * length. * * @author Vladimír Ulman */ public final class DefaultCreateKernelGabor { private DefaultCreateKernelGabor() { // Prevent instantiation of static utility class } public static , C extends ComplexType> RandomAccessibleInterval createKernel(final double[] sigmas, final double[] period, final C typeVar, final BiFunction> createImgFunc) { // both input arrays must be of the same length if (sigmas.length != period.length) throw new IllegalArgumentException( "Params length mismatch: The number " + "of sigmas must match the dimensionality of the period vector."); // sigmas must be reasonable // NB: sigma==0 indicates no filtering along its axis for (final double s : sigmas) if (s < 0.0) throw new IllegalArgumentException( "Input sigma must be non-negative."); // the size and center of the output image final long[] dims = new long[sigmas.length]; final long[] centre = new long[sigmas.length]; for (int d = 0; d < dims.length; d++) { dims[d] = Math.max(3, 2 * (int) (3 * sigmas[d] + 0.5) + 1); centre[d] = (int) (dims[d] / 2); } // prepare the output image final RandomAccessibleInterval out = (RandomAccessibleInterval) createImgFunc.apply(new FinalInterval(dims), (T) typeVar); // calculate the squared length of the period vector double perLengthSq = 0.0; for (int d = 0; d < period.length; d++) perLengthSq += period[d] * period[d]; // fill the output image final Cursor cursor = Views.iterable(out).cursor(); while (cursor.hasNext()) { cursor.fwd(); // obtain the current coordinate (use dims to store it) cursor.localize(dims); // to calculate current Gabor kernel value double GaussExp = 0.0; double freqPart = 0.0; // but produce no Gaussian envelope for axes for which sigma==0 double blockingExp = 1.0; // no blocking by default // sweep over all dimensions to determine voxel value for (int d = 0; d < dims.length; d++) { final double dx = dims[d] - centre[d]; if (sigmas[d] > 0.) // normal case: accumulate exp's argument GaussExp += dx * dx / (sigmas[d] * sigmas[d]); else if (dx != 0.) // sigmas[d] == 0 && we are off the blocking axis blockingExp = 0.f; // accumulate scalar product... freqPart += dx * period[d]; } GaussExp = Math.exp(-0.5 * GaussExp) * blockingExp; freqPart = 6.28318 * freqPart / perLengthSq; // compose the real value finally cursor.get().setReal(GaussExp * Math.cos(freqPart)); // are we a truly complex image? // TODO NB: RealTypes have (empty) setImaginary method to be used too // TODO NB: is it faster to determine type or calculate the math (possible // uselessly) if (!(typeVar instanceof RealType)) // set then the imaginary part of the kernel too cursor.get().setImaginary(GaussExp * Math.sin(freqPart)); } return out; } }





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