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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;
}
}