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1   /**
2    * Copyright (c) 2011, The University of Southampton and the individual contributors.
3    * All rights reserved.
4    *
5    * Redistribution and use in source and binary forms, with or without modification,
6    * are permitted provided that the following conditions are met:
7    *
8    *   * 	Redistributions of source code must retain the above copyright notice,
9    * 	this list of conditions and the following disclaimer.
10   *
11   *   *	Redistributions in binary form must reproduce the above copyright notice,
12   * 	this list of conditions and the following disclaimer in the documentation
13   * 	and/or other materials provided with the distribution.
14   *
15   *   *	Neither the name of the University of Southampton nor the names of its
16   * 	contributors may be used to endorse or promote products derived from this
17   * 	software without specific prior written permission.
18   *
19   * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
20   * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
21   * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
22   * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
23   * ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
24   * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
25   * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
26   * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
27   * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
28   * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29   */
30  package org.openimaj.image.processing.convolution;
31  
32  import static java.lang.Math.PI;
33  import static java.lang.Math.exp;
34  
35  import org.openimaj.image.FImage;
36  import org.openimaj.math.util.FloatArrayStatsUtils;
37  
38  /**
39   * 2D Laplacian of Gaussian filter
40   * 
41   * @author Jonathon Hare (jsh2@ecs.soton.ac.uk)
42   */
43  public class LaplacianOfGaussian2D extends FConvolution {
44  	/**
45  	 * Construct with given kernel size and variance.
46  	 * @param width kernel width
47  	 * @param height kernel height
48  	 * @param sigma variance
49  	 */
50  	public LaplacianOfGaussian2D(int width, int height, float sigma) {
51  		super(createKernelImage(width, height, sigma));
52  	}
53  	
54  	/**
55  	 * Construct with given kernel size and variance.
56  	 * @param size kernel width/height
57  	 * @param sigma variance
58  	 */
59  	public LaplacianOfGaussian2D(int size, float sigma) {
60  		super(createKernelImage(size, size, sigma));
61  	}
62  
63  	/**
64  	 * Create a kernel image with given kernel size and variance.
65  	 * @param size image height/width.
66  	 * @param sigma variance.
67  	 * @return new kernel image.
68  	 */
69  	public static FImage createKernelImage(int size, float sigma) {
70  		return createKernelImage(size, size, sigma);
71  	}
72  	
73  	/**
74  	 * Create a kernel image with given kernel size and variance.
75  	 * @param width image width.
76  	 * @param height image height.
77  	 * @param sigma variance.
78  	 * @return new kernel image.
79  	 */
80  	public static FImage createKernelImage(int width, int height, float sigma) {
81  		FImage f = new FImage(width, height);
82  		int hw = (width-1)/2;
83  		int hh = (height-1)/2;
84  		float sigmasq = sigma * sigma;
85  		float sigma4 = sigmasq*sigmasq;
86  		
87  		for (int y=-hh, j=0; y<hh; y++, j++) {
88  			for (int x=-hw, i=0; x<hw; x++, i++) {
89  				int radsqrd = x*x + y*y;
90  				f.pixels[j][i] = (float) (-1 / (PI*sigma4)*(1-radsqrd/(2*sigmasq))*exp(-radsqrd/(2*sigmasq)));	   
91  			}
92  		}
93  		return f.subtractInplace(FloatArrayStatsUtils.mean(f.pixels));
94  	}
95  }