Java实现离散Arnold变换（图像处理）

最新推荐文章于 2021-05-12 12:10:52 发布

原创最新推荐文章于 2021-05-12 12:10:52 发布 · 3.3k 阅读

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#图像处理 #java #image #file #string #n2

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本文介绍了一种基于Arnold变换的图像加密方法，通过特定的数学变换实现图像的安全传输。该方法适用于固定尺寸的图像，并可通过调整变换次数来改变加密强度。

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原始124×124pix

原图1次2次3次

15次

周期表：

N	2	3	4	5	6	7	8	9	10	11	12
周期	3	4	3	10	12	8	6	12	30	5	12
N	13	14	15	16	17	18	19	20	21	22	23
周期	14	24	20	12	18	12	9	30	8	15	24
N	25	50	60	100	120	125	128	256	480	512	1024
周期	50	150	60	150	60	250	96	192	120	384	768

package com.zeph.j2se.arnold;

import java.awt.image.BufferedImage;
import java.io.File;
import java.io.IOException;

import javax.imageio.ImageIO;

/**
 * Arnold's Cat Map(Arnold变换)
 * 
 * @author BenZeph
 * 
 */
public class Arnold {
	private File srcImageFile, desImageFile;
	private BufferedImage srcImage, desImage;
	private int[][] srcMatrix, desMatrix;
	private int N;// 图像的长度（宽度）
	private int time;// 周期

	/**
	 * Arnold's Cat Map(Arnold变换)
	 * 
	 * @param srcImageFile
	 * @param desImageFile
	 * @param time
	 *            周期
	 */
	public Arnold(File srcImageFile, File desImageFile, int time) {
		this.srcImageFile = srcImageFile;
		this.desImageFile = desImageFile;
		this.time = time;
	}

	/**
	 * 读取图像
	 * 
	 * @param imageFile
	 * @return
	 */
	public BufferedImage readImage(File imageFile) {
		BufferedImage image = null;
		try {
			image = ImageIO.read(imageFile);
		} catch (IOException e) {
			e.printStackTrace();
		}
		return image;
	}

	/**
	 * 获取图像RGB矩阵
	 * 
	 * @param image
	 * @return
	 */
	public int[][] getMatrixRGB(BufferedImage image) {
		int width = image.getWidth();
		int height = image.getHeight();
		int[][] imageMatrix = new int[height][width];
		for (int i = 0; i < height; i++) {
			for (int j = 0; j < width; j++) {
				imageMatrix[i][j] = image.getRGB(i, j);
			}
		}
		return imageMatrix;
	}

	/**
	 * 写入图像
	 * 
	 * @param filePath
	 */
	public void writeImage(File imageFile, BufferedImage image) {
		try {
			ImageIO.write(image, "jpg", imageFile);
		} catch (IOException e) {
			e.printStackTrace();
		}
	}

	/**
	 * Arnold变换初始化
	 * 
	 * @param image
	 * @return
	 */
	public boolean initArnold(BufferedImage image) {
		int width = image.getWidth();
		int height = image.getHeight();
		if (width != height) {
			return false;
		} else {
			N = width;
			srcMatrix = getMatrixRGB(image);
			desMatrix = new int[N][N];
			desImage = new BufferedImage(width, height, srcImage.getType());
			return true;
		}
	}

	/**
	 * Arnold变换
	 */
	public void arnoldTransform() {
		srcImage = readImage(srcImageFile);
		if (initArnold(srcImage)) {
			for (int n = 0; n < time; n++) {
				if (n != 0) {
					srcMatrix = desMatrix;
					desMatrix = new int[N][N];
				}
				for (int i = 0; i < N; i++) {
					for (int j = 0; j < N; j++) {
						desMatrix[(i + j) % N][(i + 2 * j) % N] = srcMatrix[i][j];
					}
				}
			}
			for (int i = 0; i < N; i++) {
				for (int j = 0; j < N; j++) {
					desImage.setRGB(i, j, desMatrix[i][j]);
				}
			}
		}
		writeImage(desImageFile, desImage);
	}

	public static void main(String[] args) {
		File srcImageFile = new File("D://lena124.jpg");
		File desImageFile = new File("D://15.jpg");
		Arnold arnold = new Arnold(srcImageFile, desImageFile, 15);
		arnold.arnoldTransform();
	}
}