【图像加密】基于双随机相位结构结合菲涅尔变换实现无透镜光学加密解密附Matlab代码

算法如诗2024-06-23 15:56

以下是基于双随机相位结构结合菲涅尔变换实现无透镜光学图像加密和解密的示例Matlab代码：

图像加密：

matlab

function encrypted_image = encryptImage(image)

% 转换为灰度图像

if size(image, 3) == 3

image = rgb2gray(image);

end

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% 双随机相位结构生成
[M, N] = size(image);
random_phase1 = exp(1i * 2 * pi * rand(M, N));
random_phase2 = exp(1i * 2 * pi * rand(M, N));

% 菲涅尔变换
spectrum = fftshift(fft2(image));
encrypted_spectrum = spectrum .* random_phase1 .* random_phase2;

% 逆菲涅尔变换
encrypted_image = ifft2(fftshift(encrypted_spectrum));
encrypted_image = abs(encrypted_image);

end

图像解密：

matlab

复制

function decrypted_image = decryptImage(encrypted_image)

% 菲涅尔变换

spectrum = fftshift(fft2(encrypted_image));

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% 提取双随机相位结构
random_phase1 = angle(spectrum);
random_phase2 = angle(fftshift(ifft2(spectrum)));

% 解密
decrypted_spectrum = abs(spectrum) .* exp(1i * random_phase1) ./ exp(1i * random_phase2);

% 逆菲涅尔变换
decrypted_image = ifft2(fftshift(decrypted_spectrum));
decrypted_image = abs(decrypted_image);

end