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
% 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));
% 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