Arnold
Arnold.m
function [img_new] = Arnold(a,b,h,w,n,img)
% h=64;
% w=64;img_new = zeros(h,w) ; %[h, w]=size(img)
% a = 5;
% b = 6;
% n = 16; %n为置乱轮数N = h;for i=1:nfor y=1:hfor x=1:wxx=mod((x-1)+b*(y-1),N)+1; %a,b可提前指定yy=mod(a*(x-1)+(a*b+1)*(y-1),N)+1;img_new(yy,xx)=img(y,x);endendend
endreverse_Arnold.m
function [img_new] = reverse_Arnold(a,b,h,w,n,img)img_new = zeros(h,w) ; %[h, w]=size(img)N = h;for i=1:nfor y=1:hfor x=1:w xx=mod((a*b+1)*(x-1)-b*(y-1),N)+1;yy=mod(-a*(x-1)+(y-1),N)+1 ; img_new(yy,xx)=img(y,x); endendend
end
test_Arnold.m
%% 测试Arnold变换
A=imread('13.png');
h = size(A,1);
w = h;
a = 5;
b = 6;
n = 16; %n为置乱轮数embed_temp = Arnold(a,b,h,w,n,A); %Arnold 置乱% 反Arnold置乱
re = reverse_Arnold(a,b,h,w,n,embed_temp);figure,imshow(uint8(embed_temp));title('加密图像') %输出得到的加密图像
figure,imshow(uint8(re));title('解密图像') %输出得到的解密图像
Logistic
logistic.m
function [A1,sumA] = logistic(img)A=img; [M,N]=size(A);%原始图像A的尺寸一MxN A1 = zeros(M,N);u1=4;u2=4;x1(1)=0.2;x2(1)=0.7; sumA=sum(A(:)); k=mod(sumA,256)*1.0/255; x1(1)=(x1(1)+k)/2; x2(1)=(x2(1)+k)/2; y1(1)=(1/3.1415926)*asin(sqrt(x1(1))); y2(1)=(1/3.1415926)*asin(sqrt(x2(1))); for i=1:1:M*N-1 %产生2个Logistic混沌序列 x1(i+1)=u1*x1(i)*(1-x1(i)); x2(i+1)=u2*x2(i)*(1-x2(i)); endfor i=1:1:M*N %改造2个Logistic,得到两个y序列y1(i)=(1/3.1415926)*asin(sqrt(x1(i))); y2(i)=(1/3.1415926)*asin(sqrt(x2(i))); endn=1; for i=1:1:M %由yl和y2序列对原图像进行值替代加密 for j=1:1:N if mod(n,1)==0 k(n)=mod(floor(y1(n)*10^15),256); elsek(n)=mod(floor(y2(n)*10^15),256); endA1(i,j)=bitxor(A(i,j),k(n)); %得到加密像素 A1混沌加密图像n=n+1; endendA1 = uint8(A1);
end
relogistic.m
function [A2] = relogistic(A,sumA)[M,N]=size(A);%原始图像A的尺寸一MxN u1=4;u2=4;x1(1)=0.2;x2(1)=0.7;
% sumA=sum(sum(A)); % 这里需要用原始图像的像素值和
% sumA=19548964;k=mod(sumA,256)*1.0/255; x1(1)=(x1(1)+k)/2; x2(1)=(x2(1)+k)/2; y1(1)=(1/3.1415926)*asin(sqrt(x1(1))); y2(1)=(1/3.1415926)*asin(sqrt(x2(1))); for i=1:1:M*N-1 %产生2个Logistic混沌序列 x1(i+1)=u1*x1(i)*(1-x1(i)); x2(i+1)=u2*x2(i)*(1-x2(i)); endfor i=1:1:M*N %改造2个Logistic,得到两个y序列y1(i)=(1/3.1415926)*asin(sqrt(x1(i))); y2(i)=(1/3.1415926)*asin(sqrt(x2(i))); endn=1; for i=1:1:M for j=1:1:N if mod(n,1)==0 k(n)=mod(floor(y1(n)*10^15),256); elsek(n)=mod(floor(y2(n)*10^15),256); endA2(i,j)=bitxor(A(i,j),k(n)); %得到加密像素 n=n+1; endend
% figure,imshow(A2);title('解密图像') %输出得到的解密图像
end
test_logistic.m
%加密方法，混沌序列 https://www.cnblogs.com/fanglijiao/p/11206151.html
% 含有两个自变量的混沌系统是二维的% clc,clear all,
A=imread('13.png');
imshow(A); title('原图') [A1,sumA] = logistic(A);
figure,imshow(A1);title('混沌加密图像') %输出得到的加密图像 decry = relogistic(A1,sumA);
% % A2 = uint8(A2);% figure,imshow(encry);title('加密图像') %输出得到的加密图像
figure,imshow(decry);title('解密图像') %输出得到的解密图像
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