3 Dimensioal Arnold Cat Map

Hi..

I m going to use 3 D Arnold Cat Map For image Scrambling in my project.. The matrix for transformation is as follows

Here x' & y' are the locations of the pixel after mapping, x & y are the locations of the pixel before mapping, z is the intensity/color code of image before mapping, z' is the intensity/color code of image after mapping,

z'=(c*x+d*y+z) mod M. I want matlab code for this problem... I can't get proper shuffling... Pls help me.. Thank u..

[Geoff Hayes]

Kalai - what have you tried so far? Please describe the problems you are having with the shuffling.

[Kalai S]

Hi Sir,

This function is used to shuffle the image

function X = three_d_catmap(Y)

p = size(Y,1);  % get the number of pixels on each side
X = zeros(size(Y)); % make space for X (all zeros to start)
for i = 1:p         % loop through all the pixels
   for j = 1:p        
       newi = mod(((i-1) + (j-1)),p) + 1;        % get new i coord (a+b) mod p
       newj = mod(((i-1) + 2*(j-1)),p) + 1;   % get new j coord (a+2b) mod p       
       X(newi,newj,:) = mod((4*(i-1)*1*(j-1)+Y(i,j,:)),p) + 1;              
   end
end
X = uint8(X);   % this may have to be adjusted depending on the type of image

This script is used to shuffle the images for 65 iterations...

X = imread('lena.jpg');
for i = 1:65
   X = three_d_catmap(X);
   figure(1);image(X);title(i);
   refresh;
   pause(0.0001);
end

I cannot get proper shuffling like 2 D ACM..

If there is an error in my code,please notify it ..

Thank U Sir.

[Rajasekar SRC MCA]

how to encrypt in Arnold Cat map with 3d image coding