compdiff3.m

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%Program : Non Linear Complex Diffusion
%Author : Jeny Rajan
%The following program will produce scale space image based on the concept of 
%non linear complex diffusion.
%Application area : Image Denoising.
%Ref : Guy Gilboa, Nir Sochen and Yehoshua Y Zeevi, "Image Enhancement and Denoising by Complex Diffusion Processes", 
%IEEE Trans. On Pattern Analysis and Machine Imtelligence, Vol. 26, No. 8, Aug. 2004
% *************************************************
% * method :  It=del(c(Im(I)del I)                *
% *           c(Im(I)) =         e^i*theta        *
% *                      ----------------------   *
% *                      1+ [Im(I)/(k*theta)]^2   *
% *************************************************

% Usage
% compdiff1(I,T)
% I - Input image, in case of denoising, noisy image
% T - Threshold, an integer >= 1

function [ncdif] = compdiff3(I,T)
I = double(I);
[x y z]=size(I);
im=imag(I);
theta=3*3.14/30;
dt = 0.1;
It1  = I;     
It2 = I;        
k=1.5;
t=1;
for t=1:T
  [Ix, Iy] = gradient(It1);  
  tmp1=cos(theta)+sqrt(-1)*sin(theta);
  tmp2=(imag(It1)./(k*theta)).^2;
  g=tmp1./(1+tmp2);
  [div1, div2] = gradient( g .* Ix);
  [div3, div4] = gradient( g .* Iy);
  div = div1 + div4;    
  It2 = It1 + dt .* div;
  It1 = It2;
end;
im1=uint8(real(It1)); 
im2=uint8(imag(It1));
figure,imshow(im1,[]);
figure,imshow(im2,[]);
ncdif = uint8(real(It1));