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📄 compdiff1.m

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%Program : Linear Complex Diffusion
%Author : Jeny Rajan
%The following program will produce scale space image based on the concept of 
%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 : Ir=Cr*Ir''-Ci*Ii''
%          Ii=Ci*Ir''+Cr*Ii''
%          Ir - Real part of the image
%          Ii - Imaginary part of the image
%          '' - gradient(gradient()
%          Cr - cos(theta);
%          Ci- sin(theta)

% Usage
% compdiff1(I,T)
% I - Input image, in case of denoising, noisy image
% T - Threshold, an integer >= 1
function [cdif]=compdiff1(I,T) 
[x y z]=size(I);
I=double(I);
dt=0.1;
Ir=I;
It=zeros(x,y);
t=1;
for i=1:T
    [Irx,Iry]=gradient(Ir); 
    [Iix,Iiy]=gradient(It); 
    cr=cos(30*(3.14/180));
    ci=sin(30*(3.14/180));
    [divr1,divr2]=gradient(Irx);
    [divr3,divr4]=gradient(Iry);
    [divi1,divi2]=gradient(Iix);
    [divi3,divi4]=gradient(Iiy);
    divr=divr1+divr4;
    divi=divi1+divi4;
    Ir1=(cr.*divr)-(ci.*divi);
    It1=(ci.*divr)+(cr.*divi); 
    Ir=Ir+(dt.*Ir1);
    It=It+(dt.*It1);
end;
figure,imshow(uint8(Ir),[]);
figure,imshow(uint8(It),[]);
cdif=uint8(Ir);    

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