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//Ex5_2
// Illustration of Mean Filters
//To impliment the Following Mean Restoration filter
// (I)Arithmetic (II)Geometric (III)Harmonic (IV)Contra Harmonic
// Version : Scilab 5.4.1
// Operating System : Window-xp, Window-7
//Toolbox: Image Processing Design 8.3.1-1
//Toolbox: SIVP 0.5.3.1-2
//Reference book name : Digital Image Processing
//book author: Rafael C. Gonzalez and Richard E. Woods
clc;
close;
clear;
xdel(winsid())//to close all currently open figure(s).
function [f]=arithmetic_mean(v,m,n)
w=fspecial('average',m);
f=imfilter(v,w);
endfunction
function [f]=geometric_mean1(g,m,n);//gmean1() is used to filter an image using Geometric mean filter
size1=m;
q=m*n;
g=double(g);
[nr,nc]=size(g);
temp=zeros(nr+2*floor(size1/2),nc+2*floor(size1/2));
temp(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)=g(1:$,1:$)
temp=temp+1;
for i=ceil(size1/2):nr+ceil(size1/2)-1
for j=ceil(size1/2):nc+ceil(size1/2)-1
t=temp(i-floor(size1/2):1:i+floor(size1/2),j-floor(size1/2):1:j+floor(size1/2)) ;
temp2(i,j)=prod(t);
end
end
temp3=temp2.^(1/q);
nn=temp3(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)
f1=nn-1;
f=mat2gray(f1)
endfunction
function [f]=geometric_mean2(g,m,n);//gmean2() is used to filter an image using Geometric mean filter
size1=m;
q=m*n;
[nr,nc]=size(g);
temp=zeros(nr+2*floor(size1/2),nc+2*floor(size1/2));
temp(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)=g(1:$,1:$)
for i=ceil(size1/2):nr+ceil(size1/2)-1
for j=ceil(size1/2):nc+ceil(size1/2)-1
t=temp(i-floor(size1/2):1:i+floor(size1/2),j-floor(size1/2):1:j+floor(size1/2)) ;
temp2(i,j)=geomean(t);
end
end
nn=temp2(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)
f=mat2gray(nn)
endfunction
function [f]=Harmonic_mean(g,m,n) //harmean1() is used to filter an image using Harmonic mean filter.
size1=m;
d=m*n;
g=double(g);
[nr,nc]=size(g);
temp=zeros(nr+2*floor(size1/2),nc+2*floor(size1/2));
temp(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)=g(1:$,1:$);
for i=ceil(size1/2):nr+ceil(size1/2)-1
for j=ceil(size1/2):nc+ceil(size1/2)-1
t=temp(i-floor(size1/2):1:i+floor(size1/2),j-floor(size1/2):1:j+floor(size1/2)) ;
t1=ones(m,n)./(t+%eps);
t2=sum(t1);
temp2(i,j)=d/t2;
end
end
nn=temp2(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1);
f=mat2gray(nn);
endfunction
function [f]=Contra_Harmonic_mean(g,m,n,Q) //charmean1() is use to filter an image using Contra Harmonic mean filter
size1=m;
d=m*n;
g=double(g);
[nr,nc]=size(g);
temp=zeros(nr+2*floor(size1/2),nc+2*floor(size1/2));
temp(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)=g(1:$,1:$)
disp(Q)
for i=ceil(size1/2):nr+ceil(size1/2)-1
for j=ceil(size1/2):nc+ceil(size1/2)-1
t=temp(i-floor(size1/2):1:i+floor(size1/2),j-floor(size1/2):1:j+floor(size1/2)) ;
d1=(t+%eps).^Q;
n1=(t+%eps).^(Q+1);
d2=sum(d1);
n2=sum(n1);
temp2(i,j)=n2/(d2);
end
end
nn=temp2(ceil(size1/2):nr+ceil(size1/2)-1,ceil(size1/2):nc+ceil(size1/2)-1)
f=nn;
endfunction
///////////////////////////////////// Main Programm ////////////////////
gray=imread("Ex5_2.tif");
//gray=rgb2gray(a);
//gray=im2double(gray);
figure,ShowImage(gray,'Gray Image');
title('Original Image');
[M,N]=size(gray);
///////////////////////////////////// Arithmetical Mean Filter ////////////////////
v=imnoise(gray,'gaussian',0,0.02);
figure,ShowImage(v,'Noisy Image');
title('Image with Gaussian Noise');
m=3;n=3;
[f]=arithmetic_mean(v,m,n);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Arithmetical Mean Filter');
///////////////////////////////////// Geometric Mean Filter ////////////////////
v=imnoise(gray,'gaussian',0,0.02);
figure,ShowImage(v,'Noisy Image');
title('Image with Gaussian Noise');
m=3;n=3;
[f]=geometric_mean1(v,m,n);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Geometric Mean Filter');
/////////////////////////////////////// Geometric Mean Filter ////////////////////
//v=imnoise(gray,'gaussian',0,0.02);
//figure,ShowImage(v,'Noisy Image');
//title('Image with Gaussian Noise');
//m=3;n=3;
//[f]=geometric_mean2(v,m,n);
//figure,ShowImage(f,'Recovered Image');
//title('Recovered Image with Geometric Mean Filter');
/////////////////////////////////////// Harmonic Mean Filter ////////////////////
//temp(1:M,1:N)=0.5;
//r3=imnoise(temp,'salt & pepper',0.1); // Generate salt & pepper Noise
//gray_noise_salt=gray; // Add salt Noise Only
//[r c]=find(r3==1);
// for i=1:length(r)
// gray_noise_salt(r(i),c(i)) = 255;
// end
//figure,ShowImage(gray_noise_salt,'Noisy Image');
//title('Image with Salt Noise');
//m=3;n=3;
//[f]=Harmonic_mean(gray_noise_salt,m,n);
//figure,ShowImage(f,'Recovered Image');
//title('Recovered Image with Harmonic Mean Filter');
//
//////////////////////////////// Contra_Harmonic Mean Filter (Pepper) ////////////////////
temp(1:M,1:N)=0.5;
r3=imnoise(temp,'salt & pepper',0.05); //Generate salt & pepper Noise
gray_noise_pepper=gray; //Add pepper Noise Only
[r c]=find(r3==0); //Find pepper Noise Only
for i=1:length(r)
gray_noise_pepper(r(i),c(i)) = 0;
end
figure,ShowImage(gray_noise_pepper,'Noisy Image');
title('Image with pepper Noise');
m=3;n=3;Q=1.5;
[f]=Contra_Harmonic_mean(gray_noise_pepper,m,n,Q);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Contra Harmonic Mean Filter[ Q=1.5 ]');
/////////////////////////////////// Contra_Harmonic Mean Filter (Salt) ////////////////////
temp(1:M,1:N)=0.5;
r3=imnoise(temp,'salt & pepper',0.1); //Generate salt & pepper Noise
gray_noise_salt=gray; //Add salt Noise Only
[r c]=find(r3==1);
for i=1:length(r)
gray_noise_salt(r(i),c(i)) = 255;
end
figure,ShowImage(gray_noise_salt,'Noisy Image');
title('Image with Salt Noise');
m=3;n=3;Q=-1.5;
[f]=Contra_Harmonic_mean(gray_noise_salt,m,n,Q);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Contra Harmonic Mean Filter[ Q=-1.5 ]');
////////////////////////////// Contra_Harmonic Mean Filter (Pepper) ////////////////////
temp(1:M,1:N)=0.5;
r3=imnoise(temp,'salt & pepper',0.05); //Generate salt & pepper Noise
gray_noise_pepper=gray; // Add pepper Noise Only
[r c]=find(r3==0); //Find pepper Noise Only
for i=1:length(r)
gray_noise_pepper(r(i),c(i)) = 0;
end
figure,ShowImage(gray_noise_pepper,'Noisy Image');
title('Image with pepper Noise');
m=3;n=3;Q=-1.5;
[f]=Contra_Harmonic_mean(gray_noise_pepper,m,n,Q);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Contra Harmonic Mean Filter[ Q=-1.5 ]');
/////////////////////////////////// Contra_Harmonic Mean Filter (Salt) ////////////////////
temp(1:M,1:N)=0.5;
r3=imnoise(temp,'salt & pepper',0.1); //Generate salt & pepper Noise
gray_noise_salt=gray; //Add salt Noise Only
[r c]=find(r3==1);
for i=1:length(r)
gray_noise_salt(r(i),c(i)) = 255;
end
figure,ShowImage(gray_noise_salt,'Noisy Image');
title('Image with Salt Noise');
m=3;n=3;Q=1.5;
[f]=Contra_Harmonic_mean(gray_noise_salt,m,n,Q);
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Contra Harmonic Mean Filter[ Q=1.5 ]');
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