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//Ex5_3
// Illustration of Order Statistic filter
//To impliment the Following Order Statistic Restoration filter
// (I)Median (II)MAX (III)MIN (IV)Mid Point (V)Alpha trimmed.
// 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]=restoration_filter(v,type,m,n,Q,d)
if argn(2) ==2 then
m=7;n=7;Q=1.5;d=10;
elseif argn(2)==5 then
Q=parameter;d=parameter;
elseif argn(2)==4 then
Q=1.5;d=2;
else
disp('wrong number of inputs');
end
select type
case'median'then
f=MedianFilter(v,[m n]);
case'MIN'then
size1=m;
[nr,nc]=size(v);
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)=v(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)) ;
y=gsort(t);
temp2(i-floor(size1/2),j-floor(size1/2))=min(y);
end
end
f=mat2gray(temp2);
case'MAX'then
size1=m;
[nr,nc]=size(v);
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)=v(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)) ;
y=gsort(t);
temp2(i-floor(size1/2),j-floor(size1/2))=max(y);
end
end
f=mat2gray(temp2);
case'Mid_Point'then
size1=m;
[nr,nc]=size(v);
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)=v(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)) ;
y=gsort(t);
temp2(i-floor(size1/2),j-floor(size1/2))=0.5*(min(y)+max(y));
end
end
f=mat2gray(temp2);
else
disp('Unknownfiltertype.')
end
endfunction
function [f]=alphatrim(g,m,n,d)//alphatrim()is used to filter an image using alpha-trimmed mean filter
size1=m;
[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))
y=gsort(t);
a=y(:)
b=a';
t1=b(1+d/2:$-d/2);
temp2(i-floor(size1/2),j-floor(size1/2))=mean(t1);
end
end
f=mat2gray(temp2)
endfunction
///////////////////////////////////// Main Programm ////////////////////
gray=imread("Ex5_3.tif");
//gray=rgb2gray(a);
//gray=im2double(gray);
figure,ShowImage(gray,'Gray Image');
title('Original Image');
[M,N]=size(gray);
/////////////////////////////////// Median Filter ////////////////////
v=imnoise(gray,'salt & pepper',0.1);
figure,ShowImage(v,'Noisy Image');
title('Original Image with Salt & Pepper Noise');
//Filtering the corrupted image with median filter
h=restoration_filter(v,'median',3,3);
figure,ShowImage(h,'Recovered Image');
title('Recovered Image with Median Filter');
//Filtering the corrupted image with median filter
h1=restoration_filter(h,'median',3,3);
figure,ShowImage(h1,'Recovered Image');
title('Recovered Image with Median Filter');
//Filtering the corrupted image with median filter
h2=restoration_filter(h1,'median',3,3);
figure,ShowImage(h2,'Recovered Image');
title('Recovered Image with Median Filter');
/////////////////////////////////// MAX Filter ////////////////////
temp(1:M,1:N)=0.5;
r3=imnoise(temp,'salt & pepper',0.1); // Generate salt & pepper Noise
gray_noise_pepper=gray; // Add Pepper Noise Only
[r c]=find(r3==0);
for i=1:length(r)
gray_noise_pepper(r(i),c(i)) = 0;
end
figure,ShowImage(gray_noise_pepper,'Noisy Image');
title('Noisy Image with Pepper Noise');
//Filtering the Salt Noise corrupted image with MAX filter
h=restoration_filter(gray_noise_pepper,'MAX',3,3);
figure,ShowImage(h,'Recovered Image');
title('Recovered Image with MAX Filter');
//////////////////////////////////// MIN 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('Noisy Image');
//Filtering the Salt Noise corrupted image with MIN filter
h=restoration_filter(gray_noise_salt,'MIN',3,3);
figure,ShowImage(h,'Recovered Image');
title('Recovered Image with MIN Filter');
///////////////////////////////////// Mid-Point Filter ////////////////////
//v=imnoise(gray,'gaussian',0,0.02);
//figure,ShowImage(v,'Noisy Image');
//title('Image with Gaussian Noise');
////Filtering the Salt Noise corrupted image with Mid-Point filter
//h=restoration_filter(v,'Mid_Point',3,3);
//figure,ShowImage(h,'Recovered Image');
//title('Recovered Image with Mid_Point Filter');
///////////////////////////////// Alpha Trimmed Filter ////////////////////
v=imnoise(gray,'gaussian',0,0.02);
v=imnoise(v,'salt & pepper',0.05);
figure,ShowImage(v,'Noisy Image');
title('Image with Gaussian and Salt&Pepper Noise');
m=5;n=5;d=5;
[f]=arithmetic_mean(v,m,n); // Filtering with Arithmetical mean
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Arithmetical Mean Filter');
[f]=geometric_mean1(v,m,n); // Filtering with Geometric mean
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Geometric Mean Filter');
//Filtering the corrupted image with median filter
h=restoration_filter(v,'median',5,5); // Filtering with median Filtering
figure,ShowImage(h,'Recovered Image');
title('Recovered Image with Median Filter');
f=alphatrim(v,m,n,d); // Filtering with alphatrim Filtering
figure,ShowImage(f,'Recovered Image');
title('Recovered Image with Alpha Trimmed Filter');
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