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Copy pathCuttedCornersFastFourierTransformation.m
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CuttedCornersFastFourierTransformation.m
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%% Czyszczenie
clear all;
clc;
%% Wczytanie obrazu
subplot(3,3,1)
A = imread('coins.png');
%A = rgb2gray(A);
%A = A(:,:,1);
imshow(A);
title('Oryginalny Obraz')
%% Szybka transformata
AA = A;
Transformata = fft2(AA);
%% Wyznaczanie naroznikow do wyzerowania
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.025);
Y = int16(Y);
X = X - (X*0.025);
X = -X;
X = int16(X);
%% Wypelnianie zerami naroznikow - Gora
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
%% Odwrotna transformata
subplot(3,3,2)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-2.5% / Y-2.5%')
%% 3/3/3
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.05);
Y = int16(Y);
X = X - (X*0.05);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,3)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-5%,Y-5%')
%% 3/3/4
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.10);
Y = int16(Y);
X = X - (X*0.10);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,4)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-10%,Y-10%')
%% 3/3/5
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.15);
Y = int16(Y);
X = X - (X*0.15);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,5)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-15% / Y-15%')
%% 3/3/6
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.20);
Y = int16(Y);
X = X - (X*0.20);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,6)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-20% / Y-20%')
%% 3/3/7
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.30);
Y = int16(Y);
X = X - (X*0.30);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,7)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-30% / Y-30%')
%% 3/3/8
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.40);
Y = int16(Y);
X = X - (X*0.40);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,8)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-40% / Y-40%')
%% 3/3/9
AA = A;
Transformata = fft2(AA);
Y = A(1,:);
X = A(:,1);
Y = length(Y);
X = length(X);
Y = Y - (Y*0.50);
Y = int16(Y);
X = X - (X*0.50);
X = -X;
X = int16(X);
B = tril(Transformata,Y); % Y macierzy
C = fliplr(B);
D = tril(C,Y); % Y marcierzy
E = triu(D,X); % X macierzy
F = fliplr(E);
G = triu(F,X); % X macierzy
subplot(3,3,9)
Odwrotna = ifft2(G);
imshow(Odwrotna);
title('X-50% / Y-50%')