2D Convolution - Sobel Filter. What is wrong?

Question

Nisreen Sulayman 2019-9-11

1
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/479875-2d-convolution-sobel-filter-what-is-wrong

评论： Nisreen Sulayman 2019-9-20

img = imread('Davis_Hall.jpg');
% 'Davis_Hall.jpg':color image
img =double(rgb2gray(img));
Gx = double([-1 0 1;-2 0 2;-1 0 1]);
Gx=rot90(Gx,2);
Gy = double([-1 -2 -1; 0 0 0; 1 2 1]);
Gy=rot90(Gy,2);
I= img;
[r,c]=size(I);  
Fx = zeros(r,c);
Fy = zeros(r,c);
I = padarray(I,[1 1]);
for i=2:r-1
for j=2:c-1
Fx(i,j)=sum(sum(Gx.*I(i-1:i+1,j-1:j+1)));
Fy(i,j)=sum(sum(Gy.*I(i-1:i+1,j-1:j+1)));
end
end
img=uint8(img);
FMag=sqrt(Fx.^2+Fy.^2);
figure(1)
imshow(img);
title('Original Image');
figure(2)
imshow((abs(Fx))./max(max(Fx)));
title('Gradient in X direction');
figure(3)
imshow(abs(Fy)./max(max(Fy)));
title('Gradient in Y direction');
figure(4)
imshow(FMag./max(max(FMag)));
title('Gradient Magnitude');
% IT IS  Not Allowed to use: imfilter,  conv2,  filter2, conv 

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Answer 1

David Wilson 2019-9-12

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/479875-2d-convolution-sobel-filter-what-is-wrong#answer_391515

在 MATLAB Online 中打开

Here's my (old) code for a sobel filter:

img = imread('Davis_Hall.jpg');
% 'Davis_Hall.jpg':color image
X =double(rgb2gray(img));
%% Start 
Bx = [-1,0,1;-2,0,2;-1,0,1]; % Sobel Gx kernel
By = Bx'; % gradient Gy
Yx = filter2(Bx,X); % convolve in 2d
Yy = filter2(By,X);
G = sqrt(Yy.^2 + Yx.^2); % Find magnitude
Gmin = min(min(G)); dx = max(max(G)) - Gmin; % find range
G = floor((G-Gmin)/dx*255); % normalise from 0 to 255
image(G); axis('image')
colormap gray

Gives the following:

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David Wilson 2019-9-12

Ah, then this is homework?

Nisreen Sulayman 2019-9-12

It is a graded excercise\online course.

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Answer 2

Nisreen Sulayman 2019-9-12

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/479875-2d-convolution-sobel-filter-what-is-wrong#answer_391517

Here is my results:

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Nisreen Sulayman 2019-9-13

编辑：Nisreen Sulayman 2019-9-13

Didn't work!!

Maybe there is something wrong related to the "greader"

We have a good results ... still didn't accept the answer!! (even with first code I have a good results!!)

OR THERE is that kind of silly bug which I couldn't spot.

Nisreen Sulayman 2019-9-20

在 MATLAB Online 中打开

How to normalize a convolved image?

I have got these messages after running

%read the image
img = imread('Davis_Hall.jpg');
I =double(rgb2gray(img));
%Gx = double([-1 0 1;-2 0 2;-1 0 1]);
Gx=[-1 0 1;-2 0 2;-1 0 1];
Gx=rot90(Gx,2);
%Gy = double([-1 -2 -1; 0 0 0; 1 2 1]);
Gy=[-1 -2 -1; 0 0 0;1 2 1];
Gy=rot90(Gy,2);
[r,c]=size(I);  
Fx = zeros(r,c);
Fy = zeros(r,c);
FMag=zeros(r,c);
I = padarray(I,[1 1],0,'both'); 
for i=2:r-1
    for j=2:c-1
        Fx(i,j)=sum(sum(Gx.*I(i-1:i+1,j-1:j+1)));
        Fy(i,j)=sum(sum(Gy.*I(i-1:i+1,j-1:j+1)));
        FMag(i,j)=sqrt(power(Fx(i,j),2)+power(Fy(i,j),2));
    end
end
Fx=Fx(2:r-1,2:c-1);
Fy=Fy(2:r-1,2:c-1);
FMag=FMag(2:r-1,2:c-1);
img=uint8(img);
figure(1)
imshow(img);
title('Original Image');
figure(2)
imshow((abs(Fx))./max(max(Fx)));
title('Gradient in X direction');
figure(3)
imshow(abs(Fy)./max(max(Fy)));
title('Gradient in Y direction');
figure(4)
imshow(FMag./max(max(FMag)));
title('Gradient Magnitude');