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How Sobel Operator works in edge function?

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C J
C J 2021 年 4 月 28 日
回答済み: Sarvesh Kale 2023 年 1 月 31 日
What does the edge function do when using the Sobel operator? How to automatically choosing a threshold? The edge is different from my own Sobel function.

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Sarvesh Kale
Sarvesh Kale 2023 年 1 月 31 日
Hi C J ,
The sobel operator is used in Image processing edge detection, it works in the following manner
1.) Compute gradient in X direction
This can be done by multiple methods, simplest is to use conv2 function, call the resultant image Gx
2.) Compute gradient in Y direction
This can be done by multiple methods, simplest is to use conv2 function, call the resultant image Gy
3.) Obtain magnitude of the resultant image
I = sqrt(Gx*Gx + Gy*Gy)
4.) Choose threshold based on application
the following lines of code does all the above steps
G = imread('cameraman.tif')
Gx = conv2(G , [1 0 -1;...
2 0 -2;...
1 0 -1]);
Gy = conv2(G , [1 2 1;...
0 0 0;...
-1 -2 -1]);
I = sqrt(Gx.*Gx + Gy.*Gy);
I_final = I > 150 % choose the thresold on your application need, experiment with different value to pick the best
imshow(255*I_final)
OR
you can use the inbuilt function in MATLAB that does the same functionality
I = imread('cameraman.tif');
I = edge(I, 'sobel') % there are also other operators like canny
imshow(I)

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