How can I manually convolve the laplacian kernel?
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I've been reading that the Laplacian operator is the sum of two "second order derivatives", Ixx and Iyy.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/190162/image.png)
But I've also seen several places where the Laplacian kernel is listed as one of following:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/190163/image.png)
Because convolution is associative, I've been testing out creating my own Laplacian kernel via the following:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/190164/image.png)
laplaceKern = conv2(xkern, xkern) + conv2(ykern, ykern)
But this produces a kernel as so:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/190165/image.png)
I can't seem to arrive at either of the aforementioned accepted laplacian kernels via convolution. What am I missing?
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