1.Laplacian/Laplacian of Gaussian1 (LoG)
As Laplace operator may detect edges as well as noise (isolated, out-of-range), it may be desirable to smooth the image first by a convolution with a Gaussian kernel of width
to suppress the noise before using Laplace for edge detection:
The first equal sign is due to the fact that
So we can obtain the Laplacian of Gaussian first
and then convolve it with the input image. To do so, first consider
and
Note that for......
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