Looking for academic reference on Discrete Laplacian kernels
Posted: 2012-08-16T02:30:17-07:00
Greetings,
I found IM's information page on discrete Laplace operators ( http://www.imagemagick.org/Usage/convolve/#laplacian ) to be very helpful to some scientific computing I am doing. While I can find some academic discussions of discrete Laplacians, I have found only a couple of references that mention kernels at all, and none with the informative descriptions of the effects of the various kernels that you have on that page.
Can anyone recommend a book or other publication that goes into similar detail about the properties of the various discrete Laplacian kernels that might make a good academic reference? Thanks very much!
-Eric
I found IM's information page on discrete Laplace operators ( http://www.imagemagick.org/Usage/convolve/#laplacian ) to be very helpful to some scientific computing I am doing. While I can find some academic discussions of discrete Laplacians, I have found only a couple of references that mention kernels at all, and none with the informative descriptions of the effects of the various kernels that you have on that page.
Can anyone recommend a book or other publication that goes into similar detail about the properties of the various discrete Laplacian kernels that might make a good academic reference? Thanks very much!
-Eric