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Re:Image Kernels explained visually by amelius on Monday August 08, 2016 @06:35PM (#12251294)
Also an interesting question: given a kernel K, how do you derive the inverse of that kernel?
Re:Image Kernels explained visually by dpark on Monday August 08, 2016 @11:15PM (#12252361)
Would that not just be the inverse matrix?

http://mathworld.wolfram.com/MatrixInverse.html

Re:Image Kernels explained visually by tel on Tuesday August 09, 2016 @01:40AM (#12252823)
Nope, and in general it doesn't exist. That said, there are techniques for "deconvolution" which partially reverse (or in some, special cases completely reverse) a kernel convolution.
Re:Image Kernels explained visually by dpark on Tuesday August 09, 2016 @10:46AM (#12254813)
Ah, thanks. I guess that makes sense since this isn't straightforward matrix multiplication.
Re:Image Kernels explained visually by amelius on Tuesday August 09, 2016 @11:15AM (#12255114)
I would suggest to try a 1-dimensional example first. In that case, the kernel does not look like a matrix, but more like a vector.