GaussianMatrix[r] gives a matrix that corresponds to a Gaussian kernel of radius r. GaussianMatrix[{r, \[Sigma]}] gives a matrix corresponding to a Gaussian kernel with ...

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...

Mathematica provides built-in functions for generating standard structure matrices and convolution kernels in any number of dimensions, in a form that can be used directly in ...

Mathematica's highly optimized filtering capabilities provide a wide range of linear and modern nonlinear local filters, as well as a variety of nonlocal filters, which can ...

ImageConvolve[image, ker] gives the convolution of image with kernel ker.

ListDeconvolve[ker, list] gives a deconvolution of list using kernel ker.

ImageDeconvolve[image, ker] gives a deconvolution of image using kernel ker.

Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...

ImageCorrelate[image, ker] gives the correlation of image with kernel ker.ImageCorrelate[image, ker, f] computes a generalized correlation in which the function f is used in ...

Mathematica not only includes highly optimized implementations of standard image processing filters, but also uses its general symbolic architecture to allow arbitrarily ...