Mariusz Jankowski
University of Southern Maine
mjkcc@usm.maine.edu
www.usm.maine.edu/~mjkcc

Version 4 of Mathematica includes a number of enhancements especially relevant to the signal/image processing community. The introduction of an efficient internal representation for machine-precision numerical data, addition of import/export capabilities covering most signal and image interchange formats, and most importantly, the addition of a fast convolution operator have finally made it possible to use Mathematica as an effective platform for signal and image processing. In this article we take a close look at convolution and present a number of image processing operations that have a convolution-like implementation. This includes not only the better-known linear filters but also binary and grayscale morphological operators.