Faster Convolution with Separability Property in Multi-dimensional Signals

Topic: Digital image processing. 

Consider a 2D signal (or impulse response of 2D filter) with rect-shaped.

 This 2D rect signal is separable. It can be represented as dot-product of two independent 1D signals.
As well an impulse signal is also separable.

Graph Complex Set In Python with mpmath and matplotlib

In this case I use Python(x,y). This package comes with many standard plugins, such as sympy (in which we use its mpmath), numpy, scipy, matplotlib, and so on. http://code.google.com/p/pythonxy/wiki/StandardPlugins