Next: Non-creation of local extrema Up: Axiomatic scale-space formulations Previous: Original formulation.
Witkins observation shows that Gaussian convolution
satisfies certain sufficiency requirements for being a smoothing
operation. The first proof of the necessity of Gaussian
smoothing for generating a scale-space representation was given by
Koenderink , who also gave a formal extension of the scale-space
theory to higher dimensions.
He introduced the concept of causality, which means that new
Tue Jul 1 14:57:47 MET DST 1997