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Axiomatic scale-space formulations

For a reader not familiar with the scale-space literature, the task of designing a multi-scale signal representation may at first glance be regarded as somewhat arbitrary. Why make use of Gaussian smoothing, and why not just carry out any type of ``smoothing operation''? To illuminate the special properties that have lead computer vision researchers to consider linear scale-space representation as a natural model for an uncommitted visual front-end, we shall in this section give a very brief review of a number of the major scale-space formulations. By necessity, this presentation will be somewhat technical, and the hasty reader may without loss of continuity proceed to section 4. More extensive reviews can be found in [, , , ].

Tony Lindeberg
Tue Jul 1 14:57:47 MET DST 1997