Uniqueness of the Gaussian Kernel for Scale-Space Filtering

Abstract

Scale-space filtering constructs hierarchic symbolic signal descriptions by transforming the signal into a continuum of versions of the original signal convolved with a kernal containing a scale or bandwidth parameter. It is shown that the Gaussian probability density function is the only kernel in a broad class for which first-order maxima and minima… (More)
DOI: 10.1109/TPAMI.1986.4767749

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