Issue No. 01 - January (1986 vol. 8)
Jean Babaud , Schlumberger Computer Aided Systems, Palo Alto, CA 94304.
Andrew P. Witkin , Schlumberger Computer Aided Systems, Palo Alto, CA 94304.
Michel Baudin , Schlumberger Computer Aided Systems, Palo Alto, CA 94304.
Richard O. Duda , Syntelligence. Sunnyvale, CA.
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, respectively, increase and decrease when the bandwidth of the filter is increased. The consequences of this result are explored when the signal¿or its image by a linear differential operator¿is analyzed in terms of zero-crossing contours of the transform in scale-space.
Jean Babaud, Andrew P. Witkin, Michel Baudin, Richard O. Duda, "Uniqueness of the Gaussian Kernel for Scale-Space Filtering", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 8, no. , pp. 26-33, January 1986, doi:10.1109/TPAMI.1986.4767749