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Scale-space properties of the multiscale morphological dilation-erosion


Author(s) : Mohamed Deriche Member Paul T. Jackway, 
Publisher : N/A
Publication Date : 1996
ISSN : N/A
Abstract : IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, VOL. XX, NO. Y 2 A multiscale morphological dilation-erosion smoothing operation and its associated scalespace expansion for multidimensional signals are proposed. Properties of this smoothing operation are developed and, in particular a scale-space monotonic property for signal extrema is demonstrated. Scale-space fingerprints from this approach have advantages over Gaussian scale-space fingerprints in that they: are defined for negative values of the scale parameter; have monotonic properties in two and higher dimensions; do not cause features to be shifted by the smoothing; and allow efficient computation. The application of reduced multiscale dilationerosion fingerprints to the surface matching of terrain is demonstrated.,