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Scale-space properties of the multiscale morphological dilation-erosion

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2 Author(s)
Jackway, P.T. ; Dept. of Electr. & Comput. Eng., Queensland Univ., Brisbane, Qld., Australia ; Deriche, M.

A multiscale morphological dilation-erosion smoothing operation and its associated scale-space 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 dilation-erosion fingerprints to the surface matching of terrain is demonstrated

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:18 ,  Issue: 1 )