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<p><b>Abstract</b>—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.</p>
Scale-space filtering, multiscale morphology, signal analysis, monotonic property, scale-space fingerprints.

M. Deriche and P. T. Jackway, "Scale-Space Properties of the Multiscale Morphological Dilation-Erosion," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 18, no. , pp. 38-51, 1996.
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