SCALE-SPACE PROPERTIES OF THE MULTISCALE MORPHOLOGICAL DILATION EROSION

A multiscale morphological dilation-erosion smoothing operation and it s associated scale-space expansion for multidimensional signals are pr oposed. Properties of this smoothing operation are developed and, in p articular a scale-space monotonic property for signal extrema is demon strated. Scale-space fingerprints from this approach have advantages o ver Gaussian scale-space fingerprints in that they are defined for neg ative values of the scale parameter; have monotonic properties in two and higher dimensions, do not cause features to be shifted by the smoo thing, and allow efficient computation. The application of reduced mul tiscale dilation-erosion fingerprints to the surface matching of terra in is demonstrated.