Scale-Space Properties of the Multiscale Morphological Dilation-Erosion

@article{Jackway1996ScaleSpacePO,
  title={Scale-Space Properties of the Multiscale Morphological Dilation-Erosion},
  author={Paul T. Jackway and Mohamed Deriche},
  journal={IEEE Trans. Pattern Anal. Mach. Intell.},
  year={1996},
  volume={18},
  pages={38-51}
}
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… 

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