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Scale-space properties of the multiscale morphological dilation-erosion

  • University of Queensland

Research output: Contribution to journalArticlepeer-review

252 Scopus citations

Abstract

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 monotonie 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 monotonie 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.

Original languageEnglish
Pages (from-to)38-51
Number of pages14
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Volume18
Issue number1
DOIs
StatePublished - 1996
Externally publishedYes

Keywords

  • Scale-space filtering, multiscale morphology, signal analysis, monotonie property, scale-space fingerprints

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