Geometric modeling and representation based on sweep mathematical morphology

Frank Y. Shih, Vijayalakshmi Gaddipati

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We propose a framework for geometric modeling and representation by sweep mathematical morphology, which is based on set-theoretic concept together with geometric sweep. We use a new class of morphological operations that allows one to select varying shapes and orientations of structuring elements during the sweeping process. The sweep dilation/erosion provides a natural representation of sweep motion in manufacturing processes, and the sweep opening/closing provides variant degrees of smoothing in image filtering and edge linking. A set of grammatical rules that govern the generation of objects belonging to the same group can be defined. Earley's parser serves in the screening process to determine whether a pattern is a part of the language. Sweep mathematical morphology is demonstrated as an intuitive and efficient tool for geometric modeling and representation.

Original languageEnglish (US)
Pages (from-to)213-231
Number of pages19
JournalInformation sciences
Volume171
Issue number1-3
DOIs
StatePublished - Mar 4 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

Keywords

  • Geometric modeling
  • Mathematical morphology
  • Object representation
  • Pattern classification

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