Invariant characterizations and pseudocharacterizations of finite multidimensional sets based on mathematical morphology

Divyendu Sinha; Hanjin Lee

doi:10.1117/12.58370

1 April 1992 Invariant characterizations and pseudocharacterizations of finite multidimensional sets based on mathematical morphology

Divyendu Sinha, Hanjin Lee

Author Affiliations +

Proceedings Volume 1658, Nonlinear Image Processing III; (1992) https://doi.org/10.1117/12.58370
Event: SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States

Abstract

This paper outlines a methodology for characterizing finite subsets of (eta) d where (eta) is the set of integers and integer d >= 1. The schemes are based on the lattice-based mathematical morphology and on the notion of a pseudo-complement. Three different schemes for multidimensional objects are presented, two of which provide only pseudo- characterizations, while the third scheme provides a complete characterization of objects. The performance of the proposed pseudo-characterizations has been shown to be superior to the similar existing algorithms. The proposed methods lend themselves to efficient implementation on parallel machines.

Citation Download Citation

Divyendu Sinha and Hanjin Lee "Invariant characterizations and pseudocharacterizations of finite multidimensional sets based on mathematical morphology", Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); https://doi.org/10.1117/12.58370

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