Computational representation of increasing lattice-valued image operators

Divyendu Sinha; Edward R. Dougherty

doi:10.1117/12.216368

11 August 1995 Computational representation of increasing lattice-valued image operators

Divyendu Sinha, Edward R. Dougherty

Proceedings Volume 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing; (1995) https://doi.org/10.1117/12.216368
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Computational mathematical morphology provides zeta-function-based representation for windowed, translation-invariant image operators taking their values in a complete lattice. Image operators are induced via windowing by product lattice operators and, in both the increasing and nonincreasing cases, these reduce to classical logical representation for binary operators. The present paper presents the image-operator theory for increasing filters. In particular, it treats gray-to-binary and gray-to-gray morphological operators, as well as representation of lattice-valued stack filters via threshold decomposition.

Citation Download Citation

Divyendu Sinha and Edward R. Dougherty "Computational representation of increasing lattice-valued image operators", Proc. SPIE 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, (11 August 1995); https://doi.org/10.1117/12.216368

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