Morphological pattern-spectra-based Tau-opening optimization

Edward R. Dougherty; Robert M. Haralick; Yidong Chen; Bo Li; Carsten Agerskov; Ulrik Jacobi; Poul Henrik Sloth

doi:10.1117/12.50386

1 November 1991 Morphological pattern-spectra-based Tau-opening optimization

Edward R. Dougherty, Robert M. Haralick, Yidong Chen, Bo Li, Carsten Agerskov, Ulrik Jacobi, Poul Henrik Sloth

Proceedings Volume 1606, Visual Communications and Image Processing '91: Image Processing; (1991) https://doi.org/10.1117/12.50386
Event: Visual Communications, '91, 1991, Boston, MA, United States

Abstract

Morphological tau-openings are binary filters that are translation invariant, increasing, antiextensive, and idempotent. The Matheron representation for tau-opening filters show that they are always given by unions of elementary openings. Historically tau-openings have been employed to restore binary images corrupted by union noise. This paper investigates optimal restoration for the union noise model based upon the individual granulometric pattern spectra of the image and noise. It does so for a class of random-grain image and noise models.

Citation Download Citation

Edward R. Dougherty, Robert M. Haralick, Yidong Chen, Bo Li, Carsten Agerskov, Ulrik Jacobi, and Poul Henrik Sloth "Morphological pattern-spectra-based Tau-opening optimization", Proc. SPIE 1606, Visual Communications and Image Processing '91: Image Processing, (1 November 1991); https://doi.org/10.1117/12.50386

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