Morphological pattern-spectra-based Tau-opening optimization

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

doi:10.1117/12.50386

Morphological pattern-spectra-based Tau-opening optimization

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

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.

Original language	English (US)
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Publisher	Publ by Int Soc for Optical Engineering
Pages	141-152
Number of pages	12
Edition	pt 1
ISBN (Print)	0819407437, 9780819407436
DOIs	https://doi.org/10.1117/12.50386
State	Published - 1991
Externally published	Yes
Event	Visual Communications and Image Processing '91: Image Processing Part 1 (of 2) - Boston, MA, USA Duration: Nov 11 1991 → Nov 13 1991

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Number	pt 1
Volume	1606
ISSN (Print)	0277-786X

Other

Other	Visual Communications and Image Processing '91: Image Processing Part 1 (of 2)
City	Boston, MA, USA
Period	11/11/91 → 11/13/91

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.50386

Cite this

Dougherty, E. R., Haralick, R. M., Chen, Y., Li, B., Agerskov, C., Jacobi, U., & Sloth, P. H. (1991). Morphological pattern-spectra-based Tau-opening optimization. In Proceedings of SPIE - The International Society for Optical Engineering (pt 1 ed., pp. 141-152). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1606, No. pt 1). Publ by Int Soc for Optical Engineering. https://doi.org/10.1117/12.50386

Morphological pattern-spectra-based Tau-opening optimization. / Dougherty, Edward R.; Haralick, Robert M.; Chen, Yidong et al.
Proceedings of SPIE - The International Society for Optical Engineering. pt 1. ed. Publ by Int Soc for Optical Engineering, 1991. p. 141-152 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1606, No. pt 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Dougherty, ER, Haralick, RM, Chen, Y, Li, B, Agerskov, C, Jacobi, U & Sloth, PH 1991, Morphological pattern-spectra-based Tau-opening optimization. in Proceedings of SPIE - The International Society for Optical Engineering. pt 1 edn, Proceedings of SPIE - The International Society for Optical Engineering, no. pt 1, vol. 1606, Publ by Int Soc for Optical Engineering, pp. 141-152, Visual Communications and Image Processing '91: Image Processing Part 1 (of 2), Boston, MA, USA, 11/11/91. https://doi.org/10.1117/12.50386

Dougherty ER, Haralick RM, Chen Y, Li B, Agerskov C, Jacobi U et al. Morphological pattern-spectra-based Tau-opening optimization. In Proceedings of SPIE - The International Society for Optical Engineering. pt 1 ed. Publ by Int Soc for Optical Engineering. 1991. p. 141-152. (Proceedings of SPIE - The International Society for Optical Engineering; pt 1). doi: 10.1117/12.50386

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Morphological pattern-spectra-based Tau-opening optimization

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