Basis decomposition of morphological operations

Ron Jones; Imants Svalbe

doi:10.1109/ICPR.1992.201976

Basis decomposition of morphological operations

Ron Jones, Imants Svalbe

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

3 Citations (Scopus)

Abstract

The choice and detailed design of structuring elements plays a pivotal role in the morphologic processing of images. This paper promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics.

Original language	English
Title of host publication	IAPR 1992 - 11th IAPR International Conference on Pattern Recognition
Subtitle of host publication	Image, Speech, and Signal Analysis
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	264-267
Number of pages	4
Volume	3
ISBN (Electronic)	0818629207
DOIs	https://doi.org/10.1109/ICPR.1992.201976
Publication status	Published - 1 Jan 1992
Event	International Conference on Pattern Recognition 1992 - The Hague, Netherlands Duration: 30 Aug 1992 → 1 Sept 1992 Conference number: 11th https://ieeexplore.ieee.org/xpl/conhome/426/proceeding (Proceedings)

Conference

Conference	International Conference on Pattern Recognition 1992
Abbreviated title	IAPR 1992
Country/Territory	Netherlands
City	The Hague
Period	30/08/92 → 1/09/92
Internet address	https://ieeexplore.ieee.org/xpl/conhome/426/proceeding (Proceedings)

Access to Document

10.1109/ICPR.1992.201976

Cite this

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title = "Basis decomposition of morphological operations",

abstract = "The choice and detailed design of structuring elements plays a pivotal role in the morphologic processing of images. This paper promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics.",

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publisher = "IEEE, Institute of Electrical and Electronics Engineers",

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note = "International Conference on Pattern Recognition 1992, IAPR 1992 ; Conference date: 30-08-1992 Through 01-09-1992",

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Jones, R & Svalbe, I 1992, Basis decomposition of morphological operations. in IAPR 1992 - 11th IAPR International Conference on Pattern Recognition: Image, Speech, and Signal Analysis. vol. 3, 201976, IEEE, Institute of Electrical and Electronics Engineers, pp. 264-267, International Conference on Pattern Recognition 1992, The Hague, Netherlands, 30/08/92. https://doi.org/10.1109/ICPR.1992.201976

Basis decomposition of morphological operations. / Jones, Ron; Svalbe, Imants.
IAPR 1992 - 11th IAPR International Conference on Pattern Recognition: Image, Speech, and Signal Analysis. Vol. 3 IEEE, Institute of Electrical and Electronics Engineers, 1992. p. 264-267 201976.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

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N2 - The choice and detailed design of structuring elements plays a pivotal role in the morphologic processing of images. This paper promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics.

AB - The choice and detailed design of structuring elements plays a pivotal role in the morphologic processing of images. This paper promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics.

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DO - 10.1109/ICPR.1992.201976

M3 - Conference Paper

AN - SCOPUS:85013551405

VL - 3

SP - 264

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BT - IAPR 1992 - 11th IAPR International Conference on Pattern Recognition

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - International Conference on Pattern Recognition 1992

Y2 - 30 August 1992 through 1 September 1992

ER -

Basis decomposition of morphological operations

Abstract

Conference

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