Basis matrix representation of morphological filters with N-dimensional structuring elements

Kyung Hoon Lee, Byung Tae Choi, Aldo W. Morales, Sung Jea Ko

Research output: Contribution to conferencePaper

Abstract

In this paper, we present a basis matrix representation of grayscale morphological filters in N-dimensions. A procedure is proposed to derive the basis matrix and the block basis matrix (BBM) from an N-dimensional grayscale structuring element (GSE). It is shown that both opening and closing with arbitrary N-dimensional GSE can be accomplished by a local matrix operation using the basis matrix. Furthermore, this basis matrix representations are extended to the efficient implementation of open-closing (OC) and close-opening (CO) using the BBM.

Original languageEnglish (US)
Pages231-234
Number of pages4
StatePublished - Dec 1 1996
EventProceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems - Seoul, South Korea
Duration: Nov 18 1996Nov 21 1996

Other

OtherProceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems
CitySeoul, South Korea
Period11/18/9611/21/96

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Lee, K. H., Choi, B. T., Morales, A. W., & Ko, S. J. (1996). Basis matrix representation of morphological filters with N-dimensional structuring elements. 231-234. Paper presented at Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems, Seoul, South Korea, .
Lee, Kyung Hoon ; Choi, Byung Tae ; Morales, Aldo W. ; Ko, Sung Jea. / Basis matrix representation of morphological filters with N-dimensional structuring elements. Paper presented at Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems, Seoul, South Korea, .4 p.
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abstract = "In this paper, we present a basis matrix representation of grayscale morphological filters in N-dimensions. A procedure is proposed to derive the basis matrix and the block basis matrix (BBM) from an N-dimensional grayscale structuring element (GSE). It is shown that both opening and closing with arbitrary N-dimensional GSE can be accomplished by a local matrix operation using the basis matrix. Furthermore, this basis matrix representations are extended to the efficient implementation of open-closing (OC) and close-opening (CO) using the BBM.",
author = "Lee, {Kyung Hoon} and Choi, {Byung Tae} and Morales, {Aldo W.} and Ko, {Sung Jea}",
year = "1996",
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language = "English (US)",
pages = "231--234",
note = "Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems ; Conference date: 18-11-1996 Through 21-11-1996",

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Lee, KH, Choi, BT, Morales, AW & Ko, SJ 1996, 'Basis matrix representation of morphological filters with N-dimensional structuring elements' Paper presented at Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems, Seoul, South Korea, 11/18/96 - 11/21/96, pp. 231-234.

Basis matrix representation of morphological filters with N-dimensional structuring elements. / Lee, Kyung Hoon; Choi, Byung Tae; Morales, Aldo W.; Ko, Sung Jea.

1996. 231-234 Paper presented at Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems, Seoul, South Korea, .

Research output: Contribution to conferencePaper

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AU - Morales, Aldo W.

AU - Ko, Sung Jea

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AB - In this paper, we present a basis matrix representation of grayscale morphological filters in N-dimensions. A procedure is proposed to derive the basis matrix and the block basis matrix (BBM) from an N-dimensional grayscale structuring element (GSE). It is shown that both opening and closing with arbitrary N-dimensional GSE can be accomplished by a local matrix operation using the basis matrix. Furthermore, this basis matrix representations are extended to the efficient implementation of open-closing (OC) and close-opening (CO) using the BBM.

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Lee KH, Choi BT, Morales AW, Ko SJ. Basis matrix representation of morphological filters with N-dimensional structuring elements. 1996. Paper presented at Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems, Seoul, South Korea, .