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

Kyung Hoon Lee; Byung Tae Choi; Aldo Morales; Sung Jea Ko

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

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

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to conference › Paper › peer-review

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 language	English (US)
Pages	231-234
Number of pages	4
State	Published - Dec 1 1996
Event	Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems - Seoul, South Korea Duration: Nov 18 1996 → Nov 21 1996

Other

Other	Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems
City	Seoul, South Korea
Period	11/18/96 → 11/21/96

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Cite this

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title = "Basis matrix representation of morphological filters with N-dimensional structuring elements",

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 Aldo Morales and Ko, \{Sung Jea\}",

year = "1996",

month = dec,

day = "1",

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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TY - CONF

T1 - Basis matrix representation of morphological filters with N-dimensional structuring elements

AU - Lee, Kyung Hoon

AU - Choi, Byung Tae

AU - Morales, Aldo

AU - Ko, Sung Jea

PY - 1996/12/1

Y1 - 1996/12/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0030414517

UR - https://www.scopus.com/pages/publications/0030414517#tab=citedBy

M3 - Paper

AN - SCOPUS:0030414517

SP - 231

EP - 234

T2 - Proceedings of the 1996 IEEE Asia Pacific Conference on Circuits and Systems

Y2 - 18 November 1996 through 21 November 1996

ER -

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

Abstract

Other

All Science Journal Classification (ASJC) codes

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