TY - JOUR
T1 - Basis matrix representation of morphological filters with N-dimensional structuring elements
AU - Choi, Byung Tae
AU - Lee, Kyung Hoon
AU - Ko, Sung Jea
AU - Morales, Aldo
PY - 1997/8
Y1 - 1997/8
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, these 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, these basis matrix representations are extended to the efficient implementation of open-closing (OC) and close-opening (CO) using the BBM.
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U2 - 10.1142/S0218126697000255
DO - 10.1142/S0218126697000255
M3 - Article
AN - SCOPUS:3042959726
SN - 0218-1266
VL - 7
SP - 345
EP - 352
JO - Journal of Circuits, Systems and Computers
JF - Journal of Circuits, Systems and Computers
IS - 4
ER -