TY - GEN
T1 - Fast implementation of the basis matrix and block basis matrix representation for morphological filters
AU - Morales, Aldo W.
AU - Ko, Sung Jea
AU - Lee, Kyung Hoon
PY - 1995
Y1 - 1995
N2 - This paper presents a fast implementation method for grayscale function processing (FP) systems. The proposed method is based on the matrix representation of the FP system using the basis matrix (BM) and the block basis matrix (BBM). The computational efficiency derives from recursive algorithms based on some characteristics of the BM and BBM matrices. It is shown that, with the proposed scheme, both opening and closing can be determined in real time by 2N - 2 additions and 2N - 2 comparisons, and open-closing and close-opening by 4N - 4 additions and 4N - 4 comparisons, when the size of the GSE is equal to N.
AB - This paper presents a fast implementation method for grayscale function processing (FP) systems. The proposed method is based on the matrix representation of the FP system using the basis matrix (BM) and the block basis matrix (BBM). The computational efficiency derives from recursive algorithms based on some characteristics of the BM and BBM matrices. It is shown that, with the proposed scheme, both opening and closing can be determined in real time by 2N - 2 additions and 2N - 2 comparisons, and open-closing and close-opening by 4N - 4 additions and 4N - 4 comparisons, when the size of the GSE is equal to N.
UR - http://www.scopus.com/inward/record.url?scp=0029462937&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0029462937
SN - 0819417718
SN - 9780819417718
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 228
EP - 239
BT - Proceedings of SPIE - The International Society for Optical Engineering
A2 - Dougherty, Edward R.
A2 - Astola, Jaakko T.
A2 - Longbotham, Harold G.
A2 - Nasrabadi, Nasser M.
A2 - Katsaggelos, Aggelos K.
T2 - Nonlinear Image Processing VI
Y2 - 6 February 1995 through 9 February 1995
ER -