Fast implementation of the basis matrix and block basis matrix representation for morphological filters

Aldo W. Morales; Sung-Jea Ko; Kyung-Hoon Lee

doi:10.1117/12.205224

28 March 1995 Fast implementation of the basis matrix and block basis matrix representation for morphological filters

Aldo W. Morales, Sung-Jea Ko, Kyung-Hoon Lee

Proceedings Volume 2424, Nonlinear Image Processing VI; (1995) https://doi.org/10.1117/12.205224
Event: IS&T/SPIE's Symposium on Electronic Imaging: Science and Technology, 1995, San Jose, CA, United States

Abstract

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.

Citation Download Citation

Aldo W. Morales, Sung-Jea Ko, and Kyung-Hoon Lee "Fast implementation of the basis matrix and block basis matrix representation for morphological filters", Proc. SPIE 2424, Nonlinear Image Processing VI, (28 March 1995); https://doi.org/10.1117/12.205224

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