A clustering approach to vector mathematical morphology

The processing and analysis of vector valued signals has become in the last decade a major field of interest. The direct extension of classical processing methods for the scalar signals is not always possible. The mathematical morphology viewed as a processing technique for gray images is such that it cannot be extended easily. In this paper we present an approach to the vector mathematical morphology based on clustering techniques in the signal sample space.

[1]  Vasile Buzuloiu,et al.  Morphological like operators for color images , 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).

[2]  Ioannis Pitas,et al.  Nonlinear Digital Filters - Principles and Applications , 1990, The Springer International Series in Engineering and Computer Science.

[3]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[4]  William Equitz,et al.  A new vector quantization clustering algorithm , 1989, IEEE Trans. Acoust. Speech Signal Process..

[5]  Jaakko Astola,et al.  Nonlinear multivariate image filtering techniques , 1995, IEEE Trans. Image Process..

[6]  B. R. Hunt,et al.  Karhunen-Loeve multispectral image restoration, part I: Theory , 1984 .

[7]  Panos E. Trahanias,et al.  Vector directional filters-a new class of multichannel image processing filters , 1993, IEEE Trans. Image Process..

[8]  J. Astola,et al.  Vector median filters , 1990, Proc. IEEE.

[9]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[10]  V. Barnett The Ordering of Multivariate Data , 1976 .