Nonlinear image filtering with structural approach

Ruikang Yang; Moncef Gabbouj; Yrjo A. Neuvo

doi:10.1117/12.171092

23 March 1994 Nonlinear image filtering with structural approach

Ruikang Yang, Moncef Gabbouj, Yrjo A. Neuvo

Proceedings Volume 2182, Image and Video Processing II; (1994) https://doi.org/10.1117/12.171092
Event: IS&T/SPIE 1994 International Symposium on Electronic Imaging: Science and Technology, 1994, San Jose, CA, United States

Abstract

In this paper, we develop a theory to design weighted order statistic filters with structural approach and discuss their applications in image filtering. By introducing a set of parameters, called M_is, the statistical properties of weighted order statistic filters are analyzed. A theorem is presented to show that any symmetric weighted order statistic filter will drive the input to a root or oscillate in a cycle of period 2. This result was proven to hold only for some weighted order statistic filters. A condition is provided to guarantee the convergence of weighted order statistic filters.

Citation Download Citation

Ruikang Yang, Moncef Gabbouj, and Yrjo A. Neuvo "Nonlinear image filtering with structural approach", Proc. SPIE 2182, Image and Video Processing II, (23 March 1994); https://doi.org/10.1117/12.171092

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