When are two weighted-order statistic filters identical?

Jaakko T. Astola; Faouzi Alaya Cheikh; Moncef Gabbouj

doi:10.1117/12.172576

1 May 1994 When are two weighted-order statistic filters identical?

Jaakko T. Astola, Faouzi Alaya Cheikh, Moncef Gabbouj

Proceedings Volume 2180, Nonlinear Image Processing V; (1994) https://doi.org/10.1117/12.172576
Event: IS&T/SPIE 1994 International Symposium on Electronic Imaging: Science and Technology, 1994, San Jose, CA, United States

Abstract

There is a finite number of different weighted order statistic (WOS) filters of a fixed length N. However, even for relatively small values of N, one cannot immediately see if two given WOS filters are the same by simply looking at the weights and the thresholds. This problem is addressed in this paper. We define two WOS filters to be equivalent (the same) if they produce the same output for arbitrary inputs. We shall show that the solution requires the use of integer linear programming and next develop a hierarchical heuristical procedure which may provide a much quicker solution to the given problem. The hierarchy starts with simple checks and proceeds to more and more complicated tests. The procedure is exited as soon as a definite conclusion is reached.

Citation Download Citation

Jaakko T. Astola, Faouzi Alaya Cheikh, and Moncef Gabbouj "When are two weighted-order statistic filters identical?", Proc. SPIE 2180, Nonlinear Image Processing V, (1 May 1994); https://doi.org/10.1117/12.172576

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