Generalization Of The Radix Method Of Finding The Median To Weighted Median, Order Statistic And Weighted Order Statistic Filters

Olli Yli-Harja; Jaakko Astola; Yrjo Nuevo

doi:10.1117/12.968939

25 October 1988 Generalization Of The Radix Method Of Finding The Median To Weighted Median, Order Statistic And Weighted Order Statistic Filters

Olli Yli-Harja, Jaakko Astola, Yrjo Nuevo

Author Affiliations +

Proceedings Volume 1001, Visual Communications and Image Processing '88: Third in a Series; (1988) https://doi.org/10.1117/12.968939
Event: Visual Communications and Image Processing III, 1988, Cambridge, MA, United States

Abstract

This paper describes the generalization of the Radix method of finding the median to Weighted Median (WM), Order Statistic (OS) and Weighted Order Statistic (WOS) filters. The method requires that input signal is discretized to 2M possible magnitude levels. Supposing that N is the filter window width the time complexities for different one-dimensional filters are O(M) for Standard Median (SM) filters, 0(NM) for WM filters, O(M) for OS filters and 0(NM) for WOS filters. Comparison of time complexities with other methods is performed.

Citation Download Citation

Olli Yli-Harja, Jaakko Astola, and Yrjo Nuevo "Generalization Of The Radix Method Of Finding The Median To Weighted Median, Order Statistic And Weighted Order Statistic Filters", Proc. SPIE 1001, Visual Communications and Image Processing '88: Third in a Series, (25 October 1988); https://doi.org/10.1117/12.968939

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