DocumentCode :
701194
Title :
Performance evaluation of Dα-filters
Author :
Tabiza, M. ; Bolon, Ph.
Author_Institution :
LAMII/CESALP, Université de Savoie B.P. 806 - F.74016 Annecy Cedex, France (CNRS G1047 Information-Signal-Image)
fYear :
1996
fDate :
10-13 Sept. 1996
Firstpage :
1
Lastpage :
4
Abstract :
We study the output variance of a class of nonlinear filters, called da-filters. In general, it is impossible to obtain an explicit expression of the output variance because of the implicit Input/Output relationship, except for α=1 (median filter), α=2 (mean filter) and α=∞ (midrange filter). In this paper, we develop a new approach to the computation of the filter output variance. It is based on a linearisation of the filter output about the order statistics expected values. This approximation is valid for α > 1. It allows optimal α-values to be computed. Experimental results are presented. They are compared to those of L-filters and with theoretical lower bounds (Bhattacharyya system of lower bounds).
Keywords :
Approximation methods; Exponential distribution; Filtering theory; Gaussian distribution; Logistics; Mathematical model; Noise; Image processing; M-filtering; noise distributions; optimal filtering; order statistics; theoretical bounds;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
European Signal Processing Conference, 1996. EUSIPCO 1996. 8th
Conference_Location :
Trieste, Italy
Print_ISBN :
978-888-6179-83-6
Type :
conf
Filename :
7082919
Link To Document :
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