Title :
A smoothing property of the median filter
Author :
Restrepo, Alfredo ; Chacon, Liliana
Author_Institution :
Dept. de Ingenieria Electr., Los Andes Univ., Bogota, Colombia
fDate :
6/1/1994 12:00:00 AM
Abstract :
The variation of a discrete signal is defined and used as a measure of roughness. It is shown that the median filter does not increase the variation of a signal, supporting the perception of the median filter as a smoother. Signals of both finite and infinite lengths are considered; for signals of finite length, nonpadding median filters are used
Keywords :
digital filters; filtering and prediction theory; discrete signal; finite length signal; infinite length signal; nonpadding median filters; roughness measure; signal variation; smoothing property; Filters; H infinity control; Image analysis; Image processing; Length measurement; Skeleton; Smoothing methods; Statistical analysis; Time series analysis; Zinc;
Journal_Title :
Signal Processing, IEEE Transactions on
