An improved recursive median filtering scheme for image processing

Author

Qiu, Guoping

Author_Institution

Sch. of Comput. & Math., Derby Univ., UK

Volume

5

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

646

Lastpage

648

Abstract

In a recent publication, it was shown that median filtering is an optimization process in which a two-term cost function is minimized. Based on this functional optimization property of the median filtering process, a new approach for designing the recursive median filter for image processing applications is introduced in this paper. We prove that the new approach is guaranteed to converge to root within a finite number of iterations. The new method is applied to process a real image corrupted by pseudorandom impulsive noise, and the results show that the new scheme provides improved mean square error (RISE) performance over the standard recursive median filters

Keywords

convergence of numerical methods; image processing; interference (signal); iterative methods; median filters; minimisation; random noise; recursive filters; convergence; image processing; iterations; mean square error performance; optimization process; pseudorandom impulsive noise; recursive median filtering scheme; two-term cost function; Cost function; Design optimization; Digital filters; Filtering; Image converters; Image processing; Mean square error methods; Nonlinear filters; Particle measurements; Signal processing;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.491340

Filename

491340