Functional optimization properties of median filtering

Author

Qiu, Guoping

Author_Institution

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

Volume

1

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

64

Lastpage

65

Abstract

In this letter, we use a new approach for studying the properties of median filtering. Specifically, using threshold decomposition, it is shown that median filtering operation minimizes a two-term cost function of the output state of the median filter. The first term of the cost function measures the smoothness between the median filter output and its neighbor points within the operation window, and the second term measures the discrepancy between the filter output and its original signal. The results from this study have provided us with a new tool to analyze and understand some of the properties of the median filtering operation, including weighted median filtering.<>

Keywords

binary sequences; digital filters; filtering and prediction theory; minimisation; signal processing; binary sequence; functional optimization properties; median filter; operation window; signal processing; smoothness; threshold decomposition; two-term cost function minimisation; weighted median filtering; Binary sequences; Cost function; Filtering; Filters; Mathematics; Signal processing;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.295334

Filename

295334