The side-information median filter for sequence reconstruction

Author

Blommer, Michael A. ; Wakefield, Gregory H.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

43

Issue

5

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1033

Lastpage

1044

Abstract

The side-information median filter (SIMF) is introduced as an extension of the standard median filter (MF) for sequence reconstruction purposes. The SIMF uses the filter input sequence index information for determining the filter output sequence index of an equivalent MF output. The set of SIMF roots is shown to be larger than that of MF roots, including many bounded variations which would be distorted by the MF. Several deterministic and statistical properties are derived for the SIMF, and the SIMF is shown to preserve details in many more sequences than the MF while still maintaining noise impulse-rejection properties similar to those of the MF. Experimental results are presented from sequence reconstruction tasks involving the SIMF, the MF, and other sequence reconstruction filters. Results for both 1-D and 2-D sequences are reported

Keywords

filtering theory; image reconstruction; image sequences; median filters; noise; sequences; statistical analysis; 1-D sequences; 2-D sequences; deterministic properties; experimental results; filter output sequence index; image sequences; input sequence index information; noise impulse-rejection; sequence reconstruction filters; side-information median filter; statistical properties; Helium; Image reconstruction; Information filtering; Information filters; Nonlinear filters; Smoothing methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.382391

Filename

382391