Generalized Perona-Malik equation for image restoration

Author

Wei, Guo W.

Author_Institution

Dept. of Comput. Sci., Nat. Univ. of Singapore, Singapore

Volume

6

Issue

7

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

165

Lastpage

167

Abstract

This article introduces generalizations of the Perona-Malik (1990) equation. An edge enhancing functional is proposed for direct edge enhancement. A number of super diffusion operators is introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping. Numerical integration is conducted by using a previously developed quasi-interpolating wavelet method. Computer experiments indicate that the present algorithm is very efficient for edge-detecting and noise-removing.

Keywords

edge detection; image enhancement; image restoration; integration; interpolation; mathematical operators; partial differential equations; smoothing methods; statistical analysis; wavelet transforms; computer experiments; edge enhancement; edge enhancing functional; edge-detection; generalized Perona-Malik equation; image restoration; noise-removal; numerical integration; quasi-interpolating wavelet method; robust edge-stopping; smoothing; statistical information; super diffusion operators; Anisotropic magnetoresistance; Image edge detection; Image enhancement; Image restoration; Image segmentation; Noise robustness; Nonlinear equations; Signal restoration; Smoothing methods;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.769359

Filename

769359