A well-balanced flow equation for noise removal and edge detection

Author

Barcelos, Celia Aparecida Zorzo ; Boaventura, Maurílio ; Silva, Evanivaldo Castro, Jr.

Author_Institution

Fed. Univ. of Uberlandia, Brazil

Volume

12

Issue

7

fYear

2003

fDate

7/1/2003 12:00:00 AM

Firstpage

751

Lastpage

763

Abstract

An anisotropic nonlinear diffusion equation for image restoration is presented. The model has two terms: the diffusion term and the forcing term. The balance between these terms is made in a selective way, in which boundary points and interior points of the objects that make up the image are treated differently. The optimal smoothing time concept, which allows for finding the ideal stop time for the evolution of the partial differential equation is also proposed. Numerical results show the proposed model´s high performance.

Keywords

edge detection; image denoising; image restoration; image segmentation; interference suppression; nonlinear equations; partial differential equations; random noise; anisotropic diffusion equation; diffusion term; edge detection; flow equation; forcing term; ideal stop time; image restoration; image segmentation; noise removal; nonlinear equation; object boundary points; object interior points; partial differential equation; Computed tomography; Differential equations; Filters; Image edge detection; Image reconstruction; Magnetic resonance imaging; Nonlinear equations; Optical imaging; Partial differential equations; X-ray imaging;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2003.814242

Filename

1212649