Enhancement of planar shape through optimization of functionals for curves

Author

Pauwels, E.J. ; Fiddelaers, P. ; Van Gool, L.J.

Author_Institution

ESAT, Katholieke Univ., Leuven, Belgium

Volume

17

Issue

11

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

1101

Lastpage

1105

Abstract

We show how optimization of the Nordstrom and Mumford-Shah functionals can be used to develop a type of curve-evolution that is able to preserve salient features of closed curves while simultaneously suppressing noise and irrelevant details. The idea is to characterize a curve by means of its angle-function and apply the appropriate dynamics to this representation. Upon convergence, the resulting form of the contour is reconstructed from the representation

Keywords

computational geometry; convergence of numerical methods; image enhancement; image reconstruction; image representation; optimisation; Mumford-Shah functionals; Nordstrom-Wen diffusion; angle-function; contour reconstruction; convergence; curve-evolution; dynamics; geometry driven diffusion; image representation; noise suppression; optimization; planar shape enhancement; salient features; Application software; Computer vision; Convergence; Crystallization; Geometry; Image recognition; Image reconstruction; Noise reduction; Noise shaping; Shape;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.473238

Filename

473238