Title :
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
fDate :
11/1/1995 12:00:00 AM
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;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
