On smoothness measures of active contours and surfaces

Author

Delingette, Herve

Author_Institution

Inst. National de Recherche d´´Informatique et d´´Automatique (INRIA), Sophia Antipolis, France

fYear

2001

fDate

2001

Firstpage

43

Lastpage

50

Abstract

We propose to study different smoothness measures of planar contours or surfaces. We first define a smoothness measure as a functional that follows three types of invariance, invariance to changes of contour parameterization, invariance to contour rotations and translations and invariance to the contour sizes. We then introduce different smoothness measures that can be classified into local or global functionals but that can also be of geometric or algebraic nature. We finally discuss their implementation by observing the advantages and disadvantages of explicit and implicit contour representations

Keywords

computer vision; edge detection; functional equations; image representation; smoothing methods; active contours; algebraic smoothness measures; computer vision; contour parameterization invariance; contour rotation invariance; contour size invariance; explicit contour representations; geometric smoothness measures; global functionals; implicit contour representations; local functionals; planar surfaces; translation invariance; Active contours; Calculus; Computer vision; Heart; Integral equations; Rotation measurement; Shape; Size measurement; Smoothing methods; Surface reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

Variational and Level Set Methods in Computer Vision, 2001. Proceedings. IEEE Workshop on

Conference_Location

Vancouver, BC

Print_ISBN

0-7695-1278-X

Type

conf

DOI

10.1109/VLSM.2001.938880

Filename

938880