Integral based Curvature Estimators in Digital Geometry

D. Coeurjolly, Jacques-Olivier Lachaud, J. Levallois
January, 2013
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Abstract

In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field is an essential step. In this paper, we investigate a new class of estimators on digital shape boundaries based on Integral Invariants. More precisely, we provide both proofs of multigrid convergence of curvature estimators and a complete experimental evaluation of their performances.

Type
Conference paper
Publication
Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI 2013), Sevilla, Spain, pp 215-227, volume 7749 of Lecture Notes in Computer Science, 2013
digital geometry volume estimation moment estimation curvature estimation multigrid convergence integral invariants
Jacques-Olivier Lachaud
Jacques-Olivier Lachaud
Professor of Computer Science

My research interests include digital geometry, geometry processing, image analysis, variational models and discrete calculus.