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 (Pottmann et al., 2007) [39]. More precisely, we provide both proofs of multigrid convergence of principal curvature estimators and a complete experimental evaluation of their performances.
@article{dcoeurjo_Levallois_CVIU14,
author = {David Coeurjolly and Jacques-Olivier Lachaud and Jérémy Levallois},
journal = {Computer Vision and Image Understanding},
language = {en},
month = {June},
number = {1},
pages = {27-41},
publisher = {Elsevier},
title = {Multigrid Convergent Principal Curvature Estimators in Digital Geometry},
url = {http://liris.cnrs.fr/publis/?id=6625},
volume = {129},
year = {2014}
}