Integral based Curvature Estimators in Digital Geometry

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.

Publication
17th International Conference on Discrete Geometry for Computer Imagery (DGCI 2013)
@inproceedings{dcoeurjo_DGCI13,
      author = {David Coeurjolly and Jacques-Olivier Lachaud and Jérémy Levallois},
      booktitle = {17th International Conference on Discrete Geometry
for Computer Imagery (DGCI 2013)},
      editor = {R. Gonzalez-Diaz, M.J. Jimenez, B. Medrano},
      language = {en},
      month = {March},
      pages = {215-227},
      publisher = {Springer Verlag},
      series = {Lecture Notes in Computer Science},
      title = {Integral based Curvature Estimators in Digital Geometry},
      url = {http://liris.cnrs.fr/publis/?id=5866},
      year = {2013}
}