Curvature and torsion estimators for 3D curves

Thanh Phuong Nguyen (1) , Isabelle Debled-Rennesson (1)

1 ADAGIO - Applying Discrete Algorithms to Genomics and Imagery

We propose a new torsion estimator for spatial curves based on results of discrete geometry that works in O(nlog^2n) time. We also present a curvature estimator for spatial curves. Our methods use the 3D extension of the 2D blurred segment notion. These estimators can naturally work with disconnected curves.

Mots clés: curvature; torsion

Domaines: Mathématique discrète [cs.DM]

Thanh Phuong Nguyen, Isabelle Debled-Rennesson. Curvature and torsion estimators for 3D curves. 4th International Symposium on Advances in Visual Computing - ISVC 2008, Dec 2008, Las Vegas, United States. pp.688-699, ⟨10.1007/978-3-540-89639-5_66⟩. ⟨hal-00345708⟩