Estimating curvatures and their derivatives on triangle meshes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

308 Scopus citations

Abstract

The computation of curvature and other differential properties of surfaces is essential for many techniques in analysis and rendering. We present a finite-differences approach for estimating curvatures on irregular triangle meshes that may be thought of as an extension of a common method for estimating per-vertex normals. The technique is efficient in space and time, and results in significantly fewer outlier estimates while more broadly offering accuracy comparable to existing methods. It generalizes naturally to computing derivatives of curvature and higher-order surface differentials.

Original languageEnglish (US)
Title of host publicationProceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission, 3DPVT 2004
EditorsY. Aloimonos, G. Taubin
Pages486-493
Number of pages8
DOIs
StatePublished - Dec 1 2004
EventProceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004 - Thessaloniki, Greece
Duration: Sep 6 2004Sep 9 2004

Publication series

NameProceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004

Other

OtherProceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004
CountryGreece
CityThessaloniki
Period9/6/049/9/04

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Rusinkiewicz, S. M. (2004). Estimating curvatures and their derivatives on triangle meshes. In Y. Aloimonos, & G. Taubin (Eds.), Proceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission, 3DPVT 2004 (pp. 486-493). (Proceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004). https://doi.org/10.1109/TDPVT.2004.1335277