Estimating Curvatures and Their Derivatives on Triangle Meshes

  • Authors:
  • Szymon Rusinkiewicz

  • Affiliations:
  • Princeton University

  • Venue:
  • 3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
  • Year:
  • 2004

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Abstract

The computation of curvature and other differential properties of surfaces is essential formany 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.