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[Rus04b]  Estimating Curvatures and Their Derivatives on Triangle Meshes

Rusinkiewicz:2004:ECT (In proceedings)
Author(s)Rusinkiewicz S.
Title« Estimating Curvatures and Their Derivatives on Triangle Meshes »
InProceedings of the 2[textsuperscript]nd International Symposium on 3D Data Processing, Visualization, and Transmission 2004 (3DPVT'04, September 06--09, 2004, Thessaloniki, Greece)
Page(s)486--493
Year2004
URLhttp://www.cs.princeton.edu/gfx/pubs/_2004_ECA/index.php

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.

BibTeX code
@inproceedings{Rusinkiewicz:2004:ECT,
  opteditor = {},
  optpostscript = {},
  optnote = {},
  optaddress = {},
  optorganization = {},
  author = {Szymon Rusinkiewicz},
  optkey = {},
  optannote = {},
  optseries = {},
  url = {http://www.cs.princeton.edu/gfx/pubs/_2004_ECA/index.php},
  localfile = {papers/Rusinkiewicz.2004.ECT.pdf},
  optpublisher = {},
  optisbn = {},
  optkeywords = {},
  doi = {http://dx.doi.org/10.1109/TDPVT.2004.1335277},
  optmonth = {},
  optciteseer = {},
  optcrossref = {},
  optwww = {},
  booktitle = {Proceedings of the 2\textsuperscript{nd} International Symposium
               on 3D Data Processing, Visualization, and Transmission 2004
               (3DPVT'04, September 06--09, 2004, Thessaloniki, Greece)},
  optvolume = {},
  optnumber = {},
  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.},
  title = {{E}stimating {C}urvatures and {T}heir {D}erivatives on {T}riangle
           {M}eshes},
  year = {2004},
  pages = {486--493},
}

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