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  Normal Based Estimation of the Curvature Tensor for Triangular Meshes

Theisel, H., Rössl, C., Zayer, R., & Seidel, H.-P. (2004). Normal Based Estimation of the Curvature Tensor for Triangular Meshes. In 12th Pacific Conference on Computer Graphics and Applications, PG 2004 (pp. 288-297). Los Alamitos, USA: IEEE.

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 Creators:
Theisel, Holger1, Author           
Rössl, Christian1, Author           
Zayer, Rhaleb1, Author           
Seidel, Hans-Peter1, Author           
Cohen-Or, Daniel, Editor
Ko, Hyeong-Seok, Editor
Terzopoulos, Demetri, Editor
Warren, Joe, Editor
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1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: We introduce a new technique for estimating the curvature tensor of a triangular mesh. The input of the algorithm is only a single triangle equipped with its (exact or estimated) vertex normals. This way we get a smooth function of the curvature tensor inside each triangle of the mesh. We show that the error of the new method is comparable with the error of a cubic fitting approach if the incorporated normals are estimated. If the exact normals of the underlying surface are available at the vertices, the error drops signifi- cantly. We demonstrate the applicability of the new estimation at a rather complex data set.

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Language(s): eng - English
 Dates: 2005-04-272004
 Publication Status: Issued
 Pages: -
 Publishing info: Los Alamitos, USA : IEEE
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 231930
Other: Local-ID: C125675300671F7B-32AFDE8594758F3EC1256EBF0032FD01-Theisel:PG:2004
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Title: Untitled Event
Place of Event: Seoul, South Korea
Start-/End Date: 2004-10-06

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Title: 12th Pacific Conference on Computer Graphics and Applications, PG 2004
Source Genre: Proceedings
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Publ. Info: Los Alamitos, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 288 - 297 Identifier: ISBN: 0-7695-2234-3