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  Approximation and Visualization of Discrete Curvature on Triangulated Surfaces

Rössl, C., & Kobbelt, L. (1999). Approximation and Visualization of Discrete Curvature on Triangulated Surfaces. In B. Girod, H. Niemann, & H.-P. Seidel (Eds.), Proceedings of the 4th Conference on Vision, Modeling, and Visualization (VMV-99) (pp. 339-346). Sankt Augustin, Germany: infix.

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 Urheber:
Rössl, Christian1, Autor           
Kobbelt, Leif2, Autor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2Max Planck Society, ou_persistent13              

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 Zusammenfassung: Triangle meshes are a facile and effective representation for many kinds of surfaces. In order to rate the quality of a surface, the calculation of geometric curvatures as there are defined for smooth surfaces is useful and necessary for a variety of applications. We investigate an approach to locally approximate the first and second fundamental forms at every (inner) vertex of a triangle mesh. We use locally isometric divided difference operators, where we compare two variants of parameterizations (tangent plane and exponential map) by testing on elementary analytic surfaces. We further describe a technique for visualizing the resulting curvature data. A simple median filter is used to effectively filter noise from the input data. According to application dependent requirements a global or a per-vertex local color coding can be provided. The user may interactively modify the color transfer function, enabling him or her to visually evaluate the quality of triangulated surfaces.

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Sprache(n): eng - English
 Datum: 2010-03-121999
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: Sankt Augustin, Germany : infix
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 520116
Anderer: Local-ID: C125675300671F7B-4B20860705FC4393C1256895005832F7-Roessl1999_AVDCT
 Art des Abschluß: -

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Titel: Untitled Event
Veranstaltungsort: Erlangen, Germany
Start-/Enddatum: 1999

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Titel: Proceedings of the 4th Conference on Vision, Modeling, and Visualization (VMV-99)
Genre der Quelle: Konferenzband
 Urheber:
Girod, Bernd, Herausgeber
Niemann, Heinrich, Herausgeber
Seidel, Hans-Peter1, Herausgeber           
Affiliations:
1 Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047            
Ort, Verlag, Ausgabe: Sankt Augustin, Germany : infix
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 339 - 346 Identifikator: ISBN: 3-89601-015-8