Title: Sectional discrete curvature estimation based on the parabola
Authors: Hyoungseok, Kim
Hosook, Kim
Citation: WSCG '2006: Posters proceedings: The 14-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2006 in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, January 31 – February 2, 2006, p. 23-24.
Issue Date: 2006
Publisher: Václav Skala - UNION Agency
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/WSCG2006/Papers_2006/Poster/!WSCG2006_Poster_Proceedings_Final.pdf
ISBN: 80-86943-04-6
Keywords: diskrétní zakřivení;parabolická interpolace
Keywords in different language: discrete curvature;parabolic interpolation
Abstract: The local geometric properties such as curvatures and normal vectors play important roles in analyzing the local shape of objects. The result of the geometric operations such as mesh simplification and mesh smoothing is dependent on how to compute the curvature of vertices, because there is no its exact definition in meshes. In this paper, we indicate the fatal error in computing discrete sectional-curvatures by the previous discrete curvature estimations. Moreover, we present a new discrete sectional-curvature estimation to overcome the error, which is based on the parabolic interpolation and the geometric properties of Bezier curve.
Rights: © Václav Skala - UNION Agency
Appears in Collections:WSCG '2006: Posters proceedings

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