Multiresolution Tensor of Curvature with {C}ohen-{S}teiner's Normal Cycle

Bruno Levy. ( 2003 )
in: Proc. $23^{rd}$ Gocad Meeting, Nancy

Abstract

Estimating the principal curvatures of a triangulated surface is a challenging task. Since a triangulated surface does not have the required order of continuity, several approximation schemes have been defined. The method proposed by Cohen-Steiner and Morvan integrates the variations of the normal vector over a neighborhood. The radius of this neighborhood can be defined by the user. This provides a highly flexible estimator, where the user can select at which level of detail the surface is considered. In addition, the estimator is independant of the structure of the mesh. We present in this paper a new algorithm which makes it possible to use this additional flexibility. To compute the neighborhoods, our algorithm uses mesh-propagation driven by a list of active edges.

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    BibTeX Reference

    @inproceedings{Levy03GM,
     abstract = { Estimating the principal curvatures of a triangulated surface is a challenging task. Since a triangulated
    surface does not have the required order of continuity, several approximation schemes have
    been defined. The method proposed by Cohen-Steiner and Morvan integrates the variations of the
    normal vector over a neighborhood. The radius of this neighborhood can be defined by the user. This
    provides a highly flexible estimator, where the user can select at which level of detail the surface
    is considered. In addition, the estimator is independant of the structure of the mesh. We present in
    this paper a new algorithm which makes it possible to use this additional flexibility. To compute the
    neighborhoods, our algorithm uses mesh-propagation driven by a list of active edges. },
     author = { Levy, Bruno },
     booktitle = { Proc. $23^{rd}$ Gocad Meeting, Nancy },
     title = { Multiresolution Tensor of Curvature with {C}ohen-{S}teiner's Normal Cycle },
     year = { 2003 }
    }