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 } }