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ICCV
1995
IEEE

Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation

13 years 7 months ago
Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation
Estimating principal curvatures and principal directions of a surface from a polyhedral approximation with a large number of small faces, such as those produced by iso-surface construction algorithms, has become a basic step in many computer vision algorithms. Particularly in those targeted at medical applications. In this paper we describe a method to estimate the tensor of curvature of a surface at the vertices of a polyhedral approximation. Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain ¿ ¢ ¿ symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature. The resulting algorithm is linear, both in time and in space, as a function of the number of vertices and faces of the polyhedral surface.
Gabriel Taubin
Added 26 Aug 2010
Updated 26 Aug 2010
Type Conference
Year 1995
Where ICCV
Authors Gabriel Taubin
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