Diffuse Curvature Computation for Surface Recognition

Diffuse approximation is a local approximation scheme based on a moving least square fit. Derivatives are estimated by a pseudo-derivation operator which (under certain conditions) converges towards the function derivatives. For this reason, we use it to compute curvature over triangular surfaces as...

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Bibliographic Details
Main Authors: Savignat, J M, Stab, O, Rassineux, A, Villon, P
Format: Report
Language:English
Subjects:
APPROXIMATION(MATHEMATICS)
COMPONENT REPORT
COMPUTATIONS
CURVATURE
DERIVATIVES(MATHEMATICS)
FOREIGN REPORTS
FRANCE
LEAST SQUARES METHOD
Numerical Mathematics
PROCEEDINGS
SURFACE ANALYSIS
Theoretical Mathematics
TOPOLOGY
TRIANGLES
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Summary:Diffuse approximation is a local approximation scheme based on a moving least square fit. Derivatives are estimated by a pseudo-derivation operator which (under certain conditions) converges towards the function derivatives. For this reason, we use it to compute curvature over triangular surfaces as an extention of the fitting algorithm. We also take triangle normals into account, which leads to a high quality curvature estimator. We develop a surface recognition algorithm for triangular surfaces based on this curvature computation on the one hand, and on the topology described by the mesh on the other hand. Its application allows us to treat successfully some real CAD models, implying that diffuse approximation is a powerful tool for surface modelling, and for derivative-based computations. Presented at Intl. Conference on Curves and Surfaces (4th). Held in St. Malo, France, 1-7 Jul 1999. Publ. in Proceedings, v1, Curve and Surface Design, p363-370. This article is from ADA399461 International Conference on Curves and Surfaces (4th), Saint-Malo, France, 1-7 July 1999. Proceedings, Volume 1. Curve and Surface Design