Diffuse Curvature Computation for Surface Recognition
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP012047
Entities
People
- A. Rassineux
- J. M. Savignat
- O. Stab
- P. Villon