Discrete Fairing of Curves and Surfaces Based on Linear Curvature Distribution
MAX-PLANCK-INST FUER INFORMATIK SAARBRUECKEN (GERMANY)
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In the planar case, one possibility to create a high quality curve that interpolates a given set of points is to use a clothoid spline, which is a curvature continuous curve with linear curvature segments. In the first part of the paper we develop an efficient fairing algorithm that calculates the discrete analogon of a closed clothoid spline. In the second part we show how this discrete linear curvature concept can be extended to create a fairing scheme for the construction of a triangle mesh that interpolates the vertices of a given closed polyhedron of arbitrary topology.
- Numerical Mathematics
- Theoretical Mathematics