Accession Number:

ADP012048

Title:

Discrete Fairing of Curves and Surfaces Based on Linear Curvature Distribution

Descriptive Note:

Conference paper

Corporate Author:

MAX-PLANCK-INST FUER INFORMATIK SAARBRUECKEN (GERMANY)

Personal Author(s):

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE