Accession Number:

ADP013715

Title:

Uniform Powell-Sabin Splines for the Polygonal Hole Problem

Descriptive Note:

Conference paper

Corporate Author:

KATHOLIEKE UNIV LEUVEN (BELGIUM) DEPT OF COMPUTER SCIENCES

Personal Author(s):

Report Date:

2001-07-01

Pagination or Media Count:

8.0

Abstract:

An algorithm is described for smoothly filling in a polygonal hole in a surface, with a parametric uniform Powell-Sabin spline surface patch. It uses interpolation and subdivision techniques for iteratively determining an approximating solution. No assumptions are made about the surrounding surface. The user has to provide routines for calculating the curve points and the unit surface normal along the edge, as well as the unit tangent vector of the edge curves, parametrized on the unit interval.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE