Abstract
Sibson's interpolant uses Voronoi diagrams in the plane to interpolate a set of scattered data points. This paper presents an extension of this method to handle the interpolation of a set of functional curves (transfinite surface interpolation). We derive a simple formula for this new surface type which can interpolate to any number of boundary curves. In addition, a unique surface may be created from a set of discontinuous curves. Finally, we present a form of the interpolant which uses convex or concave polygonal domains.
Original language | English (US) |
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Pages (from-to) | 33-50 |
Number of pages | 18 |
Journal | Discrete Applied Mathematics |
Volume | 93 |
Issue number | 1 |
DOIs | |
State | Published - Apr 15 1999 |
Event | Proceedings of the 1997 13th European Workshop on Computational Geometry, CG-97 - Wuerzburg, Germany Duration: Mar 20 1997 → Mar 21 1997 |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics