MINIMAL ENERGY SURFACES USING PARAMETRIC SPLINES

Authors
FASSHAUER GE SCHUMAKER LL
Citation
Ge. Fasshauer et Ll. Schumaker, MINIMAL ENERGY SURFACES USING PARAMETRIC SPLINES, Computer aided geometric design, 13(1), 1996, pp. 45-79
Citations number
64
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
13
Issue
1
Year of publication
1996
Pages
45 - 79
Database
ISI
SICI code
0167-8396(1996)13:1<45:MESUPS>2.0.ZU;2-Y
Abstract
We explore the construction of parametric surfaces which interpolate p rescribed 3D scattered data using spaces of parametric splines defined on a 2D triangulation. The method is based on minimizing certain natu ral energy expressions. Several examples involving Ailing holes and cr owning surfaces are presented, and the role of the triangulation as a parameter is explored. The problem of creating closed surfaces is also addressed. This requires introducing spaces of splines on certain gen eralized triangulations.