SCATTERED DATA INTERPOLATION AND APPROXIMATION USING BIVARIATE C-1 PIECEWISE CUBIC POLYNOMIALS

Authors
LAI MJ
Citation
Mj. Lai, SCATTERED DATA INTERPOLATION AND APPROXIMATION USING BIVARIATE C-1 PIECEWISE CUBIC POLYNOMIALS, Computer aided geometric design, 13(1), 1996, pp. 81-88
Citations number
16
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
81 - 88
Database
ISI
SICI code
0167-8396(1996)13:1<81:SDIAAU>2.0.ZU;2-S
Abstract
We show that if the scattered data over a polygonal domain can be quad rangulated, then the space of bivariate C-1 piecewise cubic polynomial functions on a triangulation obtained from the quadrangulation has th e full approximation order. We point out that our method is more effic ient than the Clough-Tocher scheme.