Nonnegative volume matching by cubic C-1 splines on Clough-Tocher splits

Authors
Schmidt, JW Bastian, M Mulansky, B
Citation
Jw. Schmidt et al., Nonnegative volume matching by cubic C-1 splines on Clough-Tocher splits, SIAM J NUM, 39(2), 2001, pp. 566-586
Citations number
27
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
39
Issue
2
Year of publication
2001
Pages
566 - 586
Database
ISI
SICI code
0036-1429(20010708)39:2<566:NVMBCC>2.0.ZU;2-0
Abstract
We describe a numerical method to construct volume matching C-1 splines sat isfying the frequently occurring requirement of nonnegativity. The approxim ated histogram is assumed to be defined on a partition of a polygonal domai n into polygonal subdomains. Our idea consists of applying cubic C-1 spline s on Clough Tocher refinements of a triangulation that is compatible with t he given partition. The proposed algorithm always works successfully for no nnegative histograms.