C-2 Hermite interpolants obtained by subdivision

Authors
Citation
Jl. Merrien, C-2 Hermite interpolants obtained by subdivision, RAIRO-M MOD, 33(1), 1999, pp. 55-65
Citations number
10
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
1
Year of publication
1999
Pages
55 - 65
Database
ISI
SICI code
0764-583X(199901/02)33:1<55:CHIOBS>2.0.ZU;2-F
Abstract
We propose a two point subdivision scheme with parameters to draw curves th at satisfy Hermite conditions at both ends of [a,b]. We build three functio ns f,p and s on dyadic numbers and, using infinite products of matrices, we prove that, under assumptions on the parameters, these functions can be ex tended by continuity on [a, b], with f' = p and f " = s.