MONOTONICITY-PRESERVING INTERPOLATION OF NONGRIDDED DATA

Authors
COSTANTINI P MANNI C
Citation
P. Costantini et C. Manni, MONOTONICITY-PRESERVING INTERPOLATION OF NONGRIDDED DATA, Computer aided geometric design, 13(5), 1996, pp. 467-495
Citations number
15
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
13
Issue
5
Year of publication
1996
Pages
467 - 495
Database
ISI
SICI code
0167-8396(1996)13:5<467:MIOND>2.0.ZU;2-Y
Abstract
This paper describes a local method for the construction of differenti able functions interpolating a set of data connected in a general tens er-product topology, These functions are shape-preserving in the sense that they locally maintain the monotonicity of the data along curves ''parallel'' to the related coordinates lines. Error estimates and gra phical examples are provided.