A BICUBIC SHAPE-PRESERVING BLENDING SCHEME

Authors
COSTANTINI P MANNI C
Citation
P. Costantini et C. Manni, A BICUBIC SHAPE-PRESERVING BLENDING SCHEME, Computer aided geometric design, 13(4), 1996, pp. 307-331
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
4
Year of publication
1996
Pages
307 - 331
Database
ISI
SICI code
0167-8396(1996)13:4<307:ABSBS>2.0.ZU;2-7
Abstract
We propose a local method for the construction of differentiable funct ions which interpolate a set of gridded data and are monotonicity pres erving, that is increasing or decreasing exactly where the data are. T he scheme is based upon the boolean sum of cubic interpolating operato rs, which blend together shape-preserving, one dimensional, interpolat ing polynomials of adaptive degree. Error estimates are also provided.