Title
An Analysis of Tension Methods for Convexity-Preserving Interpolation
Abstract
We introduce a Hermite-interpolating space general enough to include most commonly used tensioned interpolants, with conditions that allow others to be easily constructed. Each of these spaces may be associated with a convexity interval that gives a quantitative measure of its ability to produce convexity-preserving interpolants. This analysis is applied to produce a simple algorithm for constructing piecewise univariate C1 interpolants that preserve convexity of the data by adaptive tension application.
Year
DOI
Venue
1987
10.1109/MCG.1987.276914
Computer Graphics and Applications, IEEE
Field
DocType
Volume
Convexity,Mathematical optimization,Algorithm design,Polynomial,Computer science,Interpolation,SIMPLE algorithm,Univariate,Hermite interpolation,Piecewise
Journal
7
Issue
ISSN
Citations 
8
0272-1716
8
PageRank 
References 
Authors
1.68
2
2
Name
Order
Citations
PageRank
G. Yates Fletcher181.68
David F. McAllister281.68