Paper Info
Title
High order approximation of rational curves by polynomial curves
Abstract
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lower than usual. The construction unifies and generalizes the families of circle and conic approximations of Lyche and Mørken and the author in which the approximation order is twice the degree of the polynomial.
Year
DOI
Venue
2006
10.1016/j.cagd.2006.06.003
Computer Aided Geometric Design
Keywords
Field
DocType
high order approximation,hermite sense,euclid's algorithm.,rational parametric curve,high order approxi- mation,polynomial interpolation,approximation order,rational curves,construction unifies,polynomial curve,rational curve,conic approximation,euclid's algorithm,parametric curve
Mathematical optimization,Parametric equation,Family of curves,Polynomial,Polynomial interpolation,Hermite polynomials,Degree of a polynomial,Geometric design,Conic section,Mathematics
Journal
Volume
Issue
ISSN
23
8
Computer Aided Geometric Design
Citations 
PageRank 
References 
11
1.03
10
Authors
1
Name
Order
Citations
PageRank
Michael S. Floater11333117.22