Bivariate Simplex B-Splines A New Paradigm

A construction of bivariate splines is described, based on a new concept of higher degree Delaunay configurations. The crux of this construction is that knot-sets for simplex B-splines are selected by considering groups of "nearby" knots. The new approach gives rise to a natural generaliza...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the 17th Spring Conference on Computer Graphics p. 71
Main Author: Neamtu, Marian
Format: Conference Proceeding
Language:English
Published: Washington, DC, USA IEEE Computer Society 25.04.2001
Series:ACM Conferences
Subjects:
Computing methodologies
Computing methodologies > Computer graphics
Computing methodologies > Computer graphics > Shape modeling
Mathematics of computing
Mathematics of computing > Mathematical analysis
Mathematics of computing > Mathematical analysis > Functional analysis
Mathematics of computing > Mathematical analysis > Functional analysis > Approximation
Mathematics of computing > Mathematical analysis > Numerical analysis
Mathematics of computing > Mathematical analysis > Numerical analysis > Computations on polynomials
Mathematics of computing > Mathematical analysis > Numerical analysis > Interpolation
Higher Order Voronoi Diagrams
Delaunay Configurations
Bivariate Simplex B-Splines
ISBN:9780769512150, 0769512151
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A construction of bivariate splines is described, based on a new concept of higher degree Delaunay configurations. The crux of this construction is that knot-sets for simplex B-splines are selected by considering groups of "nearby" knots. The new approach gives rise to a natural generalization of univariate splines in that the linear span of this collection of B-splines forms a space which is analogous to the classical univariate splines. This new spline space depends uniquely and in a local way on the prescribed knot locations, and there is no need to use auxiliary or perturbed knots as in some earlier constructions.
Bibliography:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:9780769512150
0769512151
DOI:10.5555/882484.883938