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...

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Vydáno v:Proceedings of the 17th Spring Conference on Computer Graphics s. 71
Hlavní autor: Neamtu, Marian
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: Washington, DC, USA IEEE Computer Society 25.04.2001
Edice:ACM Conferences
Témata:
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
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Popis
Shrnutí: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.
Bibliografie:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:9780769512150
0769512151
DOI:10.5555/882484.883938