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De Boor's algorithm

Known as: De Boor, De Boor algorithm 
In the mathematical subfield of numerical analysis de Boor's algorithm is a fast and numerically stable algorithm for evaluating spline curves in B… 
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Related topics

Related topics

10 relations
AlgorithmB-splineBézier curveDe Casteljau's algorithm

Broader (1)

Interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2008
2008
An Introduction to Bezier Curves, B-Splines, and Tensor Product Surfaces with History and Applications
Before computer graphics ever existed there were engineers designing aircraft wings and automobile chassis by using splines. A… 
2008
2008
Bivariate ideal projectors and their perturbations
In this paper we present a complete description of ideal projectors from the space of bivariate polynomials $\mathbb{F}[x,y… 
2007
2007
Pseudoaffinity, de Boor algorithm, and blossoms
Abstract In order to ensure existence of a de Boor algorithm (hence of a B-spline basis) in a given spline space with (n+1… 
2006
2006
On a Conjecture of Carl de Boor Regarding the Limits of Lagrange Interpolants
The purpose of this paper is to provide a counterexample to a conjecture of Carl de Boor [2], that every ideal projector is a… 
1995
1995
A generalization of de Boor’s stability result and symmetric preconditioning
We provide a symmetric preconditioning method based on weighted divided differences which can be applied in order to solve… 
1994
1994
On the orthogonality of residual polynomials\newline of minimax polynomial preconditioning
Summary.This paper studies polynomials used in polynomial preconditioning for solving linear systems of equations. Optimum… 
1991
1991
Joining rational curves smoothly
1989
1989
Yet another proof of knot insertion
1981
1981
Local piecewise polynomial projection methods for an O.D.E. which give high-order convergence at knots
Local projection methods which yield C/sup( m/-1) piecewise polynomials of order m+k as approximate solutions of a boundary value… 
1976
1976
Calculation of interpolating natural spline functions using de Boor''s package for calculating with B-splines
A FORTRAN subroutine is described for finding interpolating natural splines of odd degree for an arbitrary set of data points… 
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