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Basis conversion among Bézier, Tchebyshev and Legendre

Authors :
Xiao-Ying Zhang
Yong-Ming Li
Source :
Computer Aided Geometric Design. 15:637-642
Publication Year :
1998
Publisher :
Elsevier BV, 1998.

Abstract

Bezier representation of curves and surfaces has been a standard in most CAD/CAM systems. The conversion between Bezier, Tchebyshev, and Legendre representation of polynomial curves and surfaces is often desired when an approximation procedure is involved. In this paper, we present a simple and numerically stable method for basis conversion of Bezier, Tchebyshev, and Legendre polynomials.

Subjects

Subjects :
Polynomial curves
Basis (linear algebra)
Aerospace Engineering
Bézier curve
CAD
Topology
Computer Graphics and Computer-Aided Design
Simple (abstract algebra)
Modeling and Simulation
Automotive Engineering
Applied mathematics
Representation (mathematics)
Legendre polynomials
Mathematics

Details

ISSN :
01678396
Volume :
15
Database :
OpenAIRE
Journal :
Computer Aided Geometric Design
Accession number :
edsair.doi...........5f5d4722d4d0008d1ffdf7516aa3b5f8
Full Text :
https://doi.org/10.1016/s0167-8396(98)00009-0
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