Basis conversion among Bézier, Tchebyshev and Legendre

Computer Aided Geometric Design

Volumn 15, Issue 6, 1998, Pages 637-642

  Li, Yong Ming ^a   Zhang, Xiao Ying ^b  

^a Intergraph Corporation   (United States)

^b NONE

Author keywords

Basis conversion; B zier; Legendre polynomials; Tchebyshev

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; COMPUTER AIDED DESIGN; COMPUTER AIDED MANUFACTURING; CONVERGENCE OF NUMERICAL METHODS; POLYNOMIALS;

BASIS CONVERSION;

CURVE FITTING;

EID: 0032099933     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-8396(98)00009-0     Document Type: Article

References (6)

1. Davis, P.J. (1975), Interpolation and Approximation, Dover Publications.
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4. Li, Y.M. and Hsu, V.Y. (1998), Curve offsetting based on Legendre series, Computer Aided Geometric Design in press.
5. Malosse, J.-J. (1994), Parametrisation of implicit elliptic curves by rational functions, in: Fisher, R.B., ed., Design and Application of Curves and Surfaces: The Mathematics of Surfaces V, Oxford University Press.
6. Watkins, M.A. and Worsey, A.J. (1988), Degree reduction of Bézier curves, Computer-Aided Design 20, 398-405.