C1 and C2-continuous polynomial parametric Lp splines (p ≥ 1)

Computer Aided Geometric Design

Volumn 24, Issue 7, 2007, Pages 373-394

  Auquiert, P ^a   Gibaru, O ^b   Nyiri, E ^b  

^a Université de Valenciennes et du Hainaut Cambrésis   (France)

^b ARTS ET MÉTIERS PARISTECH   (France)

Author keywords

Interpolation; L1 polynomial parametric splines; Lp polynomial parametric splines

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DATA STRUCTURES; INTERPOLATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

LINEAR PROBLEM; NONLINEAR FUNCTIONALS; POLYNOMIAL PARAMETRIC SPLINES;

POLYNOMIAL APPROXIMATION;

EID: 34547208064     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2007.04.007     Document Type: Article

References (13)

1. Brezis H. Analyse fonctionnelle : Théorie et applications (1999), Dunod, Paris
2. 1 splines-A geometric programming approach. Mathematical Methods of Operations Research 56 (2002) 197-229
3. 1 splines. Journal of Computational and Applied Mathematics 174 (2005) 361-382
4. Choquet G. Cours d'analyse, tome 2, Topologie (1969), Masson et Cie, Paris
5. De Boor C. A Practical Guide to Splines (1978), Springer, Berlin
6. Farin G. Curves and Surfaces for Computer Aided Geometric Design: a Practical Guide (1993), Academic press, New-York
7. Hoschek J., and Lasser D. Fundamentals of Computer Aided Geometric Design (1993), A.K. Peters, Wellesley
8. 1 splines. Computer Aided Geometric Design 17 (2000) 319-336
9. 1 splines. Computer Aided Geometric Design 18 (2001) 321-343
10. 1 spline curves. Computer Aided Geometric Design 23 (2006) 276-296
11. p approximation by polygonal lines. East Journal on Approximations 5 2 (1999) 235-251
12. Vanderbei R.J., Meketon M.J., and Freedman B.A. A modification of Karmarkar's linear programming algorithm. Algorithmica 1 (1986) 395-407
13. Zang Z., and Martin C.F. Convergence and Gibb's phenomenon in cubic spline interpolation of discontinuous functions. Journal of Computational and Applied Mathematics 87 (1997) 359-371