Approximation and/or construction of curves by minimization methods with or without constraints
Bercovier, M. ; Jacobi, A.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 26 (1992), p. 211-232 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1992-01-01
@article{M2AN_1992__26_1_211_0,
     author = {Bercovier, M. and Jacobi, A.},
     title = {Approximation and/or construction of curves by minimization methods with or without constraints},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {26},
     year = {1992},
     pages = {211-232},
     mrnumber = {1155009},
     zbl = {0801.65014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1992__26_1_211_0}
}

Bercovier, M.; Jacobi, A. Approximation and/or construction of curves by minimization methods with or without constraints. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 26 (1992) pp. 211-232. http://gdmltest.u-ga.fr/item/M2AN_1992__26_1_211_0/

[1] Babuska, B. A. Szabo & I. N. Katz (1981), The p-version of the Finite Element Method, SIAM J. Numer. Anal, 18, pp. 515-545. | MR 615529 | Zbl 0487.65059

[2] A. Ball (1984), Reparametrization and Its Application in CAGD, Internat. J. Numer. Methods Engrg., Vol. 20, pp. 197-216, John Wiley & Sons. | Zbl 0539.65005

[3] P. G. Ciarlet (1982), Introduction à l'Analyse Numérique Matricielle et à l'Optimisation, Masson, Paris, English translation (1989), Cambridge University Press. | Zbl 0488.65001

[4] L. Dannenberg, H. Nowacki (1985), Approximate Conversion of Surface Representations with Polynomials Bases, CAGD, 2, pp. 123-132. | MR 828540 | Zbl 0577.65005

[5] G. Farin (1988), Curves and Surfaces for Computer Aided Geometric Design, A Practical Guide, Academic Press, Inc., Boston. | MR 974109 | Zbl 0694.68004

[6] R. J. Goult (1990), Parametric Curves and Surface Approximation, in Mathematics of Surfaces III, éd. Handscomb, D. C, Oxford University Press. | Zbl 0718.41025

[7] G. Hölzle (1983), Knot Placement for Piecewise Polynomial Approximation of Curves, Comput. Aided Design, 15, pp. 295-296.

[8] J. Hoschek (1985), Offset Curves in the Plane, Comput. Aided Design, 4, pp. 59-66. | MR 898023 | Zbl 0645.65008

[9] J. Hoschek (1987), Approximation Conversion of Spline Curves, Comput. Aided Geom. Design, 17, pp. 77-82. | MR 898023 | Zbl 0645.65008

[10] J. Hoschek (1988), Spline Approximation of Offset Curves, Comput. Aided Geom. Design, 5, pp. 33-40. | MR 945304 | Zbl 0647.65007

[11] J. Hoschek (1988), Intrinsic Parametrization for Approximation, Comput. Aided Geom. Design, 5, pp. 27-31. | MR 945303 | Zbl 0644.65011

[12] J. Hoschek, F. J. Schneider, P. Wassum (1988), Optimal Approximation Conversion of Spline Surfaces, Comput. Aided Design, 20, pp. 457-483. | Zbl 0682.65005

[13] M. A. Lachance (1988), Chebyshev Economisation for Parametric Surfaces, Comput. Aided Geom. Design, 5, pp. 195-208. | MR 959604 | Zbl 0709.65012

[14] L. D. Landau, E. M. Lifshitz (1959), Mechanics, Pergamon Press, Oxford, Ed. 3. | MR 475051

[15] N. Luscher (1988), The Bernstein-Bézier Technique in the Finite Element Method, Exemplary for the Univariate Case, Technical Report from the University of Braunschweig.

[16] H. Nowacki, L. Dingyuan, L. Xinmin (1990), Fairing Bézier Curves With Constraints, Comput. Aided Geom. Design, 7, pp. 43-55. | MR 1074598 | Zbl 0755.65018

[17] C. Zienkiewicz (1977), The Finite Element Method in Engineering Science, McGraw-Hill, London. | Zbl 0237.73071