Piecewise Chebyshevian splines: interpolation versus design

Author:

Mazure Marie-Laurence

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference39 articles.

1. Barry, P.J.: de Boor-Fix dual functionals and algorithms for Tchebycheffian B-splines curves. Constr. Approx. 12, 385–408 (1996)

2. Barsky, B.A.: The β-spline, a local representation based on shape parameters and fundamental geometric measures. Ph.D. dissertation, Dept. of Computer Science, University of Utah, Salt Lake City Utah (1981)

3. Barsky, B.A., Beatty, J.C.: Local control of bias and tension in beta-splines. ACM Trans. Graphics 2, 09–134 (1983)

4. de Boor, C.: A Practical Guide to Splines, revised version, Applied Math. Sc., Springer 27 (2001)

5. de Boor, C., DeVore, R.: A geometric proof of total positivity for spline interpolation. Math. Comput. 45, 497–504 (1985)

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1. High order approximation by CCC-spline quasi-interpolants;Journal of Computational and Applied Mathematics;2024-05

2. Geometrically continuous piecewise Chebyshevian NU(R)BS;BIT Numerical Mathematics;2020-01-09

3. Constructing totally positive piecewise Chebyshevian B-spline bases;Journal of Computational and Applied Mathematics;2018-11

4. Design or not design? A numerical characterisation for piecewise Chebyshevian splines;Numerical Algorithms;2018-05-12

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