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A Refinement of the Variation Diminishing Property of Bézier Curves

 Rachid Ait-Haddou , Taishin Nomura , Luc Biard
Computer Aided Geometric Design, 2010, 27 (2), pp.202-211. ⟨10.1016/j.cagd.2009.12.001⟩
Article dans une revue istex hal-00864488v1

Geometry of Polynomials from a CAGD Perspective

 Rachid Ait-Haddou , Taishin Nomura , Luc Biard
7th International Conference on Curves and Surfaces, Avignon 2010, Jun 2010, Avignon, France
Communication dans un congrès hal-00875018v1

Pythagorean hodograph spline spirals that match G3 Hermite data from circles

 Zhong Li , Rachid Ait-Haddou , Luc Biard
Journal of Computational and Applied Mathematics, 2015, 278, pp.162-180. ⟨10.1016/j.cam.2014.10.005⟩
Article dans une revue hal-00985241v1

Convergence of Dimension Elevation versus Density

 Rachid Ait-Haddou , Marie-Laurence Mazure
8th International Conference Curves and Surfaces, Jun 2014, Paris, France
Communication dans un congrès hal-01015953v1

A Remarkable Wronskian with Application to Critical Lengths of Cycloidal Spaces

 Rachid Ait-Haddou , Marie-Laurence Mazure , Helmut Ruhland
Calcolo, 2019, 56 (4), ⟨10.1007/s10092-019-0343-2⟩
Article dans une revue hal-02305316v1

Interpolation of G1 data by C1 sparse cubic-like PH spline curves

 Rachid Ait-Haddou , Carolina Vittoria Beccari , Marie-Laurence Mazure
Conference on Geometry: Theory and Applications (CGTA 2019), Jun 2019, Innsbruck, Austria
Communication dans un congrès hal-02157649v1

Dimension elevation vs Approximation by Bernstein operators

 Marie-Laurence Mazure , Rachid Ait-Haddou
V Jaen Conference on Approximation, Jun 2014, Ubeda, Spain
Communication dans un congrès hal-01015938v1
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Approximation by Müntz spaces on positive intervals

 Rachid Ait-Haddou , Marie-Laurence Mazure
Comptes Rendus. Mathématique, 2013, 351 (21-22), pp.849-852. ⟨10.1016/j.crma.2013.10.018⟩
Article dans une revue hal-00983519v1

Approximation by Chebyshevian Bernstein Operators versus Convergence of Dimension Elevation

 Rachid Ait-Haddou , Marie-Laurence Mazure
Constructive Approximation, 2016, 43 (3), pp.425-461. ⟨10.1007/s00365-016-9331-9⟩
Article dans une revue hal-01073067v1
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Blossoming and Hermite-Padé Approximation for Hypergeometric Series

 Rachid Ait-Haddou , Marie-Laurence Mazure
Numerical Algorithms, 2021, 88, pp.1183-1214. ⟨10.1007/s11075-021-01071-3⟩
Article dans une revue hal-02996917v1

Sparse Pythagorean hodograph curves

 Rachid Ait-Haddou , Marie-Laurence Mazure
Computer Aided Geometric Design, 2017, 55, pp.84-103. ⟨10.1016/j.cagd.2017.04.002⟩
Article dans une revue hal-01378895v1

Pythagorean-hodograph ovals of constant width

 Rachid Ait-Haddou , Walter Herzog , Luc Biard
Computer Aided Geometric Design, 2008, 25 (4-5), pp.258-273. ⟨10.1016/j.cagd.2007.10.008⟩
Article dans une revue istex hal-00864491v1

How to construct $C^1$ Pythagorean hodograph spline curves interpolating $G^1$ data via sparsity

 Rachid Ait-Haddou , Carolina Vittoria Beccari , Marie-Laurence Mazure
NuMA2018, International Workshop on Numerical Mathematics and its Applications, Sep 2018, Torino, Italy
Communication dans un congrès hal-01899236v1
Image document

Quantum Lorentz Degrees of Polynomials and a Pólya Theorem for Polynomials Positive on q-Lattices

 Rachid Ait-Haddou , Ron Goldman , Marie-Laurence Mazure
Applied Numerical Mathematics, 2021, 165, pp.553-577. ⟨10.1016/j.apnum.2021.03.009⟩
Article dans une revue hal-03040560v1

The Hyers-Ulam Stability Constant for Chebyshevian Bernstein Operators

 Rachid Ait-Haddou , Daisuke Furihata , Marie-Laurence Mazure
Journal of Mathematical Analysis and Applications, 2018, 463 (2), pp.1075-1091. ⟨10.1016/j.jmaa.2018.03.067⟩
Article dans une revue hal-01660631v1

Nested Sequences of Rational Spaces: Bernstein Approximation, Dimension Elevation, and Pólya-type Theorems on Positive Polynomials

 Rachid Ait-Haddou , Marie-Laurence Mazure , Hermann Render
Journal of Approximation Theory, 2018, 234, pp.20-50. ⟨10.1016/j.jat.2018.04.010⟩
Article dans une revue hal-01360889v1

Interpolation of G1 Hermite data by C1 cubic-like sparse Pythagorean hodograph splines

 Rachid Ait-Haddou , Carolina Vittoria Beccari , Marie-Laurence Mazure
Computer Aided Geometric Design, 2020, 79, pp.101838. ⟨10.1016/j.cagd.2020.101838⟩
Article dans une revue hal-02358014v1

Convergence of dimension elevation in Chebyshev spaces versus approximation by Chebyshevian Bernstein operators

 Rachid Ait Haddou , Marie-Laurence Mazure
MAMERN VI–2015: 6th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Univ. Pau, Jun 2015, Pau, France
Communication dans un congrès hal-01164458v1

The fundamental blossoming inequality in Chebyshev spaces I: Applications to Schur functions

 Rachid Ait Haddou , Marie-Laurence Mazure
Foundations of Computational Mathematics, 2018, 18 (1), pp.135-158. ⟨10.1007/s10208-016-9334-8⟩
Article dans une revue hal-01196303v1

Convergence of dimension elevation algorithms : only a typical CAGD issue?

 Marie-Laurence Mazure , Rachid Ait Haddou
SIGMA'2016, SMAI-SIGMA, Oct 2016, Marseille-Luminy, France
Communication dans un congrès hal-01408144v1
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