Rachid Ait-Haddou

According to our database, Rachid Ait-Haddou authored at least 29 papers between 1996 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

De Casteljau's geometric approach to geometric design still alive.

Rachid Ait-Haddou, Marie-Laurence Mazure

Comput. Aided Geom. Des., 2024

2021

Asymptotically optimal quadrature rules for uniform splines over the real line.

Rachid Ait-Haddou, Helmut Ruhland

Numer. Algorithms, 2021

Blossoming and Hermite-Padé approximation for hypergeometric series.

Rachid Ait-Haddou, Marie-Laurence Mazure

Numer. Algorithms, 2021

Computation of Optimal Linear Strong Stability Preserving Methods Via Adaptive Spectral Transformations of Poisson-Charlier Measures.

Rachid Ait-Haddou

J. Sci. Comput., 2021

2020

Interpolation of <i>G</i>¹ Hermite data by <i>C</i>¹ cubic-like sparse Pythagorean hodograph splines.

Rachid Ait-Haddou, Carolina Vittoria Beccari, Marie-Laurence Mazure

Comput. Aided Geom. Des., 2020

2018

Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials.

Rachid Ait-Haddou, Marie-Laurence Mazure, Hermann Render

J. Approx. Theory, 2018

The Fundamental Blossoming Inequality in Chebyshev Spaces - I: Applications to Schur Functions.

Rachid Ait-Haddou, Marie-Laurence Mazure

Found. Comput. Math., 2018

2017

q-Blossoming and Hermite-Padé approximants to the q-exponential function.

Rachid Ait-Haddou

Numer. Algorithms, 2017

Gaussian quadrature rules for C¹ quintic splines with uniform knot vectors.

Michael Barton, Rachid Ait-Haddou, Victor Manuel Calo

J. Comput. Appl. Math., 2017

Sparse Pythagorean hodograph curves.

Rachid Ait-Haddou, Marie-Laurence Mazure

Comput. Aided Geom. Des., 2017

2016

Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights.

Rachid Ait-Haddou

J. Approx. Theory, 2016

Constrained multi-degree reduction with respect to Jacobi norms.

Rachid Ait-Haddou, Michael Barton

Comput. Aided Geom. Des., 2016

2015

Pythagorean hodograph spline spirals that match G³ Hermite data from circles.

Zhong Li, Rachid Ait-Haddou, Luc Biard

J. Comput. Appl. Math., 2015

Explicit Gaussian quadrature rules for C¹ cubic splines with symmetrically stretched knot sequences.

Rachid Ait-Haddou, Michael Barton, Victor Manuel Calo

J. Comput. Appl. Math., 2015

On the Lorentz degree of a product of polynomials.

Rachid Ait-Haddou

J. Approx. Theory, 2015

Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials.

Rachid Ait-Haddou, Ron Goldman

Appl. Math. Comput., 2015

2014

Dimension elevation in Müntz spaces: A new emergence of the Müntz condition.

Rachid Ait-Haddou

J. Approx. Theory, 2014

2013

Chebyshev blossoming in Müntz spaces: Toward shaping with Young diagrams.

Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura

J. Comput. Appl. Math., 2013

A Müntz type theorem for a family of corner cutting schemes.

Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura

Comput. Aided Geom. Des., 2013

Gelfond-Bézier curves.

Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura

Comput. Aided Geom. Des., 2013

2010

A refinement of the variation diminishing property of Bézier curves.

Rachid Ait-Haddou, Taishin Nomura, Luc Biard

Comput. Aided Geom. Des., 2010

Complex Bézier curves and the geometry of polygons.

Rachid Ait-Haddou, Walter Herzog, Taishin Nomura

Comput. Aided Geom. Des., 2010

Complex Bézier Curves and the Geometry of Polynomials.

Rachid Ait-Haddou, Taishin Nomura

Proceedings of the Curves and Surfaces, 2010

2008

Pythagorean-hodograph ovals of constant width.

Rachid Ait-Haddou, Walter Herzog, Luc Biard

Comput. Aided Geom. Des., 2008

2002

Convex subdivision of a Bézier curve.

Rachid Ait-Haddou, Walter Herzog

Comput. Aided Geom. Des., 2002

Minimizing blossoms under symmetric linear constraints.

Rachid Ait-Haddou, Luc Biard, Michael A. Slawinski

Comput. Aided Geom. Des., 2002

2000

Minkowski isoperimetric-hodograph curves.

Rachid Ait-Haddou, Luc Biard, Michael A. Slawinski

Comput. Aided Geom. Des., 2000

On Optimal Tolerancing in Computer-Aided Design.

Helmut Pottmann, Boris Odehnal, Martin Peternell, Johannes Wallner, Rachid Ait-Haddou

Proceedings of the Geometric Modeling and Processing 2000, 2000

1996

Courbes à Hodographe Pythagorien en Géométrie de Minkowski et Modélisation Géométrique. (Pythagorean Hodograph Curves in Minkowski Geometry and Geometric Modeling).

Rachid Ait-Haddou

PhD thesis, 1996