Fabrice Rouillier

According to our database, Fabrice Rouillier authored at least 56 papers between 1998 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

L^infinity-norm computation for linear time-invariant systems depending on parameters.

Alban Quadrat, Fabrice Rouillier, Grace Younes

Maple Trans., 2024

On a Software Joint Velocity Limitation of a Spherical Parallel Manipulator with Coaxial Input Shafts.

Alexandre Lê, Guillaume Rance, Fabrice Rouillier, Arnaud Quadrat, Damien Chablat

CoRR, 2024

Reading Rational Univariate Representations on lexicographic Groebner bases.

Alexander Demin, Fabrice Rouillier, Joao Ruiz

CoRR, 2024

2023

On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators.

Alexandre Lê, Fabrice Rouillier, Damien Chablat, Guillaume Rance

Maple Trans., 2023

PTOPO: Computing the geometry and the topology of parametric curves.

Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos

J. Symb. Comput., 2023

Inertial Line-Of-Sight Stabilization Using a 3-DOF Spherical Parallel Manipulator with Coaxial Input Shafts.

Alexandre Lê, Guillaume Rance, Fabrice Rouillier, Damien Chablat

CoRR, 2023

L^∞-norm computation for linear time-invariant systems depending on parameters.

Alban Quadrat, Fabrice Rouillier, Grace Younes

CoRR, 2023

On Isolating Roots in a Multiple Field Extension.

Christina Katsamaki, Fabrice Rouillier

Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023

2022

Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology.

Daouda Niang Diatta, Sény Diatta, Fabrice Rouillier, Marie-Françoise Roy, Michael Sagraloff

Discret. Comput. Geom., 2022

2021

PTOPO: Computing the Geometry and the Topology of Parametric Curves.

Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas

CoRR, 2021

2020

PTOPO: a maple package for the topology of parametric curves.

Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos

ACM Commun. Comput. Algebra, 2020

Computation of the ℒ_∞-norm of Finite-Dimensional Linear Systems.

Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier, Grace Younes

Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

On the geometry and the topology of parametric curves.

Christina Katsamaki, Fabrice Rouillier, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2019

Certified non-conservative tests for the structural stability of discrete multidimensional systems.

Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier

Multidimens. Syst. Signal Process., 2019

Using Maple to Analyse Parallel Robots.

Damien Chablat, Guillaume Moroz, Fabrice Rouillier, Philippe Wenger

Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

On the Effective Computation of Stabilizing Controllers of 2D Systems.

Yacine Bouzidi, Thomas Cluzeau, Alban Quadrat, Fabrice Rouillier

Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

2018

Computing Chebyshev knot diagrams.

Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier, Cuong Tran

J. Symb. Comput., 2018

2017

Bivariate triangular decompositions in the presence of asymptotes.

Sylvain Lazard, Marc Pouget, Fabrice Rouillier

J. Symb. Comput., 2017

Foreword.

Jan Draisma, Giorgio Ottaviani, Fabrice Rouillier

J. Symb. Comput., 2017

2016

Solving bivariate systems using Rational Univariate Representations.

Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, Michael Sagraloff

J. Complex., 2016

Character Varieties For SL(3, ℂ): The Figure Eight Knot.

Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff, Fabrice Rouillier, Morwen Thistlethwaite

Exp. Math., 2016

Computing Real Roots of Real Polynomials ... and now For Real!

Alexander Kobel, Fabrice Rouillier, Michael Sagraloff

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015

Separating linear forms and Rational Univariate Representations of bivariate systems.

Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier

J. Symb. Comput., 2015

An algebraic method to check the singularity-free paths for parallel robots.

Ranjan K. Jha, Damien Chablat, Fabrice Rouillier, Guillaume Moroz

CoRR, 2015

Workspace and Singularity analysis of a Delta like family robot.

Ranjan K. Jha, Damien Chablat, Fabrice Rouillier, Guillaume Moroz

CoRR, 2015

Computer algebra methods for testing the structural stability of multidimensional systems.

Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier

Proceedings of the IEEE 9th International Workshop on Multidimensional (nD) Systems, 2015

On the Sign of a Trigonometric Expression.

Pierre-Vincent Koseleff, Fabrice Rouillier, Cuong Tran

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

2014

Non-singular assembly mode changing trajectories in the workspace for the 3-RPS parallel robot.

Damien Chablat, Ranjan K. Jha, Fabrice Rouillier, Guillaume Moroz

CoRR, 2014

On the computation of the topology of plane curves.

Daouda Niang Diatta, Fabrice Rouillier, Marie-Françoise Roy

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

Improved algorithm for computing separating linear forms for bivariate systems.

Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013

Local Rigidity for PGL(3, C)-Representations of 3-Manifold Groups.

Nicolas Bergeron, Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff, Fabrice Rouillier

Exp. Math., 2013

Solving bivariate systems: Efficient worst-case algorithm for computing Rational Univariate Representations and applications

Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier

CoRR, 2013

Separating linear forms for bivariate systems.

Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

Rational univariate representations of bivariate systems and applications.

Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

2012

Cusp Points in the Parameter Space of Degenerate 3-RPR Planar Parallel Manipulators

Montserrat Manubens, Guillaume Moroz, Damien Chablat, Philippe Wenger, Fabrice Rouillier

CoRR, 2012

2010

On the Topology of Real Algebraic Plane Curves.

Jin-San Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. Tsigaridas

Math. Comput. Sci., 2010

The first rational Chebyshev knots.

Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier

J. Symb. Comput., 2010

On the determination of cusp points of 3-R\underline{P}R parallel manipulators

Guillaume Moroz, Fabrice Rouillier, Damien Chablat, Philippe Wenger

CoRR, 2010

Cusp points in the parameter space of RPR-2PRR parallel manipulator

Guillaume Moroz, Damien Chablat, Philippe Wenger, Fabrice Rouillier

CoRR, 2010

On Solving Systems of Bivariate Polynomials.

Fabrice Rouillier

Proceedings of the Mathematical Software, 2010

2009

Foreword.

Jean-Charles Faugère, Fabrice Rouillier

J. Symb. Comput., 2009

On the topology of planar algebraic curves.

Jin-San Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. Tsigaridas

Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008

Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities.

Jean-Charles Faugère, Guillaume Moroz, Fabrice Rouillier, Mohab Safey El Din

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

Comments on "A Blind Signal Separation Method for Multiuser Communications".

Nong Gu, Yong Xiang, Fabrice Rouillier, Zhiqiang Cao

IEEE Trans. Signal Process., 2007

Using Computer Algebra to Certify the Global Convergence of a Numerical Optimization Process.

Nong Gu, Daniel Lazard, Fabrice Rouillier, Yong Xiang

Math. Comput. Sci., 2007

Solving parametric polynomial systems.

Daniel Lazard, Fabrice Rouillier

J. Symb. Comput., 2007

Algorithmes pour l'étude des solutions réelles des systèmes polynomiaux.

Fabrice Rouillier

, 2007

2006

The implicit structure of ridges of a smooth parametric surface.

Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier

Comput. Aided Geom. Des., 2006

2005

Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library.

Nathalie Revol, Fabrice Rouillier

Reliab. Comput., 2005

2002

Real Solving for Positive Dimensional Systems.

Philippe Aubry, Fabrice Rouillier, Mohab Safey El Din

J. Symb. Comput., 2002

Using Computer Algebra Tools to Classify Serial Manipulators.

Solen Corvez, Fabrice Rouillier

Proceedings of the Automated Deduction in Geometry, 2002

2001

Efficient Algorithms Based on Critical Points Method.

Fabrice Rouillier

Proceedings of the Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, 2001

2000

Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation.

Fabrice Rouillier, Marie-Françoise Roy, Mohab Safey El Din

J. Complex., 2000

Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study.

Fabrice Rouillier, Mohab Safey El Din, Éric Schost

Proceedings of the Automated Deduction in Geometry, Third International Workshop, 2000

1999

Solving Zero-Dimensional Systems Through the Rational Univariate Representation.

Fabrice Rouillier

Appl. Algebra Eng. Commun. Comput., 1999

1998

Design of regular nonseparable bidimensional wavelets using Grobner basis techniques.

Jean-Charles Faugère, François Moreau de Saint-Martin, Fabrice Rouillier

IEEE Trans. Signal Process., 1998