Fabrice Rouillier

Orcid: 0009-0004-2972-822X

According to our database1, Fabrice Rouillier authored at least 55 papers between 1998 and 2024.

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Bibliography

2024
On a Software Joint Velocity Limitation of a Spherical Parallel Manipulator with Coaxial Input Shafts.
CoRR, 2024

Reading Rational Univariate Representations on lexicographic Groebner bases.
CoRR, 2024

2023
On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators.
Maple Trans., 2023

PTOPO: Computing the geometry and the topology of parametric curves.
J. Symb. Comput., 2023

Inertial Line-Of-Sight Stabilization Using a 3-DOF Spherical Parallel Manipulator with Coaxial Input Shafts.
CoRR, 2023

L<sup>∞</sup>-norm computation for linear time-invariant systems depending on parameters.
CoRR, 2023

On Isolating Roots in a Multiple Field Extension.
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023

2022
Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology.
Discret. Comput. Geom., 2022

2021
PTOPO: Computing the Geometry and the Topology of Parametric Curves.
CoRR, 2021

2020
PTOPO: a maple package for the topology of parametric curves.
ACM Commun. Comput. Algebra, 2020

Computation of the ℒ<sub>∞ </sub>-norm of Finite-Dimensional Linear Systems.
Proceedings of the Maple in Mathematics Education and Research - 4th Maple Conference, 2020

On the geometry and the topology of parametric curves.
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.
Multidimens. Syst. Signal Process., 2019

Using Maple to Analyse Parallel Robots.
Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

On the Effective Computation of Stabilizing Controllers of 2D Systems.
Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

2018
Computing Chebyshev knot diagrams.
J. Symb. Comput., 2018

2017
Bivariate triangular decompositions in the presence of asymptotes.
J. Symb. Comput., 2017

Foreword.
J. Symb. Comput., 2017

2016
Solving bivariate systems using Rational Univariate Representations.
J. Complex., 2016

Character Varieties For SL(3, ℂ): The Figure Eight Knot.
Exp. Math., 2016

Computing Real Roots of Real Polynomials ... and now For Real!
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015
Separating linear forms and Rational Univariate Representations of bivariate systems.
J. Symb. Comput., 2015

An algebraic method to check the singularity-free paths for parallel robots.
CoRR, 2015

Workspace and Singularity analysis of a Delta like family robot.
CoRR, 2015

Computer algebra methods for testing the structural stability of multidimensional systems.
Proceedings of the IEEE 9th International Workshop on Multidimensional (nD) Systems, 2015

On the Sign of a Trigonometric Expression.
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.
CoRR, 2014

On the computation of the topology of plane curves.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

Improved algorithm for computing separating linear forms for bivariate systems.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013
Local Rigidity for PGL(3, C)-Representations of 3-Manifold Groups.
Exp. Math., 2013

Solving bivariate systems: Efficient worst-case algorithm for computing Rational Univariate Representations and applications
CoRR, 2013

Separating linear forms for bivariate systems.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

Rational univariate representations of bivariate systems and applications.
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
CoRR, 2012

2010
On the Topology of Real Algebraic Plane Curves.
Math. Comput. Sci., 2010

The first rational Chebyshev knots.
J. Symb. Comput., 2010

On the determination of cusp points of 3-R\underline{P}R parallel manipulators
CoRR, 2010

Cusp points in the parameter space of RPR-2PRR parallel manipulator
CoRR, 2010

On Solving Systems of Bivariate Polynomials.
Proceedings of the Mathematical Software, 2010

2009
Foreword.
J. Symb. Comput., 2009

On the topology of planar algebraic curves.
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.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007
Comments on "A Blind Signal Separation Method for Multiuser Communications".
IEEE Trans. Signal Process., 2007

Using Computer Algebra to Certify the Global Convergence of a Numerical Optimization Process.
Math. Comput. Sci., 2007

Solving parametric polynomial systems.
J. Symb. Comput., 2007

Algorithmes pour l'étude des solutions réelles des systèmes polynomiaux.
, 2007

2006
The implicit structure of ridges of a smooth parametric surface.
Comput. Aided Geom. Des., 2006

2005
Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library.
Reliab. Comput., 2005

2002
Real Solving for Positive Dimensional Systems.
J. Symb. Comput., 2002

Using Computer Algebra Tools to Classify Serial Manipulators.
Proceedings of the Automated Deduction in Geometry, 2002

2001
Efficient Algorithms Based on Critical Points Method.
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.
J. Complex., 2000

Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study.
Proceedings of the Automated Deduction in Geometry, Third International Workshop, 2000

1999
Solving Zero-Dimensional Systems Through the Rational Univariate Representation.
Appl. Algebra Eng. Commun. Comput., 1999

1998
Design of regular nonseparable bidimensional wavelets using Grobner basis techniques.
IEEE Trans. Signal Process., 1998


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