Fabrice Rouillier

2025

• Alexandre Lê, Fabrice Rouillier, Guillaume Rance, Damien Chablat. Certified Kinematic Tools for the Design and Control of Parallel Robots. Mechanism and Machine Theory, 205, pp. 105865, 2025. HAL PDF DOI

2024

• Alban Quadrat, Fabrice Rouillier, Grace Younes. ${L}^{\infty}$-norm computation for linear time-invariant systems depending on parameters. Maple Transactions, 4 (1), pp. 18, 2024. HAL PDF DOI arXiv

2023

• Alexandre Lê, Damien Chablat, Guillaume Rance, Fabrice Rouillier. On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators. Maple Transactions, 3 (2), 2023. HAL PDF DOI

2022

• Daouda Niang Diatta, Sény Diatta, Fabrice Rouillier, Marie-Françoise Roy, Michael Sagraloff. Bounds for polynomials on algebraic numbers and application to curve topology. Discrete and Computational Geometry, 67, pp. 631–697, 2022. HAL PDF DOI arXiv
• Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos. PTOPO: Computing the Geometry and the Topology of Parametric Curves. Journal of Symbolic Computation, 2022. HAL PDF DOI arXiv

2021

• Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier, Grace Younes. Computation of the $\mathcal{L} \infty$ -norm of finite-dimensional linear systems. Communications in Computer and Information Science, 1414, pp. 119-136, 2021. HAL PDF DOI

2020

• Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos. PTOPO: A Maple package for the topology of parametric curves. ACM Communications in Computer Algebra, 54 (2), pp. 49-52, 2020. HAL PDF DOI

2019

• Yacine Mohamed Bouzidi, Alban Quadrat, Fabrice Rouillier. Certified Non-conservative Tests for the Structural Stability of Discrete Multidimensional Systems. Multidimensional Systems and Signal Processing, 30 (3), pp. 31, 2019. HAL PDF DOI

2018

• Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier, Cuong Tran. Computing Chebyshev knot diagrams. Journal of Symbolic Computation, 86, pp. 21, 2018. HAL PDF DOI arXiv
• Ranjan Jha, Damien Chablat, Luc Baron, Fabrice Rouillier, Guillaume Moroz. Workspace, Joint space and Singularities of a family of Delta-Like Robot. Mechanism and Machine Theory, 127, pp. 73-95, 2018. HAL PDF DOI

2017

• Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate triangular decompositions in the presence of asymptotes. Journal of Symbolic Computation, 82, pp. 123 - 133, 2017. HAL PDF DOI

2016

• Elisha Falbel, Antonin Guilloux, Pierre-Vincent Koseleff, Fabrice Rouillier, Morwen Thistlethwaite. Character Varieties For SL(3,C): The Figure Eight Knot. Experimental Mathematics, 25 (2), pp. 17, 2016. HAL DOI arXiv
• Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, Michael Sagraloff. Solving bivariate systems using Rational Univariate Representations. Journal of Complexity, 37, pp. 34--75, 2016. HAL PDF DOI

2015

• Elisha Falbel, Pierre-Vincent Koseleff, Fabrice Rouillier. Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity. Geometriae Dedicata, 177 (1), pp. 52, 2015. HAL DOI arXiv
• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms and Rational Univariate Representations of bivariate systems. Journal of Symbolic Computation, 68 (0), pp. 84-119, 2015. HAL PDF DOI

2013

• Nicolas Bergeron, Antonin Guilloux, Elisha Falbel, Pierre-Vincent Koseleff, Fabrice Rouillier. Local rigidity for SL (3,C) representations of 3-manifolds groups. Experimental Mathematics, 22 (4), pp. 10, 2013. HAL PDF DOI

2012

• Montserrat Manubens, Guillaume Moroz, Damien Chablat, Philippe Wenger, Fabrice Rouillier. Cusp Points in the Parameter Space of Degenerate 3-RPR Planar Parallel Manipulators. Journal of Mechanisms and Robotics, pp. 1-10, 2012. HAL PDF arXiv

2010

• Guillaume Moroz, Fabrice Rouillier, Damien Chablat, Philippe Wenger. On the determination of cusp points of 3-R\underline{P}R parallel manipulators. Mechanism and Machine Theory, 45 (11), pp. 1555-1567, 2010. HAL PDF DOI arXiv
• Jinsan Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. P. Tsigaridas. On the topology of real algebraic plane curves. Mathematics in Computer Science, 4 (1), pp. 113-137, 2010. HAL PDF DOI
• Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier. The first rational Chebyshev knots. Journal of Symbolic Computation, 45 (12), pp. 1341-1358, 2010. HAL PDF DOI arXiv

2007

• Gu Nong, Xiang Yong, Fabrice Rouillier, Zhiqiang Cao. Comments on A blind Signal Separation Method for Multiuser Communications. IEEE Transactions on Signal Processing, 55 (5), pp. 2355-2356, 2007. HAL DOI
• Richard J. Cameron, Jean-Charles Faugère, Fabrice Rouillier, Fabien Seyfert. Exhaustive approach to the coupling matrix synthesis problem and application to the design of high degree asymmetric filters. International Journal of RF and Microwave Computer-Aided Engineering, 17 (1), pp. 4--12, 2007. HAL PDF DOI
• Daniel Lazard, Fabrice Rouillier. Solving parametric polynomial systems. Journal of Symbolic Computation, 42 (6), pp. 636-667, 2007. HAL DOI
• Gu Nong, Daniel Lazard, Fabrice Rouillier, Xiang Yong. Using computer algebra to certify the global convergence of a numerical optimization process. Mathematics in Computer Science, 1 (2), pp. 291-304, 2007. HAL DOI

2006

• Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. The implicit structure of ridges of a smooth parametric surface. Computer Aided Geometric Design, 23 (7), pp. 582-598, 2006. HAL PDF DOI

2005

• Nathalie Revol, Fabrice Rouillier. Motivations for an arbitrary precision interval arithmetic and the MPFI library. Reliable Computing, 11 (4), pp. 275-290, 2005. HAL DOI

2004

• Fabrice Rouillier, Paul Zimmermann. Efficient isolation of polynomial's real roots. Journal of Computational and Applied Mathematics, 162 (1), pp. 33-50, 2004. HAL DOI

2002

• Philippe Aubry, Fabrice Rouillier, Mohab Safey El Din. Real solving for positive dimensional systems. Journal of Symbolic Computation, 34 (6), pp. 543-560, 2002. HAL DOI

2000

• Fabrice Rouillier, Marie-Françoise Roy, Mohab Safey El Din. Finding at least one point in each connected component of a real algebraic set defined by a single equation. Journal of Complexity, 16 (4), pp. 716-750, 2000. HAL DOI

1999

• Fabrice Rouillier. Solving Zero-Dimensional Systems through the Rational Univariate Representation. Applicable Algebra in Engineering, Communication and Computing, 9 (5), pp. 433-461, 1999. HAL DOI

1998

• Jean-Charles Faugère, Francois Moreau de Saint Martin, Fabrice Rouillier. Design of regular nonseparable bidimensional wavelets using Grobner basis techniques. IEEE Transactions on Signal Processing, 46 (4), pp. 845-856, 1998. HAL DOI

1995

• Fabrice Rouillier. Des formules de Bareiss à la réduction des formes quadratiques. Notes aux comptes rendus de l'académie des sciences, 320, pp. 1273-1278, 1995. HAL

2025

• Alexander Demin, Christina Katsamaki, Fabrice Rouillier. Some Computational Tools for Solving a Selection of Problems in Control Theory. SSSC 2025 - 9th IFAC Symposium on System Structure and Control, Gif -sur-Yvette, 2025. HAL PDF DOI
• Grace Younes, Alban Quadrat, Fabrice Rouillier. Symbolic and Numerical Tools for L∞-Norm Calculation. SSSC 2025 - 9th IFAC Symposium on System Structure and Control, Gif -sur-Yvette, 2025. HAL PDF DOI

2024

• Alexandre Lê, Fabrice Rouillier, Guillaume Rance, Damien Chablat. Certified Kinematic Tools for the Design and Control of Parallel Robots (Extended abstract). Mechanism and Machine Theory Symposium, Guimarães, 2024. HAL PDF
• Alexandre Lê, Guillaume Rance, Fabrice Rouillier, Damien Chablat. Inertial line-of-sight stabilization using a 3-dof spherical parallel manipulator with coaxial input shafts. OPTRO2024 - 11th International Symposium on Optronics in defence & security, Bordeaux, 2024. HAL PDF

2023

• Christina Katsamaki, Fabrice Rouillier. On Isolating Roots in a Multiple Field Extension. ISSAC '23: 2023 International Symposium on Symbolic and Algebraic Computation, Tromso, 2023. HAL PDF DOI arXiv

2020

• Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier, Grace Younes. Computation of the $\mathcal{L}_{\infty}$-norm of finite-dimensional linear systems. Maple Conference, Waterloo, 2020. HAL
• Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos. On the Geometry and the Topology of Parametric Curves. ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Kalamata / Virtual, 2020. HAL PDF

2019

• Yacine Bouzidi, Thomas Cluzeau, Alban Quadrat, Fabrice Rouillier. On the effective computation of stabilizing controllers of 2D systems. Maple Conference, Waterloo, 2019. HAL PDF DOI

2017

• Guillaume Rance, Yacine Bouzidi, Alban Quadrat, Arnaud Quadrat, Fabrice Rouillier. Explicit H∞ controllers for 4th order single-input single-output systems with parameters and their applications to the two mass-spring system with damping. IFAC 2017 Workshop Congress, Toulouse, 2017. HAL

2016

• Yacine Bouzidi, Fabrice Rouillier. Certified Algorithms for proving the structural stability of two dimensional systems possibly with parameters. MNTS 2016 - 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, 2016. HAL PDF
• Alexander Kobel, Fabrice Rouillier, Michael Sagraloff. Computing Real Roots of Real Polynomials ... and now For Real!. ISSAC '16 Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, Waterloo, 2016. HAL DOI arXiv
• Jan Draisma, Giorgio Ottaviani, Fabrice Rouillier. Foreword of MEGA 2015. MEGA'2015 (Special Issue), Trento, 2016. HAL
• Ranjan Jha, Damien Chablat, Fabrice Rouillier, Guillaume Moroz. Influence of the trajectory planning on the accuracy of the orthoglide 5-axis. ASME International Design Engineering Technical Conference and the Computer and Information in Engineering Conference (IDETC/CIE), Charlotte, NC, 2016. HAL PDF

2015

• Ranjan Jha, Damien Chablat, Fabrice Rouillier, Guillaume Moroz. An algebraic method to check the singularity-free paths for parallel robots. International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Boston, 2015. HAL PDF arXiv
• Youcef Bouzidi, Alban Quadrat, Fabrice Rouillier. Computer algebra methods for testing the structural stability of multidimensional systems. IEEE 9th International Workshop on Multidimensional (nD) Systems, Vila Real, 2015. HAL DOI
• Pierre-Vincent Koseleff, Fabrice Rouillier, Cuong Tran. On the sign of a trigonometric expression. ISSAC ' 15, Bath, 2015. HAL DOI
• Ranjan Jha, Damien Chablat, Fabrice Rouillier, Guillaume Moroz. Workspace and Singularity analysis of a Delta like family robot. 4th IFTOMM International Symposium on Robotics and Mechatronics, Poitiers, 2015. HAL PDF arXiv

2014

• Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier. Improved algorithm for computing separating linear forms for bivariate systems. ISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Kobe, 2014. HAL PDF arXiv
• Daouda Niang Diatta, Fabrice Rouillier, Marie-Françoise Roy. On the computation of the topology of plane curves. International Symposium on Symbolic and Algebraic Computation, Kobe, 2014. HAL PDF DOI
• Damien Chablat, Ranjan Jha, Fabrice Rouillier, Guillaume Moroz. Workspace and joint space analysis of the 3-RPS parallel robot. ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Buffalo, 2014. HAL PDF

2013

• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications. ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Boston, 2013. HAL PDF
• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating Linear Forms for Bivariate Systems. ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Boston, 2013. HAL PDF

2011

• P-V. Koseleff, D. Pecker, Fabrice Rouillier. Computing Chebyshev knots diagrams. MEGA 11, Unknown, 2011. HAL
• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. New bivariate system solver and topology of algebraic curves. 27th European Workshop on Computational Geometry - EuroCG 2011, Morschach, 2011. HAL PDF

2010

• Guillaume Moroz, Damien Chablat, Philippe Wenger, Fabrice Rouillier. Cusp points in the parameter space of RPR-2PRR parallel manipulators. 3rd European Conference on Mechanism Science : EUCOMES 2010, Cluj-Napoca, 2010. HAL PDF DOI arXiv
• Fabrice Rouillier. On Solving Systems of Bivariate Polynomials. Mathematical Software - ICMS 2010, Kobe, 2010. HAL DOI

2009

• Jinsan Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. P. Tsigaridas. On the topology of planar algebraic curves. 25th annual symposium on Computational geometry - SCG 2009, Aarhus, 2009. HAL PDF DOI
• Fabrice Rouillier, Rong Xiao. On Using Triangular Decomposition for Solving Parametric Polynomial Systems. MACIS'09, Fukuoka, 2009. HAL

2008

• Jean-Charles Faugère, Guillaume Moroz, Fabrice Rouillier, Mohab Safey El Din. Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities. ISSAC 2008 - 21st International Symposium on Symbolic and Algebraic Computation, Hagenberg, 2008. HAL DOI
• Guillaume Moroz, Fabrice Rouillier. Explicit classification of the 9 first Haas parametric systems. ADG 2008 --- Seventh International Workshop on Automated Deduction in Geometry, Shanghai, 2008. HAL
• Jinsan Cheng, Sylvain Lazard, Luis Mariano Peñaranda, Marc Pouget, Fabrice Rouillier, Elias P. P. Tsigaridas. On The Topology of Planar Algebraic Curves. 24th European Workshop on Computational Geometry - EuroCG 2008, Nancy, 2008. HAL PDF

2006

• Nong Gu, Daniel Lazard, Fabrice Rouillier, Yong Xiang. Using Computer Algebra to Certify the Global Convergence of a Numerical Optimization Process. Mathematical Aspects of Computer and Information Sciences, Beijing, 2006. HAL

2005

• Jean-Charles Faugère, Fabrice Rouillier. Outils de calcul formel performants pour la résolution de certains problèmes en robotique. Journées Nationales de Recherche en Robotique, Lorient, 2005. HAL
• Fabrice Rouillier, Jean-Charles Faugère. Polynomial System Solving for Industrial Problems. SIAM Conference on Mathematics for Industry, Detroit, MI, 2005. HAL
• Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. Ridges and umbilics of polynomial parametric surfaces. Computational Methods for Algebraic Spline Surfaces II - COMPASS II, Oslo, 2005. HAL

2004

• Colas Le Guernic, Fabrice Rouillier, Mohab Safey El Din. Computing sampling points in a semi-algebraic set defined by non-strict inequalities, Application to Pattern-Matching Problems. EACA 2004 - Encuentro de Álgebra Computacional y Aplicaciones, Santander, 2004. HAL
• Fabrice Rouillier. Exact Computations and Real Roots of Polynomial Systems. Algorithmic, Combinatorial and Applicable Real Algebraic Geometry, Berkeley, CA, 2004. HAL
• Fabrice Rouillier. On the Rational Univariate Representation. International Conference on Polynomial System Solving, Paris, 2004. HAL
• Fabrice Rouillier. Real roots of parametric polynomial systems.. The Eighth International Workshop on Mathematics Mechanization, Beijing, 2004. HAL
• Fabrice Rouillier. Real roots of parametric systems of polynomial equalities and inequalities. Workshop on Real Computation and Complexity, Rennes, 2004. HAL
• Daniel Lazard, Fabrice Rouillier. Solving Parametric Polynomial Systems. International Conference on Polynomial System Solving, Paris, 2004. HAL

2003

• Fabrice Rouillier. Efficient real solutions and robotics. 1st EMS - SMAI - SMF Joint Conference Applied Mathematics and Applications of Mathematics, Nice, 2003. HAL

2002

• Nathalie Revol, Fabrice Rouillier. A library for arbitrary precision interval arithmetic. 10th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (scan2002), Paris, 2002. HAL
• Gabriel dos Reis, Bernard Mourrain, Philippe Trebuchet, Fabrice Rouillier. An environment for Symbolic and Numeric Computation. International Congress of Mathematical Software - ICMS'2002, Beijing, 2002. HAL
• Fabrice Rouillier. Computational problems related to positive polynomials. Workshop on positive polynomials, Oberwolfach, 2002. HAL
• Nathalie Revol, Fabrice Rouillier. Motivations for an arbitrary precision interval arithmetic and the mpfi library. SIAM Workshop on Validated Computing 2002, Toronto, 2002. HAL
• Fabrice Rouillier. Outils pour l'Etude des Zéros Réels de Systèmes Algébriques. Journées de Géométrie Algorithmique - JGA'02, Obernai, France, 2002. HAL
• Fabrice Rouillier. Outils pour l'étude des zéros réels de systèmes algébriques. Colloque Mathématiques Effectives, Poitiers, France, 2002. HAL
• Fabrice Rouillier. Real Solving and parallel robots. Workshop on Computations and Applications in RAAG 2002, Santander, Spain, 2002. HAL
• Solen Corvez, Fabrice Rouillier. Using computer algebra tools to classify serial manipulators. Fourth International Workshop on Automated Deduction in Geometry - ADG 2002, Hagenberg, 2002. HAL DOI

2001

• Fabrice Rouillier. Calcul formel et calcul scientifique. Congrès national de mathématiques appliquées et industrielles (SMAI), Club Med de Pompadour, Corrèze, 2001. HAL
• Fabrice Rouillier. Efficient Agorithms Based on the Critical Point Method. DIMACS Workshop on Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, Rutgers, 2001. HAL

2000

• Fabrice Rouillier, Mohab Safey El Din, Eric Schost. Solving the Birkhoff interpolation problem via the critical point method: an experimental study. Third International Workshop on Automated Deduction in Geometry - ADG'2000, Zurich, 2000. HAL DOI
• Fabrice Rouillier. Well-defined semantics for floating-point computations: the MPFR library. MuPAD Workshop 2000, Unknown, 2000. HAL

1999

• Jean-Charles Faugère, Fabrice Rouillier. Design of filter and filter banks using dedicated Computer Algebra Tools. International Conference on Applications of Computer Algebra (ACA'99), Madrid, 1999. HAL
• Fabrice Rouillier. Real Solving of Polynomial Systems and Applications. ICIAM'99 - Edhimburg, Unknown, 1999. HAL
• Jean-Charles Faugère, Luc Rolland, Fabrice Rouillier. Using Computer algebra tools for off-line studies of parallel manipulators. International Conference on Applications of Computer Algebra (ACA'99), Madrid, 1999. HAL
• Michel Kern, Agany Oloui, Jean-Charles Faugère, Fabrice Rouillier. Using Groebner bases to compute higher order finite elements for mass lumping. Fourth International Congress on Industrial & Applied Mathematics - ICIAM'99, Edinburgh, 1999. HAL
• M. Kern, J.-C. Faugère, Fabrice Rouillier. Using Gröbner bases to compute higher order finite elements for ma\ss lumping. ICIAM'99, Edimburgh, Unknown, 1999. HAL

1998

• Fabrice Rouillier. Real roots of polynomial systems. Workshop on Parallel Symbolic Computation, MSRI - Berkeley, CA, 1998. HAL
• Fabrice Rouillier. Real Solving. ICM 1998 - International Congress of Mathematicians, Berlin, 1998. HAL

1997

• Fabrice Rouillier. Application of Modules (RealSolving/FRISCO). MuPAD Workshop 1997, Unknown, 1997. HAL
• Fabrice Rouillier, M.F. Roy. Polynomial system solving in practice. FoCM'97, Unknown, 1997. HAL

1995

• Fabrice Rouillier, G. Trujillo. PoSSo-RealSolving (Simultaneous Inequalities). Proceedings of the PoSSo-workshop on software, Unknown, 1995. HAL
• Fabrice Rouillier. PoSSo-RealSolving (zero-dimensional system of polynomials). Proceedings of the PoSSo-workshop on software, Unknown, 1995. HAL
• Fabrice Rouillier. Real roots counting for some robotics problems. Computational Kinematics'95, Nice (France), 1995. HAL PDF
• Fabrice Rouillier. Software for symbolic polynomial system solving: the PoSSo solver. ICIAM'95 - Hambourg, Unknown, 1995. HAL

2024

• Alexandre Lê, Guillaume Rance, Fabrice Rouillier, Arnaud Quadrat, Damien Chablat. On a Software Joint Velocity Limitation of a Spherical Parallel Manipulator with Coaxial Input Shafts. in Advances in Robot Kinematics, 2024. HAL PDF DOI

2020

• Yacine Bouzidi, Thomas Cluzeau, Alban Quadrat, Fabrice Rouillier. On the effective computation of stabilizing controllers of 2D systems. in Maple in Mathematics Education and Research, 2020. HAL
• Yacine Bouzidi, Fabrice Rouillier. Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural Stability. in Algebraic and Symbolic Computation Methods in Dynamical Systems, 2020. HAL PDF DOI
• Damien Chablat, Guillaume Moroz, Fabrice Rouillier, Philippe Wenger. Using Maple to analyse parallel robots. in Maple in Mathematics Education and Research, 2020. HAL PDF DOI

2017

• Jan Draisma, Giorgio Ottaviani, Fabrice Rouillier. Special Issue : MEGA 2015. Elsevier, 2017. HAL

2014

• Damien Chablat, Ranjan Jha, Fabrice Rouillier, Guillaume Moroz. Non-singular assembly mode changing trajectories in the workspace for the 3-RPS parallel robot. in Advances in Robot Kinematics, 2014. HAL PDF arXiv

2009

• Jean-Charles Faugère, Fabrice Rouillier. Polynomial system solving. Academic Press, Inc., 2009. HAL DOI

2008

• Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. Ridges and Umbilics of Polynomial Parametric Surfaces. in Geometric Modeling and Algebraic Geometry, 2008. HAL PDF DOI

2005

• Bernard Mourrain, Fabrice Rouillier, Marie-Françoise Roy. Bernstein's basis and real root isolation. in Combinatorial and Computational Geometry, 2005. HAL

2003

• Fabrice Rouillier. Efficient algorithms based on critical points method. in Algorithmic and Quantitative Real Algebraic Geometry, 2003. HAL

1998

• Fabrice Rouillier. Real Root Counting For some Robotics problems. in Solid Mechanics & its Applications, 1998. HAL
• Laureano Gonzalez-Vega, Fabrice Rouillier, Marie-Françoise Roy. Symbolic Recipes for Polynomial System Solving. in Some Tapas of Computer Algebra, 1998. HAL DOI
• Laureano Gonzalez-Vega, Fabrice Rouillier, Marie-Françoise Roy, Guadaluppe Trujillo. Symbolic Recipes for Real Solutions. in Some Tapas of Computer Algebra, 1998. HAL DOI

2017

• Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier. Certified Non-conservative Tests for the Structural Stability of Multidimensional Systems. 2017. HAL PDF

2015

• Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Bivariate Triangular Decompositions in the Presence of Asymptotes. 2015. HAL PDF
• Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz, Marc Pouget, Fabrice Rouillier, Michael Sagraloff. Improved algorithms for solving bivariate systems via Rational Univariate Representations. 2015. HAL PDF

2013

• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications. 2013. HAL PDF arXiv
• Yacine Bouzidi, Sylvain Lazard, Marc Pouget, Fabrice Rouillier. Separating linear forms for bivariate systems. 2013. HAL PDF arXiv

2007

• Fabrice Rouillier. Algorithmes pour l'étude des solutions réelles des systèmes polynomiaux. 2007. HAL PDF

2006

• Nong Gu, Daniel Lazard, Fabrice Rouillier, Yong Xiang. On dertermining mixing parameter of CC-CMA algorithm by solving semi-algebraic sets. 2006. HAL PDF
• Jean-Charles Faugère, Jean-Pierre Merlet, Fabrice Rouillier. On solving the direct kinematics problem for parallel robots. 2006. HAL PDF

2005

• Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. The implicit structure of ridges of a smooth parametric surface. 2005. HAL PDF
• Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier. Topologically certified approximation of umbilics and ridges on polynomial parametric surface. 2005. HAL PDF

2004

• Bernard Mourrain, Fabrice Rouillier, Marie-Françoise Roy. Bernstein's basis and real root isolation. 2004. HAL PDF
• Daniel Lazard, Fabrice Rouillier. Solving Parametric Polynomial Systems. 2004. HAL PDF

2002

• Nathalie Revol, Fabrice Rouillier. Motivations for an arbitrary precision interval arithmetic and the MPFI library. 2002. HAL PDF
• Solen Corvez, Fabrice Rouillier. Using computer algebra tools to classify serial cuspidal manipulators. 2002. HAL PDF

2001

• Fabrice Rouillier, Paul Zimmermann. Efficient Isolation of a Polynomial Real Roots. 2001. HAL PDF

2000

• Fabrice Rouillier, Marie-Françoise Roy, Mohab Safey El Din. Finding at least one point in each connected component of a real algebraic set defined by a single equation. 2000. HAL PDF
• Philippe Aubry, Fabrice Rouillier, Mohab Safey El Din. Real Solving for Positive Dimensional Systems. 2000. HAL PDF
• Philippe Aubry, Fabrice Rouillier, Mohab Safey El Din. Real Solving for positive dimensional systems. 2000. HAL PDF
• Luc Rolland, Fabrice Rouillier. Simulation de trajectoire avec erreurs de mesures et modélisation de commande. 2000. HAL
• Luc Rolland, Fabrice Rouillier. Simulation géométrique de trajectoire avec erreurs de données de CAO. 2000. HAL

1999

• Jean-Charles Faugère, Fabrice Rouillier. Dispositif d'échanges de données entre matériels informatiques. 1999. HAL
• Luc Rolland, Fabrice Rouillier. Simulation géométrique de trajectoire avec erreurs de mesures. 1999. HAL

1998

• Fabrice Rouillier. FRISCO Tools for the isolation of the Real Roots of dense univariate polynomials with integer coefficients. 1998. HAL
• Fabrice Rouillier. RealSolving. 1998. HAL
• Fabrice Rouillier. Solving Zero-dimensional Polynomial Systems through the Rational Univariate Representation. 1998. HAL PDF
• Fabrice Rouillier, M.F Roy, M. Safey. Testing emptyness of Real Hypersurfaces. 1998. HAL