Fabrice Rouillier
Présentation
Publications
Publications
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Some Computational Tools for Solving a Selection of Problems in Control TheorySSSC 2025 - 9th IFAC Symposium on System Structure and Control, Jun 2025, Gif -sur-Yvette, France. pp.73 - 78, ⟨10.1016/j.ifacol.2025.09.570⟩ |
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Symbolic and Numerical Tools for L∞-Norm CalculationSSSC 2025 - 9th IFAC Symposium on System Structure and Control, Jun 2025, Gif -sur-Yvette, France. pp.202 - 207, ⟨10.1016/j.ifacol.2025.09.592⟩ |
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Inertial line-of-sight stabilization using a 3-dof spherical parallel manipulator with coaxial input shaftsOPTRO2024 - 11th International Symposium on Optronics in defence & security, Jan 2024, Bordeaux, France |
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Certified Kinematic Tools for the Design and Control of Parallel Robots (Extended abstract)Mechanism and Machine Theory Symposium, Jun 2024, Guimarães, Portugal |
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On Isolating Roots in a Multiple Field ExtensionISSAC '23: 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.363-371, ⟨10.1145/3597066.3597107⟩ |
Computation of the $\mathcal{L}_{\infty}$-norm of finite-dimensional linear systemsMaple Conference, Nov 2020, Waterloo, Canada |
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On the effective computation of stabilizing controllers of 2D systemsMaple Conference, Oct 2019, Waterloo, Canada. pp.19, ⟨10.1007/978-3-030-41258-6_3⟩ |
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On the Geometry and the Topology of Parametric CurvesISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece |
Explicit H∞ controllers for 4th order single-input single-output systems with parameters and their applications to the two mass-spring system with dampingIFAC 2017 Workshop Congress , Jul 2017, Toulouse, France |
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Foreword of MEGA 2015MEGA'2015 (Special Issue), Jun 2016, Trento, Italy |
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Computing Real Roots of Real Polynomials ... and now For Real!ISSAC '16 Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, Jul 2016, Waterloo, Canada. pp.7, ⟨10.1145/2930889.2930937⟩ |
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Influence of the trajectory planning on the accuracy of the orthoglide 5-axisASME International Design Engineering Technical Conference and the Computer and Information in Engineering Conference (IDETC/CIE), Aug 2016, Charlotte, NC, United States |
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Certified Algorithms for proving the structural stability of two dimensional systems possibly with parametersMNTS 2016 - 22nd International Symposium on Mathematical Theory of Networks and Systems, Jul 2016, Minneapolis, United States |
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On the sign of a trigonometric expressionISSAC ' 15, Jul 2015, Bath, United Kingdom. ⟨10.1145/2755996.2756664⟩ |
Computer algebra methods for testing the structural stability of multidimensional systemsIEEE 9th International Workshop on Multidimensional (nD) Systems, Sep 2015, Vila Real, Portugal. ⟨10.1109/nds.2015.7332633⟩ |
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Workspace and Singularity analysis of a Delta like family robot4th IFTOMM International Symposium on Robotics and Mechatronics, Jun 2015, Poitiers, France |
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An algebraic method to check the singularity-free paths for parallel robotsInternational Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States |
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Workspace and joint space analysis of the 3-RPS parallel robotASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2014, Buffalo, United States. pp.1-10 |
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On the computation of the topology of plane curvesInternational Symposium on Symbolic and Algebraic Computation, Kobe University, Jul 2014, Kobe, Japan. pp.130-137, ⟨10.1145/2608628.2608670⟩ |
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Improved algorithm for computing separating linear forms for bivariate systemsISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan |
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Separating Linear Forms for Bivariate SystemsISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124 |
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Rational Univariate Representations of Bivariate Systems and ApplicationsISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116 |
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New bivariate system solver and topology of algebraic curves27th European Workshop on Computational Geometry - EuroCG 2011, Mar 2011, Morschach, Switzerland |
Computing Chebyshev knots diagramsMEGA 11, 2011, Unknown, Unknown Region |
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On Solving Systems of Bivariate PolynomialsMathematical Software - ICMS 2010, Sep 2010, Kobe, Japan. pp.100-104, ⟨10.1007/978-3-642-15582-6_21⟩ |
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Cusp points in the parameter space of RPR-2PRR parallel manipulators3rd European Conference on Mechanism Science : EUCOMES 2010, Sep 2010, Cluj-Napoca, Romania. pp.29-37, ⟨10.1007/978-90-481-9689-0_4⟩ |
On Using Triangular Decomposition for Solving Parametric Polynomial SystemsMACIS'09, Dec 2009, Fukuoka, Japan. pp.1--1 |
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On the topology of planar algebraic curves25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩ |
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On The Topology of Planar Algebraic Curves24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216 |
Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalitiesISSAC 2008 - 21st International Symposium on Symbolic and Algebraic Computation, Jul 2008, Hagenberg, Austria. pp.79-86, ⟨10.1145/1390768.1390782⟩ |
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Explicit classification of the 9 first Haas parametric systemsADG 2008 --- Seventh International Workshop on Automated Deduction in Geometry, 2008, Shanghai, China. pp.1-1 |
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Using Computer Algebra to Certify the Global Convergence of a Numerical Optimization ProcessMathematical Aspects of Computer and Information Sciences, Jul 2006, Beijing, China. pp.100-112 |
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Outils de calcul formel performants pour la résolution de certains problèmes en robotiqueJournées Nationales de Recherche en Robotique, Oct 2005, Lorient, France. pp.89-99 |
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Polynomial System Solving for Industrial ProblemsSIAM Conference on Mathematics for Industry, Oct 2005, Detroit, MI, United States. pp.1-5 |
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Ridges and umbilics of polynomial parametric surfacesComputational Methods for Algebraic Spline Surfaces II - COMPASS II, Sep 2005, Oslo, Norway. pp.1-1 |
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Exact Computations and Real Roots of Polynomial SystemsAlgorithmic, Combinatorial and Applicable Real Algebraic Geometry, Apr 2004, Berkeley, CA, United States |
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Real roots of parametric systems of polynomial equalities and inequalitiesWorkshop on Real Computation and Complexity, 2004, Rennes, France |
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Real roots of parametric polynomial systems.The Eighth International Workshop on Mathematics Mechanization, Jun 2004, Beijing, China |
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Solving Parametric Polynomial SystemsInternational Conference on Polynomial System Solving, Nov 2004, Paris, France. pp.53-55 |
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Computing sampling points in a semi-algebraic set defined by non-strict inequalities, Application to Pattern-Matching ProblemsEACA 2004 - Encuentro de Álgebra Computacional y Aplicaciones, Jul 2004, Santander, Spain |
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On the Rational Univariate RepresentationInternational Conference on Polynomial System Solving, Nov 2004, Paris, France. pp.75--79 |
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Efficient real solutions and robotics1st EMS - SMAI - SMF Joint Conference Applied Mathematics and Applications of Mathematics, Feb 2003, Nice, France |
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An environment for Symbolic and Numeric ComputationInternational Congress of Mathematical Software - ICMS'2002, 2002, Beijing, China. pp.239-249 |
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Outils pour l'étude des zéros réels de systèmes algébriquesColloque Mathématiques Effectives, 2002, Poitiers, France |
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Outils pour l'Etude des Zéros Réels de Systèmes AlgébriquesJournées de Géométrie Algorithmique - JGA'02, 2002, Obernai, France |
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Computational problems related to positive polynomialsWorkshop on positive polynomials, 2002, Oberwolfach, Germany |
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Motivations for an arbitrary precision interval arithmetic and the mpfi librarySIAM Workshop on Validated Computing 2002, 2002, Toronto, Canada. pp.155-161 |
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Real Solving and parallel robotsWorkshop on Computations and Applications in RAAG 2002, 2002, Santander, Spain |
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A library for arbitrary precision interval arithmetic10th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (scan2002), 2002, Paris, France |
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Using computer algebra tools to classify serial manipulatorsFourth International Workshop on Automated Deduction in Geometry - ADG 2002, Sep 2002, Hagenberg, Austria. pp.31-43, ⟨10.1007/978-3-540-24616-9_3⟩ |
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Efficient Agorithms Based on the Critical Point MethodDIMACS Workshop on Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, Mar 2001, Rutgers, United States. pp.123-138 |
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Calcul formel et calcul scientifiqueCongrès national de mathématiques appliquées et industrielles (SMAI), May 2001, Club Med de Pompadour, Corrèze, France. pp.151-164 |
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Well-defined semantics for floating-point computations: the MPFR libraryMuPAD Workshop 2000, 2000, Unknown, Unknown Region |
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Solving the Birkhoff interpolation problem via the critical point method: an experimental studyThird International Workshop on Automated Deduction in Geometry - ADG'2000, Sep 2000, Zurich, Switzerland. pp.26-40, ⟨10.1007/3-540-45410-1_3⟩ |
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Using Gröbner bases to compute higher order finite elements for ma\ss lumpingICIAM'99, Edimburgh, 1999, Unknown, Unknown Region |
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Using Groebner bases to compute higher order finite elements for mass lumpingFourth International Congress on Industrial & Applied Mathematics - ICIAM'99, Jul 1999, Edinburgh, United Kingdom |
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Design of filter and filter banks using dedicated Computer Algebra ToolsInternational Conference on Applications of Computer Algebra (ACA'99), Jun 1999, Madrid, Spain |
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Real Solving of Polynomial Systems and ApplicationsICIAM'99 - Edhimburg, 1999, Unknown, Unknown Region |
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Using Computer algebra tools for off-line studies of parallel manipulatorsInternational Conference on Applications of Computer Algebra (ACA'99), Jun 1999, Madrid, Spain |
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Polynomial system solving in practiceFoCM'97, 1997, Unknown, Unknown Region |
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Application of Modules (RealSolving/FRISCO)MuPAD Workshop 1997, 1997, Unknown, Unknown Region |
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Software for symbolic polynomial system solving: the PoSSo solverICIAM'95 - Hambourg, 1995, Unknown, Unknown Region |
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PoSSo-RealSolving (zero-dimensional system of polynomials)Proceedings of the PoSSo-workshop on software, 1995, Unknown, Unknown Region |
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Real roots counting for some robotics problemsComputational Kinematics'95, Sep 1995, Nice (France), pp.73-82 |
PoSSo-RealSolving (Simultaneous Inequalities)Proceedings of the PoSSo-workshop on software, 1995, Unknown, Unknown Region |
Special Issue : MEGA 2015Elsevier, 79 (1), pp.196, 2017 |
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Polynomial system solvingAcademic Press, Inc., 44 (3), pp.1--221, 2009, 0747-7171. ⟨10.1016/j.jsc.2008.08.004⟩ |
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On a Software Joint Velocity Limitation of a Spherical Parallel Manipulator with Coaxial Input ShaftsJadran Lenarčič; Manfred Husty. Advances in Robot Kinematics, 31, Springer, pp.43 - 52, 2024, Springer Proceedings in Advanced Robotics, ⟨10.1007/978-3-031-64057-5_6⟩ |
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Using Maple to analyse parallel robotsJürgen Gerhard; Ilias Kotsireas. Maple in Mathematics Education and Research, Springer, Cham, pp.50-64, 2020, Maple in Mathematics Education and Research, 978-3-030-41257-9. ⟨10.1007/978-3-030-41258-6_4⟩ |
On the effective computation of stabilizing controllers of 2D systemsJürgen Gerhard, Ilias Kotsireas. Maple in Mathematics Education and Research, Maple in Mathematics Education and Research, Springer, pp.30-49, 2020, 978-3-030-41257-9 |
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Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural StabilityAlban Quadrat; Eva Zerz. Algebraic and Symbolic Computation Methods in Dynamical Systems, Springer, pp.203-237, 2020, ⟨10.1007/978-3-030-38356-5_8⟩ |
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Non-singular assembly mode changing trajectories in the workspace for the 3-RPS parallel robotJadran Lenarčič, Oussama Khatib. Advances in Robot Kinematics, Springer, pp.149 - 159, 2014, 978-3-319-06697-4 |
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Ridges and Umbilics of Polynomial Parametric SurfacesB. Juttler and R. Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.141--159, 2008, 978-3-540-72184-0. ⟨10.1007/978-3-540-72185-7_8⟩ |
Bernstein's basis and real root isolationCombinatorial and Computational Geometry, 52, Cambridge University Press, pp.459-478, 2005, MSRI Publications |
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Efficient algorithms based on critical points methodAlgorithmic and Quantitative Real Algebraic Geometry, 60, American Mathematical Society, pp.123--138, 2003, Discrete Mathematics and Theoretical Computer Science |
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Real Root Counting For some Robotics problemsMerlet, J.P. Solid Mechanics & its Applications, 9 p, 1998 |
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Symbolic Recipes for Real SolutionsCohen, A.M.; Cuypers, H.; Sterk, H. Some Tapas of Computer Algebra, 4, Springer, pp.121-167, 1998, Algorithms and Computation in Mathematics, 3-540-63480-0. ⟨10.1007/978-3-662-03891-8_6⟩ |
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Symbolic Recipes for Polynomial System SolvingA.M. Cohen, H. Cuypers and H. Sterk. Some Tapas of Computer Algebra, 4, Springer, pp.34-65, 1998, Algorithms and Computation in Mathematics, 3-540-63480-0. ⟨10.1007/978-3-662-03891-8_2⟩ |
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Algorithmes pour l'étude des solutions réelles des systèmes polynomiauxCalcul formel [cs.SC]. Université Pierre & Marie Curie - Paris 6, 2007 |
Dispositif d'échanges de données entre matériels informatiques1999 |
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RealSolving1998 |