Bernard Mourrain
153
Documents
Publications
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Computing real radicals by moment optimizationISSAC 2021 - 46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint-Pétersbourg, Russia. ⟨10.1145/3452143.3465541⟩
Conference papers
hal-03145501v2
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Punctual Hilbert Schemes and Certified Approximate SingularitiesISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. ⟨10.1145/3373207.3404024⟩
Conference papers
hal-02478768v2
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Axl, a geometric modeler for semi-algebraic shapesICMS 2018 - 6th International Conference on Mathematical Software, Jul 2018, Notre Dame, United States. pp.128-136, ⟨10.1007/978-3-319-96418-8_16⟩
Conference papers
hal-01848546v1
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Efficient certication of numeric solutions to eigenproblemsMACIS 2017 - 7th International Conference on Mathematical Aspects of Computer and Information Sciences, Nov 2017, Vienna, Austria. pp.81--94, ⟨10.1007/978-3-319-72453-9_6⟩
Conference papers
hal-01579079v1
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Geometric model for automated multi-objective optimization of foilsMarine 2017, May 2017, Nantes, France. pp.473-484
Conference papers
hal-01524287v1
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Fast algorithm for border bases of Artinian Gorenstein algebrasISSAC'17 -- International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. pp.333--340, ⟨10.1145/3087604.3087632⟩
Conference papers
hal-01515366v1
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Parametric shape modeler for hulls and appendagesCOMPIT'16, May 2016, Lecce, Italy. pp.255-263
Conference papers
hal-01373867v1
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Border Basis for Polynomial System Solving and Optimization ICMS 2016 - 5th International Conference on Mathematical Software, Jul 2016, Berlin, Germany. pp.212-220, ⟨10.1007/978-3-319-42432-3_27⟩
Conference papers
hal-01356869v1
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Certifying isolated singular points and their multiplicity structureISSAC'15, Jul 2015, Bath, United Kingdom. pp.213-220, ⟨10.1145/2755996.2756645⟩
Conference papers
hal-01107541v2
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Toric Border BasisISSAC'14 - International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan. pp.343-350, ⟨10.1145/2608628.2608652⟩
Conference papers
hal-00994683v1
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The Geometry of Sound-Source Localization using Non-Coplanar microphone ArraysWASPAA 2013 - IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, Oct 2013, New Paltz, United States. pp.1-4, ⟨10.1109/WASPAA.2013.6701896⟩
Conference papers
hal-00848876v1
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Bulbous Bow Shape Optimization5th International Conference on Computational Methods in Marine Engineering, May 2013, Hamburg, Germany
Conference papers
hal-00873272v1
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Border basis representation of a general quotient algebraInternational Conference on Symbolic and Algebraic Computation (ISSAC), Jul 2012, Grenoble, France. pp.265-272, ⟨10.1145/2442829.2442868⟩
Conference papers
hal-00709962v1
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Deflation and Certified Isolation of Singular Zeros of Polynomial SystemsInternational Symposium on Symbolic and Algebraic Computation (ISSAC), Jun 2011, San Jose, CA, United States. pp.249-256, ⟨10.1145/1993886.1993925⟩
Conference papers
inria-00556021v1
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An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities11th International Conference on Computational Science and Its Applications (ICCSA), Jun 2011, Santander, Spain. pp.121-131, ⟨10.1007/978-3-642-21931-3_10⟩
Conference papers
hal-00646566v1
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Multihomogeneous Polynomial Decomposition using Moment Matrices36th international symposium on Symbolic and algebraic computation (ISSAC 11), Jun 2011, San Jose, United States. pp.35-42, ⟨10.1145/1993886.1993898⟩
Conference papers
inria-00638837v1
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Optimal analysis-aware parameterization of computational domain in isogeometric analysisGMP, Jun 2010, Castro Urdiales, Spain. pp.236-254
Conference papers
inria-00440130v3
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A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve SingularityInternational Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Sep 2010, Timisoara, Romania. pp.21-28
Conference papers
inria-00542193v1
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The DMM bound: multivariate (aggregate) separation boundsProceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.243-250, ⟨10.1145/1837934.1837981⟩
Conference papers
inria-00393833v4
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A Subdivision Approach to Planar Semi-algebraic Sets6th International Conference, GMP, Jun 2010, Castro Urdiales, Spain. pp.104-123, ⟨10.1007/978-3-642-13411-1_8⟩
Conference papers
inria-00463491v2
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Efficient and robust reconstruction of botanical branching structure from laser scanned pointsCAD/Graphics 2009, Aug 2009, Yellow Mountain City, China. pp.572-575
Conference papers
inria-00436480v1
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Experimental evaluation and cross-benchmarking of univariate real solversInternational Workshop SNC, ACM, Aug 2009, Kyoto, Japan. pp.85-94, ⟨10.1145/1577190.1577202⟩
Conference papers
inria-00340887v2
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Continued Fraction Expansion of Real Roots of Polynomial SystemsSNC, conference on Symbolic-Numeric Computation, Aug 2009, Kyoto, Japan. pp.85-94, ⟨10.1145/1577190.1577207⟩
Conference papers
inria-00387399v2
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Computing Nearest Gcd with CertificationInternational Workshop Symbolic-Numeric Computation (SNC), Aug 2009, Kyoto, Japan. pp.29-34
Conference papers
inria-00437559v1
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Symmetric tensor decomposition17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
Conference papers
hal-00435908v1
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Curve/surface intersection problem by means of matrix representationsSNC, Aug 2009, Kyoto, Japan. pp.71-78, ⟨10.1145/1577190.1577205⟩
Conference papers
inria-00418403v1
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Real Algebraic Numbers: Complexity Analysis and ExperimentationsReliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
Conference papers
inria-00071370v1
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Moment matrices, trace matrices and the radical of idealsISSAC, Jul 2008, Linz, Austria. pp.125-132
Conference papers
inria-00343126v1
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On the Computation of the Topology of a Non-Reduced Implicit Space CurveISSAC, Jul 2008, Linz, Austria. pp.47-54, ⟨10.1145/1390768.1390778⟩
Conference papers
hal-00218271v1
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A polynomial based approach to extract the maxima of an antipodally symmetric spherical function and its application to extract fiber directions from the Orientation Distribution Function in Diffusion MRI11th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI), Sep 2008, New York, United States. p. 237-248
Conference papers
hal-00340600v1
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Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials.international seminar matrix methods and operator equations (MM&OE), Jul 2007, Moscou, Russia. pp.296-312
Conference papers
hal-00366292v1
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A subdivision arrangement algorithm for semi-algebraic curves: an overview15th Pacific Conference on Computer Graphics and Applications, Ron Goldman, Oct 2007, Lahaina, Maui, Hawaii, United States. pp.449-452, ⟨10.1109/ISBN0-7695-3009-5⟩
Conference papers
inria-00189560v1
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Visualisation of implicit algebraic curvesPacific Conference on Computer Graphics and Applications 2007, Ron Goldman, Oct 2007, Lahaina, Maui, Hawaii, United States. pp.303-312
Conference papers
inria-00175062v1
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Resultant-based methods for plane curves intersection problemsComputer Algebra in Scientific Computing (CASC), Sep 2005, Kalamata, Greece, pp.75-92
Conference papers
inria-00100288v1
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The Offset to an Algebraic Curve and an Application to ConicsInternational Conference on Computational Science and its Applications, May 2005, Singapore, Singapore. pp.683-696
Conference papers
inria-00350878v1
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Generalized normal forms and polynomial system solvingISSAC 2005 - International Symposium on Symbolic and Algebraic Computation , Jul 2005, Beijing, China. pp.253-260, ⟨10.1145/1073884.1073920⟩
Conference papers
inria-00070537v1
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An environment for Symbolic and Numeric ComputationInternational Congress of Mathematical Software - ICMS'2002, 2002, Beijing, China. pp.239-249
Conference papers
inria-00100984v1
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Algebraic methods and arithmetic filtering for exact predicates on circle arcsProceedings of the 16th Annual Symposium on Computational Geometry, 2000, Hong Kong, China. pp.139-147, ⟨10.1145/336154.336194⟩
Conference papers
hal-01179417v1
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Computational Algebraic Geometry and its ApplicationsLaurent Busé, Mohamed Elkadi, Bernard Mourrain. Elsevier, 392, pp.178, 2008, Theoretical Computer Sciences
Books
inria-00344404v1
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Special Issue on Symbolic and Algebraic ComputationC. D'andrea & B. Mourrain. Elsevier, 44, pp.135, 2008, 7, ⟨10.1016/j.jsc.2008.07.005⟩
Books
inria-00558470v1
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Introduction à la résolution des systèmes polynomiauxSpringer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
Books
inria-00170536v1
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Special Issue on Algebraic and Numerical AlgorithmsEmiris, I. and Mourrain, B. and Pan, Y. V. Elsevier, 315, pp.310, 2004
Books
inria-00170535v1
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Efficient Certification of Numeric Solutions to EigenproblemsMathematical Aspects of Computer and Information Sciences, pp.81-94, 2017, ⟨10.1007/978-3-319-72453-9_6⟩
Book sections
hal-02350517v1
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Singular Zeros of Polynomial SystemsSAGA – Advances in ShApes, Geometry, and Algebra. Geometry and Computing, vol 10., pp.77-103, 2014, ⟨10.1007/978-3-319-08635-4_5⟩
Book sections
hal-02958889v1
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Shape InterrogationLeila De Floriani, Michela Spagnuolo. Shape Analysis and Structuring, Springer, pp.1-51, 2008, Mathematics and Visualization, 978-3-540-33265-7. ⟨10.1007/978-3-540-33265-7_1⟩
Book sections
inria-00193551v1
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Pythagore's Dilemma, Symbolic-Numeric Computation, and the Border Basis MethodDongming Wang and Lihong Zhi. Symbolic-Numeric Computation, Birkhauser, pp.223--243, 2007, Trends in Mathematics
Book sections
inria-00137424v1
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SYNAPS: A library for dedicated applications in symbolic numeric computing,M.E. Stillman and N. Takayama and J. Verschelde. Software for algebraic geometry, 148, Springer, pp.81-110, 2007, IMA Volumes in Mathematics and its Applications
Book sections
inria-00178498v1
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Regularity criteria for the topology of algebraic curves and surfacesRalph Martin and Malcom Sabin and Joab Winkler. Mathematics of Surfaces XII, 4647, Springer, pp.1-28, 2007, LNCS, 0302-9743
Book sections
inria-00170886v1
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Biologie Moléculaire Structurale et GéométrieYves Gautier. La Science au Présent, Encyclopaedia Universalis, pp.128-131, 2007, 2-85229-514-8
Book sections
inria-00175688v1
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Subdivision Methods for the Topology of 2d and 3d Implicit CurvesBert Juetller and Ragni Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.199-214, 2007, 978-3-540-72184-0
Book sections
inria-00130216v1
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Meshing of SurfacesEffective Computational Geometry for Curves and Surfaces, Springer, pp.181-230, 2007, Mathematics and Visualization
Book sections
hal-00488274v1
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Uniqueness of Minimal Euclidean Reconstruction from 4 Points2001
Other publications
inria-00548269v1
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Exact Moment Representation in Polynomial Optimization2022
Preprints, Working Papers, ...
hal-03082531v4
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On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz2022
Preprints, Working Papers, ...
hal-03899373v1
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Polynomial spline spaces of non-uniform bi-degree on T-meshes: Combinatorial bounds on the dimension2019
Preprints, Working Papers, ...
hal-02067534v1
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Exact relaxation for polynomial optimization on semi-algebraic sets2014
Preprints, Working Papers, ...
hal-00846977v4
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Spline Spaces over Quadrangle Meshes with Complex Topologies2014
Preprints, Working Papers, ...
hal-00952455v1
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Unconstraint global polynomial optimization via Gradient Ideal2013
Preprints, Working Papers, ...
hal-00779666v3
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The Hilbert scheme of points and its link with border basis2010
Preprints, Working Papers, ...
inria-00433127v2
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