Bernard Mourrain

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo: Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications. Computer-Aided Design 45(2): 395-404 (2013)

Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain: Voronoi diagrams of algebraic distance fields. Computer-Aided Design 45(2): 511-516 (2013)

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo: Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis. Computer-Aided Design 45(4): 812-821 (2013)

Bernard Mourrain, Nelly Villamizar: Homological techniques for the analysis of the dimension of triangular spline spaces. J. Symb. Comput. 50: 564-577 (2013)

Jean-Bernard Lasserre, Monique Laurent, Bernard Mourrain, Philipp Rostalski, Philippe Trebuchet: Moment matrices, border bases and real radical computation. J. Symb. Comput. 51: 63-85 (2013)

Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain: General tensor decomposition, moment matrices and applications. J. Symb. Comput. 52: 51-71 (2013)

Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan, Lihong Zhi: Preface. Theor. Comput. Sci. 479: 1-3 (2013)

Houssam Khalil, Bernard Mourrain, Michelle Schatzman: Superfast solution of Toeplitz systems based on syzygy reduction. CoRR abs/1301.5798 (2013)

Bernard Mourrain, Scott Schaefer: Geometric Modeling and Processing 2010. Computer Aided Geometric Design 29(5): 203 (2012)

Dmitry Berdinsky, Min-jae Oh, Tae-wan Kim, Bernard Mourrain: On the problem of instability in the dimension of a spline space over a T-mesh. Computers & Graphics 36(5): 507-513 (2012)

Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Rónyai, Ágnes Szántó: On the computation of matrices of traces and radicals of ideals. J. Symb. Comput. 47(1): 102-122 (2012)

Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta: On the isotopic meshing of an algebraic implicit surface. J. Symb. Comput. 47(8): 903-925 (2012)

Bernard Mourrain, Philippe Trebuchet: Border basis representation of a general quotient algebra. ISSAC 2012: 265-272

Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain: Yet another algorithm for generalized Voronoï Diagrams. SAC 2012: 109-110

Xiaohong Jia, Yi-King Choi, Bernard Mourrain, Wenping Wang: An algebraic approach to continuous collision detection for ellipsoids. Computer Aided Geometric Design 28(3): 164-176 (2011)

Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan: Preface. Theor. Comput. Sci. 412(16): 1443-1444 (2011)

Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas: On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Theor. Comput. Sci. 412(22): 2312-2330 (2011)

Guillaume Chèze, André Galligo, Bernard Mourrain, Jean-Claude Yakoubsohn: A subdivision method for computing nearest gcd with certification. Theor. Comput. Sci. 412(35): 4493-4503 (2011)

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo: Variational Harmonic Method for Parameterization of Computational Domain in 2D Isogeometric Analysis. CAD/Graphics 2011: 223-228

Madalina Hodorog, Bernard Mourrain, Josef Schicho: An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities. ICCSA (3) 2011: 121-131

Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain: Multihomogeneous polynomial decomposition using moment matrices. ISSAC 2011: 35-42

Angelos Mantzaflaris, Bernard Mourrain: Deflation and certified isolation of singular zeros of polynomial systems. ISSAC 2011: 249-256

Angelos Mantzaflaris, Bernard Mourrain: Deflation and Certified Isolation of Singular Zeros of Polynomial Systems. CoRR abs/1101.3140 (2011)

Angelos Mantzaflaris, Bernard Mourrain: A Subdivision Approach to Planar Semi-algebraic Sets. GMP 2010: 104-123

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo: Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis. GMP 2010: 236-254

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas: The DMM bound: multivariate (aggregate) separation bounds. ISSAC 2010: 243-250

Madalina Hodorog, Bernard Mourrain, Josef Schicho: A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity. SYNASC 2010: 21-28

Bernard Mourrain, Scott Schaefer, Guoliang Xu (Eds.): Advances in Geometric Modeling and Processing, 6th International Conference, GMP 2010, Castro Urdiales, Spain, June 16-18, 2010. Proceedings. Lecture Notes in Computer Science 6130, Springer 2010, isbn 978-3-642-13410-4

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas: The DMM bound: multivariate (aggregate) separation bounds. CoRR abs/1005.5610 (2010)

Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang: Using signature sequences to classify intersection curves of two quadrics. Computer Aided Geometric Design 26(3): 317-335 (2009)

Bernard Mourrain, Jean Pascal Pavone: Subdivision methods for solving polynomial equations. J. Symb. Comput. 44(3): 292-306 (2009)

Carlos D'Andrea, Bernard Mourrain: Special issue on symbolic and algebraic computation. J. Symb. Comput. 44(7): 701-702 (2009)

Lionel Alberti, Bernard Mourrain, Jean-Pierre Técourt: Isotopic triangulation of a real algebraic surface. J. Symb. Comput. 44(9): 1291-1310 (2009)

Laurent Busé, Bernard Mourrain: Explicit factors of some iterated resultants and discriminants. Math. Comput. 78(265): 345-386 (2009)

Dong-Ming Yan, Julien Wintz, Bernard Mourrain, Wenping Wang, Frédéric Boudon, Christophe Godin: Efficient and robust reconstruction of botanical branching structure from laser scanned points. CAD/Graphics 2009: 572-575

Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Rónyai, Ágnes Szántó: On the Computation of Matrices of Traces and Radicals of Ideals. CoRR abs/0901.2778 (2009)

Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas: Symmetric tensor decomposition. CoRR abs/0901.3706 (2009)

Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas: Continued Fraction Expansion of Real Roots of Polynomial Systems. CoRR abs/0905.3993 (2009)

Mariemi Alonso, Jérôme Brachat, Bernard Mourrain: The Hilbert scheme of points and its link with border basis. CoRR abs/0911.3503 (2009)

Lionel Alberti, Bernard Mourrain, Julien Wintz: Topology and arrangement computation of semi-algebraic planar curves. Computer Aided Geometric Design 25(8): 631-651 (2008)

Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain: Symmetric Tensors and Symmetric Tensor Rank. SIAM J. Matrix Analysis Applications 30(3): 1254-1279 (2008)

Laurent Busé, Mohamed Elkadi, Bernard Mourrain: Editorial. Theor. Comput. Sci. 392(1-3): 1-2 (2008)

Bernard Mourrain, Philippe Trebuchet: Stable normal forms for polynomial system solving. Theor. Comput. Sci. 409(2): 229-240 (2008)

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas: Real Algebraic Numbers: Complexity Analysis and Experimentation. Reliable Implementation of Real Number Algorithms 2008: 57-82

Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta: On the computation of the topology of a non-reduced implicit space curve. ISSAC 2008: 47-54

Itnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai: Moment matrices, trace matrices and the radical of ideals. ISSAC 2008: 125-132

Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta: On the Computation of the Topology of a Non-Reduced Implicit Space Curve. CoRR abs/0803.1110 (2008)

Bernard Mourrain, Philippe Trebuchet: Stable normal forms for polynomial system solving. CoRR abs/0812.0067 (2008)

Itnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai: Moment matrices, trace matrices and the radical of ideals. CoRR abs/0812.0088 (2008)

Monique Laurent, Bernard Mourrain: A Sparse Flat Extension Theorem for Moment Matrices. CoRR abs/0812.2563 (2008)

Lionel Alberti, Bernard Mourrain: Regularity Criteria for the Topology of Algebraic Curves and Surfaces. IMA Conference on the Mathematics of Surfaces 2007: 1-28

Lionel Alberti, Bernard Mourrain: Visualisation of Implicit Algebraic Curves. Pacific Conference on Computer Graphics and Applications 2007: 303-312

Julien Wintz, Bernard Mourrain: A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview. Pacific Conference on Computer Graphics and Applications 2007: 449-452

Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang: Signature Sequence of Intersection Curve of Two Quadrics for Exact Morphological Classification. CoRR abs/cs/0701121 (2007)

Bernard Mourrain, Nicos G. Pavlidis, Dimitris K. Tasoulis, Michael N. Vrahatis: Determining the number of real roots of polynomials through neural networks. Computers & Mathematics with Applications 51(3-4): 527-536 (2006)

Long Quan, Bill Triggs, Bernard Mourrain: Some Results on Minimal Euclidean Reconstruction from Four Points. Journal of Mathematical Imaging and Vision 24(3): 341-348 (2006)

Laurent Busé, Bernard Mourrain: Explicit factors of some iterated resultants and discriminants. CoRR abs/cs/0612050 (2006)

Bernard Mourrain, Jean-Pierre Técourt, Monique Teillaud: On the computation of an arrangement of quadrics in 3D. Comput. Geom. 30(2): 145-164 (2005)

Bernard Mourrain: Bezoutian and quotient ring structure. J. Symb. Comput. 39(3-4): 397-415 (2005)

Laurent Busé, Houssam Khalil, Bernard Mourrain: Resultant-Based Methods for Plane Curves Intersection Problems. CASC 2005: 75-92

Francois Anton, Ioannis Z. Emiris, Bernard Mourrain, Monique Teillaud: The Offset to an Algebraic Curve and an Application to Conics. ICCSA (1) 2005: 683-696

Bernard Mourrain: Generalized normal forms and polynomial system solving. ISSAC 2005: 253-260

Mohamed Elkadi, Bernard Mourrain: Residue and Implicitization Problem for Rational Surfaces. Appl. Algebra Eng. Commun. Comput. 14(5): 361-379 (2004)

Ioannis Z. Emiris, Bernard Mourrain, Victor Y. Pan: Preface: Algebraic and Numerical Algorithms. Theor. Comput. Sci. 315(2-3): 307-308 (2004)

Bernard Mourrain, Victor Y. Pan, Olivier Ruatta: Accelerated Solution of Multivariate Polynomial Systems of Equations. SIAM J. Comput. 32(2): 435-454 (2003)

Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud: Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Comput. Geom. 22(1-3): 119-142 (2002)

Bernard Mourrain, Michael N. Vrahatis, Jean-Claude Yakoubsohn: On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree. J. Complexity 18(2): 612-640 (2002)

Bernard Mourrain, Olivier Ruatta: Relations Between Roots and Coefficients, Interpolation and Application to System Solving. J. Symb. Comput. 33(5): 679-699 (2002)

Olivier Grellier, Pierre Comon, Bernard Mourrain, Philippe Trebuchet: Analytical blind channel identification. IEEE Transactions on Signal Processing 50(9): 2196-2207 (2002)

Didier Bondyfalat, Théodore Papadopoulo, Bernard Mourrain: Using Scene Constraints during the Calibration Procedure. ICCV 2001: 124-130

Bernard Mourrain, Victor Y. Pan: Multivariate Polynomials, Duality, and Structured Matrices. J. Complexity 16(1): 110-180 (2000)

Bernard Mourrain, Victor Y. Pan: Lifting/Descending Processes for Polynomial Zeros. J. Complexity 16(1): 265-273 (2000)

Laurent Busé, Mohamed Elkadi, Bernard Mourrain: Generalized Resultants over Unirational Algebraic Varieties. J. Symb. Comput. 29(4-5): 515-526 (2000)

Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud: Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Symposium on Computational Geometry 2000: 139-147

Bernard Mourrain, Philippe Trebuchet: Solving projective complete intersection faster. ISSAC 2000: 234-241

Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud: Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs. EuroCG 2000: 117-120

Ioannis Z. Emiris, Bernard Mourrain: Computer Algebra Methods for Studying and Computing Molecular Conformations. Algorithmica 25(2-3): 372-402 (1999)

Alexis Bonnecaze, Bernard Mourrain, Patrick Solé: Jacobi Polynomials, Type II Codes, and Designs. Des. Codes Cryptography 16(3): 215-234 (1999)

Ioannis Z. Emiris, Bernard Mourrain: Matrices in Elimination Theory. J. Symb. Comput. 28(1-2): 3-44 (1999)

Bernard Mourrain: A New Criterion for Normal Form Algorithms. AAECC 1999: 430-443

Mohamed Elkadi, Bernard Mourrain: A New Algorithm for the Geometric Decomposition of a Variety. ISSAC 1999: 9-16

Bernard Mourrain: Computing the Isolated Roots by Matrix Methods. J. Symb. Comput. 26(6): 715-738 (1998)

Didier Bondyfalat, Bernard Mourrain, Théodore Papadopoulo: An Application of Automatic Theorem Proving in Computer Vision. Automated Deduction in Geometry 1998: 207-231

Didier Bondyfalat, Bernard Mourrain, Victor Y. Pan: Controlled Iterative Methods for Solving Polynomial Systems. ISSAC 1998: 252-259

Bernard Mourrain, Victor Y. Pan: Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations. STOC 1998: 488-496

Alexis Bonnecaze, Patrick Solé, Christine Bachoc, Bernard Mourrain: Type II codes over Z₄. IEEE Transactions on Information Theory 43(3): 969-976 (1997)

Robert Fournier, Norbert Kajler, Bernard Mourrain: Visualization of Mathematical Surfaces: The IZIC Server Approach. J. Symb. Comput. 19(1-3): 159-173 (1995)

Olivier D. Faugeras, Bernard Mourrain: On the Geometry and Algebra of the Point and Line Correspondences Between N Images. ICCV 1995: 951-956

Robert Fournier, Norbert Kajler, Bernard Mourrain: IZIC: A Portable Language-Driven Tool for Mathematical Surfaces Visualization. DISCO 1993: 341-353

Bernard Mourrain: The 40 ``generic'' Positions of a Parallel Robot. ISSAC 1993: 173-182

Bernard Mourrain: Computable Identities in the Algebra of Formal Matrices. Theor. Comput. Sci. 98(1): 115-133 (1992)

Bernard Mourrain: Some Algebra with Formal Matrices. AAECC 1990: 234-248