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Bernard Mourrain: [Publications] [Author Rank by year] [Co-authors] [Prefers] [Cites] [Cited by]

Publications of Author

  1. Bernard Mourrain
    Some Algebra with Formal Matrices. [Citation Graph (0, 0)][DBLP]
    AAECC, 1990, pp:234-248 [Conf]
  2. Bernard Mourrain
    A New Criterion for Normal Form Algorithms. [Citation Graph (0, 0)][DBLP]
    AAECC, 1999, pp:430-443 [Conf]
  3. Didier Bondyfalat, Bernard Mourrain, Théodore Papadopoulo
    An Application of Automatic Theorem Proving in Computer Vision. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 1998, pp:207-231 [Conf]
  4. Laurent Busé, Houssam Khalil, Bernard Mourrain
    Resultant-Based Methods for Plane Curves Intersection Problems. [Citation Graph (0, 0)][DBLP]
    CASC, 2005, pp:75-92 [Conf]
  5. Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud
    Algebraic methods and arithmetic filtering for exact predicates on circle arcs. [Citation Graph (0, 0)][DBLP]
    Symposium on Computational Geometry, 2000, pp:139-147 [Conf]
  6. Robert Fournier, Norbert Kajler, Bernard Mourrain
    IZIC: A Portable Language-Driven Tool for Mathematical Surfaces Visualization. [Citation Graph (0, 0)][DBLP]
    DISCO, 1993, pp:341-353 [Conf]
  7. Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud
    Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs. [Citation Graph (0, 0)][DBLP]
    EWCG, 2000, pp:117-120 [Conf]
  8. Francois Anton, Ioannis Z. Emiris, Bernard Mourrain, Monique Teillaud
    The Offset to an Algebraic Curve and an Application to Conics. [Citation Graph (0, 0)][DBLP]
    ICCSA (1), 2005, pp:683-696 [Conf]
  9. Didier Bondyfalat, Théodore Papadopoulo, Bernard Mourrain
    Using Scene Constraints during the Calibration Procedure. [Citation Graph (0, 0)][DBLP]
    ICCV, 2001, pp:124-130 [Conf]
  10. Olivier D. Faugeras, Bernard Mourrain
    On the Geometry and Algebra of the Point and Line Correspondences Between N Images. [Citation Graph (0, 0)][DBLP]
    ICCV, 1995, pp:951-956 [Conf]
  11. Didier Bondyfalat, Bernard Mourrain, Victor Y. Pan
    Controlled Iterative Methods for Solving Polynomial Systems. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1998, pp:252-259 [Conf]
  12. Mohamed Elkadi, Bernard Mourrain
    A New Algorithm for the Geometric Decomposition of a Variety. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1999, pp:9-16 [Conf]
  13. Bernard Mourrain
    Generalized normal forms and polynomial system solving. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2005, pp:253-260 [Conf]
  14. Bernard Mourrain
    The 40 ``generic'' Positions of a Parallel Robot. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1993, pp:173-182 [Conf]
  15. Bernard Mourrain, Philippe Trebuchet
    Solving projective complete intersection faster. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2000, pp:234-241 [Conf]
  16. Bernard Mourrain, Victor Y. Pan
    Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations. [Citation Graph (0, 0)][DBLP]
    STOC, 1998, pp:488-496 [Conf]
  17. Mohamed Elkadi, Bernard Mourrain
    Residue and Implicitization Problem for Rational Surfaces. [Citation Graph (0, 0)][DBLP]
    Appl. Algebra Eng. Commun. Comput., 2004, v:14, n:5, pp:361-379 [Journal]
  18. Ioannis Z. Emiris, Bernard Mourrain
    Computer Algebra Methods for Studying and Computing Molecular Conformations. [Citation Graph (0, 0)][DBLP]
    Algorithmica, 1999, v:25, n:2-3, pp:372-402 [Journal]
  19. Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud
    Algebraic methods and arithmetic filtering for exact predicates on circle arcs. [Citation Graph (0, 0)][DBLP]
    Comput. Geom., 2002, v:22, n:1-3, pp:119-142 [Journal]
  20. Bernard Mourrain, Jean-Pierre Técourt, Monique Teillaud
    On the computation of an arrangement of quadrics in 3D. [Citation Graph (0, 0)][DBLP]
    Comput. Geom., 2005, v:30, n:2, pp:145-164 [Journal]
  21. Alexis Bonnecaze, Bernard Mourrain, Patrick Solé
    Jacobi Polynomials, Type II Codes, and Designs. [Citation Graph (0, 0)][DBLP]
    Des. Codes Cryptography, 1999, v:16, n:3, pp:215-234 [Journal]
  22. Bernard Mourrain, Victor Y. Pan
    Multivariate Polynomials, Duality, and Structured Matrices. [Citation Graph (0, 0)][DBLP]
    J. Complexity, 2000, v:16, n:1, pp:110-180 [Journal]
  23. Bernard Mourrain, Michael N. Vrahatis, Jean-Claude Yakoubsohn
    On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree. [Citation Graph (0, 0)][DBLP]
    J. Complexity, 2002, v:18, n:2, pp:612-640 [Journal]
  24. Bernard Mourrain, Victor Y. Pan
    Lifting/Descending Processes for Polynomial Zeros. [Citation Graph (0, 0)][DBLP]
    J. Complexity, 2000, v:16, n:1, pp:265-273 [Journal]
  25. Laurent Busé, Mohamed Elkadi, Bernard Mourrain
    Generalized Resultants over Unirational Algebraic Varieties. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2000, v:29, n:4-5, pp:515-526 [Journal]
  26. Ioannis Z. Emiris, Bernard Mourrain
    Matrices in Elimination Theory. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1999, v:28, n:1-2, pp:3-44 [Journal]
  27. Robert Fournier, Norbert Kajler, Bernard Mourrain
    Visualization of Mathematical Surfaces: The IZIC Server Approach. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1995, v:19, n:1-3, pp:159-173 [Journal]
  28. Bernard Mourrain
    Computing the Isolated Roots by Matrix Methods. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1998, v:26, n:6, pp:715-738 [Journal]
  29. Bernard Mourrain, Olivier Ruatta
    Relations Between Roots and Coefficients, Interpolation and Application to System Solving. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2002, v:33, n:5, pp:679-699 [Journal]
  30. Bernard Mourrain
    Bezoutian and quotient ring structure. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2005, v:39, n:3-4, pp:397-415 [Journal]
  31. Bernard Mourrain, Victor Y. Pan, Olivier Ruatta
    Accelerated Solution of Multivariate Polynomial Systems of Equations. [Citation Graph (0, 0)][DBLP]
    SIAM J. Comput., 2003, v:32, n:2, pp:435-454 [Journal]
  32. Ioannis Z. Emiris, Bernard Mourrain, Victor Y. Pan
    Preface: Algebraic and Numerical Algorithms. [Citation Graph (0, 0)][DBLP]
    Theor. Comput. Sci., 2004, v:315, n:2-3, pp:307-308 [Journal]
  33. Bernard Mourrain
    Computable Identities in the Algebra of Formal Matrices. [Citation Graph (0, 0)][DBLP]
    Theor. Comput. Sci., 1992, v:98, n:1, pp:115-133 [Journal]
  34. Alexis Bonnecaze, Patrick Solé, Christine Bachoc, Bernard Mourrain
    Type II codes over Z4. [Citation Graph (0, 0)][DBLP]
    IEEE Transactions on Information Theory, 1997, v:43, n:3, pp:969-976 [Journal]
  35. Lionel Alberti, Bernard Mourrain
    Regularity Criteria for the Topology of Algebraic Curves and Surfaces. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 2007, pp:1-28 [Conf]
  36. Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang
    Signature Sequence of Intersection Curve of Two Quadrics for Exact Morphological Classification [Citation Graph (0, 0)][DBLP]
    CoRR, 2007, v:0, n:, pp:- [Journal]
  37. Laurent Busé, Bernard Mourrain
    Explicit factors of some iterated resultants and discriminants [Citation Graph (0, 0)][DBLP]
    CoRR, 2006, v:0, n:, pp:- [Journal]

  38. Real Algebraic Numbers: Complexity Analysis and Experimentation. [Citation Graph (, )][DBLP]


  39. Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis. [Citation Graph (, )][DBLP]


  40. A Subdivision Approach to Planar Semi-algebraic Sets. [Citation Graph (, )][DBLP]


  41. On the computation of the topology of a non-reduced implicit space curve. [Citation Graph (, )][DBLP]


  42. Moment matrices, trace matrices and the radical of ideals. [Citation Graph (, )][DBLP]


  43. A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview. [Citation Graph (, )][DBLP]


  44. Visualisation of Implicit Algebraic Curves. [Citation Graph (, )][DBLP]


  45. Topology and arrangement computation of semi-algebraic planar curves. [Citation Graph (, )][DBLP]


  46. Using signature sequences to classify intersection curves of two quadrics. [Citation Graph (, )][DBLP]


  47. On the Computation of the Topology of a Non-Reduced Implicit Space Curve [Citation Graph (, )][DBLP]


  48. Stable normal forms for polynomial system solving [Citation Graph (, )][DBLP]


  49. Moment matrices, trace matrices and the radical of ideals [Citation Graph (, )][DBLP]


  50. A Sparse Flat Extension Theorem for Moment Matrices [Citation Graph (, )][DBLP]


  51. On the Computation of Matrices of Traces and Radicals of Ideals [Citation Graph (, )][DBLP]


  52. Symmetric tensor decomposition [Citation Graph (, )][DBLP]


  53. Continued Fraction Expansion of Real Roots of Polynomial Systems [Citation Graph (, )][DBLP]


  54. The Hilbert scheme of points and its link with border basis [Citation Graph (, )][DBLP]


  55. The DMM bound: multivariate (aggregate) separation bounds [Citation Graph (, )][DBLP]


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