Bernard Mourrain - researchr alias

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2011

A subdivision method for computing nearest gcd with certificationGuillaume Chèze, André Galligo, Bernard Mourrain, Jean-Claude Yakoubsohn. TCS, 412(35):4493-4503, 2011. [doi]

An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves SingularitiesMadalina Hodorog, Bernard Mourrain, Josef Schicho. iccsa 2011: 121-131 [doi]

An algebraic approach to continuous collision detection for ellipsoidsXiaohong Jia, Yi-King Choi, Bernard Mourrain, Wenping Wang. cagd, 28(3):164-176, 2011. [doi]

PrefaceIlias S. Kotsireas, Bernard Mourrain, Victor Y. Pan. TCS, 412(16):1443-1444, 2011. [doi]

On continued fraction expansion of real roots of polynomial systems, complexity and condition numbersAngelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas. TCS, 412(22):2312-2330, 2011. [doi]

Deflation and certified isolation of singular zeros of polynomial systemsAngelos Mantzaflaris, Bernard Mourrain. issac 2011: 249-256 [doi]

2010

The DMM bound: multivariate (aggregate) separation boundsIoannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas. issac 2010: 243-250 [doi]

A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve SingularityMadalina Hodorog, Bernard Mourrain, Josef Schicho. synasc 2010: 21-28 [doi]

A Subdivision Approach to Planar Semi-algebraic SetsAngelos Mantzaflaris, Bernard Mourrain. gmp 2010: 104-123 [doi]

Advances in Geometric Modeling and Processing, 6th International Conference, GMP 2010, Castro Urdiales, Spain, June 16-18, 2010. ProceedingsBernard Mourrain, Scott Schaefer, Guoliang Xu, editors, Volume 6130 of Lecture Notes in Computer Science, Springer, 2010. [doi]

Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric AnalysisGang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. gmp 2010: 236-254 [doi]

2009

Isotopic triangulation of a real algebraic surfaceLionel Alberti, Bernard Mourrain, Jean-Pierre Técourt. JSC, 44(9):1291-1310, 2009. [doi]

Special issue on symbolic and algebraic computationCarlos D Andrea, Bernard Mourrain. JSC, 44(7):701-702, 2009. [doi]

Explicit factors of some iterated resultants and discriminantsLaurent Busé, Bernard Mourrain. moc, 78(265):345-386, 2009. [doi]

Subdivision methods for solving polynomial equationsBernard Mourrain, Jean Pascal Pavone. JSC, 44(3):292-306, 2009. [doi]

Using signature sequences to classify intersection curves of two quadricsChanghe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang. cagd, 26(3):317-335, 2009. [doi]

2008

Topology and arrangement computation of semi-algebraic planar curvesLionel Alberti, Bernard Mourrain, Julien Wintz. cagd, 25(8):631-651, 2008. [doi]

EditorialLaurent Busé, Mohamed Elkadi, Bernard Mourrain. TCS, 392(1-3):1-2, 2008. [doi]

Symmetric Tensors and Symmetric Tensor RankPierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain. siammax, 30(3):1254-1279, 2008. [doi]

On the computation of the topology of a non-reduced implicit space curveDaouda Niang Diatta, Bernard Mourrain, Olivier Ruatta. issac 2008: 47-54 [doi]

Real Algebraic Numbers: Complexity Analysis and ExperimentationIoannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas. dagstuhl 2008: 57-82 [doi]

Moment matrices, trace matrices and the radical of idealsItnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai. issac 2008: 125-132 [doi]

Stable normal forms for polynomial system solvingBernard Mourrain, Philippe Trebuchet. TCS, 409(2):229-240, 2008. [doi]

2007

Regularity Criteria for the Topology of Algebraic Curves and SurfacesLionel Alberti, Bernard Mourrain. ima-ms 2007: 1-28 [doi]

Visualisation of Implicit Algebraic CurvesLionel Alberti, Bernard Mourrain. pg 2007: 303-312 [doi]

A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An OverviewJulien Wintz, Bernard Mourrain. pg 2007: 449-452 [doi]

2006

Determining the number of real roots of polynomials through neural networksBernard Mourrain, Nicos G. Pavlidis, Dimitris K. Tasoulis, Michael N. Vrahatis. cma, 51(3-4):527-536, 2006. [doi]

Some Results on Minimal Euclidean Reconstruction from Four PointsLong Quan, Bill Triggs, Bernard Mourrain. jmiv, 24(3):341-348, 2006. [doi]

2005

2004

Residue and Implicitization Problem for Rational SurfacesMohamed Elkadi, Bernard Mourrain. aaecc, 14(5):361-379, 2004. [doi]

Preface: Algebraic and Numerical AlgorithmsIoannis Z. Emiris, Bernard Mourrain, Victor Y. Pan. TCS, 315(2-3):307-308, 2004. [doi]

2003

Accelerated Solution of Multivariate Polynomial Systems of EquationsBernard Mourrain, Victor Y. Pan, Olivier Ruatta. siamcomp, 32(2):435-454, 2003. [doi]

2002

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

Relations Between Roots and Coefficients, Interpolation and Application to System SolvingBernard Mourrain, Olivier Ruatta. JSC, 33(5):679-699, 2002. [doi]

On the Complexity of Isolating Real Roots and Computing with Certainty the Topological DegreeBernard Mourrain, Michael N. Vrahatis, Jean-Claude Yakoubsohn. jc, 18(2):612-640, 2002. [doi]

2001

Using Scene Constraints during the Calibration ProcedureDidier Bondyfalat, Théodore Papadopoulo, Bernard Mourrain. iccv 2001: 124-130

2000

Generalized Resultants over Unirational Algebraic VarietiesLaurent Busé, Mohamed Elkadi, Bernard Mourrain. JSC, 29(4-5):515-526, 2000.

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

Algebraic methods and arithmetic filtering for exact predicates on circle arcsOlivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud. compgeom 2000: 139-147 [doi]

Lifting/Descending Processes for Polynomial ZerosBernard Mourrain, Victor Y. Pan. jc, 16(1):265-273, 2000. [doi]

Multivariate Polynomials, Duality, and Structured MatricesBernard Mourrain, Victor Y. Pan. jc, 16(1):110-180, 2000. [doi]

Solving projective complete intersection fasterBernard Mourrain, Philippe Trebuchet. issac 2000: 234-241 [doi]

1999

1998

1997

Type II codes over Z::4::Alexis Bonnecaze, Patrick Solé, Christine Bachoc, Bernard Mourrain. TIT, 43(3):969-976, 1997.

1995

On the Geometry and Algebra of the Point and Line Correspondences Between N ImagesOlivier D. Faugeras, Bernard Mourrain. iccv 1995: 951-956 [doi]

Visualization of Mathematical Surfaces: The IZIC Server ApproachRobert Fournier, Norbert Kajler, Bernard Mourrain. JSC, 19(1-3):159-173, 1995.

1993

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

The 40 generic Positions of a Parallel RobotBernard Mourrain. issac 1993: 173-182 [doi]

1992

Computable Identities in the Algebra of Formal MatricesBernard Mourrain. TCS, 98(1):115-133, 1992.

1990

Some Algebra with Formal MatricesBernard Mourrain. AAECC 1991: 234-248