Bernard Mourrain

According to our database, Bernard Mourrain authored at least 146 papers between 1990 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

From CAD to representations suitable for isogeometric analysis: a complete pipeline.

Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain, Sam Whyman, Mark Gammon

Eng. Comput., December, 2024

<i>G</i>¹ spline functions for point cloud fitting.

Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain

Appl. Math. Comput., January, 2024

2023

On the effective Putinar's Positivstellensatz and moment approximation.

Lorenzo Baldi, Bernard Mourrain

Math. Program., 2023

A certified iterative method for isolated singular roots.

Angelos Mantzaflaris, Bernard Mourrain, Ágnes Szántó

J. Symb. Comput., 2023

An algebraic framework for geometrically continuous splines.

Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar, Beihui Yuan

CoRR, 2023

2022

Tensor decomposition for learning Gaussian mixtures from moments.

Rima Khouja, Pierre-Alexandre Mattei, Bernard Mourrain

J. Symb. Comput., 2022

Flux-aligned quad mesh generation in magnetohydrodynamic simulation.

Meng Wu, Xuhui Wang, Boniface Nkonga, Bernard Mourrain, Gang Xu, Qian Ni, Yuan Liu

J. Comput. Phys., 2022

<i>G</i>¹ - Smooth biquintic approximation of Catmull-Clark subdivision surfaces.

Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain

Comput. Aided Geom. Des., 2022

2021

Computing the Topology of Voronoï Diagrams of Parallel Half-Lines.

Ibrahim Adamou, Bernard Mourrain

Math. Comput. Sci., 2021

Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms.

Bernard Mourrain, Simon Telen, Marc Van Barel

J. Symb. Comput., 2021

Newton-Type Methods For Simultaneous Matrix Diagonalization.

Rima Khouja, Bernard Mourrain, Jean-Claude Yakoubsohn

CoRR, 2021

Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension.

Deepesh Toshniwal, Bernard Mourrain, Thomas J. R. Hughes

Adv. Comput. Math., 2021

Computing Real Radicals by Moment Optimization.

Lorenzo Baldi, Bernard Mourrain

Proceedings of the ISSAC '21: International Symposium on Symbolic and Algebraic Computation, 2021

2020

Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids.

Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang

ACM Trans. Graph., 2020

Separation bounds for polynomial systems.

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas

J. Symb. Comput., 2020

A Riemannian Newton Optimization Framework for the Symmetric Tensor Rank Approximation Problem.

Rima Khouja, Houssam Khalil, Bernard Mourrain

CoRR, 2020

Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications.

Jin Xie, Jinlan Xu, Zhenyu Dong, Gang Xu, Chongyang Deng, Bernard Mourrain, Yongjie Jessica Zhang

Comput. Aided Geom. Des., 2020

Geometrically smooth spline bases for data fitting and simulation.

Ahmed Blidia, Bernard Mourrain, Gang Xu

Comput. Aided Geom. Des., 2020

Punctual Hilbert scheme and certified approximate singularities.

Angelos Mantzaflaris, Bernard Mourrain, Ágnes Szántó

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2019

Cooperative Visual-Inertial Sensor Fusion: The Analytic Solution.

Agostino Martinelli, Alexander Antonio Oliva, Bernard Mourrain

IEEE Robotics Autom. Lett., 2019

Foreword on the special issue of JSC on the occasion of MEGA 2017.

Hannah Markwig, Bernard Mourrain, Giorgio Ottaviani

J. Symb. Comput., 2019

Enumerating the morphologies of non-degenerate Darboux cyclides.

Mingyang Zhao, Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang

Comput. Aided Geom. Des., 2019

Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony?

Cédric Josz, Jean-Bernard Lasserre, Bernard Mourrain

Adv. Comput. Math., 2019

2018

Solving Polynomial Systems via Truncated Normal Forms.

Simon Telen, Bernard Mourrain, Marc Van Barel

SIAM J. Matrix Anal. Appl., 2018

Polynomial-Exponential Decomposition From Moments.

Bernard Mourrain

Found. Comput. Math., 2018

Solving Polynomial Systems Efficiently and Accurately.

Bernard Mourrain, Simon Telen, Marc Van Barel

CoRR, 2018

Truncated normal forms for solving polynomial systems.

Simon Telen, Bernard Mourrain, Marc Van Barel

ACM Commun. Comput. Algebra, 2018

Exact conversion from Bézier tetrahedra to Bézier hexahedra.

Gang Xu, Yaoli Jin, Zhoufang Xiao, Qing Wu, Bernard Mourrain, Timon Rabczuk

Comput. Aided Geom. Des., 2018

Axl, a Geometric Modeler for Semi-algebraic Shapes.

Emmanouil Christoforou, Angelos Mantzaflaris, Bernard Mourrain, Julien Wintz

Proceedings of the Mathematical Software - ICMS 2018, 2018

2017

On deflation and multiplicity structure.

Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó

J. Symb. Comput., 2017

Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization.

Gang Xu, Ming Li, Bernard Mourrain, Timon Rabczuk, Jinlan Xu, Stéphane P. A. Bordas

CoRR, 2017

Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis.

Meng Wu, Yicao Wang, Bernard Mourrain, Boniface Nkonga, Changzheng Cheng

Comput. Aided Geom. Des., 2017

G¹-smooth splines on quad meshes with 4-split macro-patch elements.

Ahmed Blidia, Bernard Mourrain, Nelly Villamizar

Comput. Aided Geom. Des., 2017

Efficient Certification of Numeric Solutions to Eigenproblems.

Joris van der Hoeven, Bernard Mourrain

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

Decomposition of Low Rank Multi-symmetric Tensor.

Jouhayna Harmouch, Bernard Mourrain, Houssam Khalil

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2017

Fast Algorithm for Border Bases of Artinian Gorenstein Algebras.

Bernard Mourrain

Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

2016

Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space.

Xiaohong Jia, Wenping Wang, Yi-King Choi, Bernard Mourrain, Changhe Tu

J. Symb. Comput., 2016

Border basis relaxation for polynomial optimization.

Marta Abril Bucero, Bernard Mourrain

J. Symb. Comput., 2016

Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology.

Bernard Mourrain, Raimundas Vidunas, Nelly Villamizar

Comput. Aided Geom. Des., 2016

Border Basis for Polynomial System Solving and Optimization.

Philippe Trébuchet, Bernard Mourrain, Marta Abril Bucero

Proceedings of the Mathematical Software - ICMS 2016, 2016

2015

Special issue on effective methods in algebraic computation.

Alicia Dickenstein, Jan Draisma, Bernard Mourrain

J. Symb. Comput., 2015

Efficient construction of multi-block volumetric spline parameterization by discrete mask method.

Gang Xu, Bernard Mourrain, Xiang-yang Wu, Long Chen, Kin-Chuen Hui

J. Comput. Appl. Math., 2015

Certifying Isolated Singular Points and their Multiplicity Structure.

Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

2014

On the dimension of spline spaces on planar T-meshes.

Bernard Mourrain

Math. Comput., 2014

Bounds on the Dimension of Trivariate Spline Spaces: A Homological Approach.

Bernard Mourrain, Nelly Villamizar

Math. Comput. Sci., 2014

Corrigendum to "Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method" [J. Comput. Phys. 252(2013) 275-289].

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

J. Comput. Phys., 2014

Dimensions and bases of hierarchical tensor-product splines.

Dmitry Berdinsky, Tae-wan Kim, Cesare Bracco, Durkbin Cho, Bernard Mourrain, Min-jae Oh, Sutipong Kiatpanichgij

J. Comput. Appl. Math., 2014

Continuous collision detection for composite quadric models.

Yi-King Choi, Wenping Wang, Bernard Mourrain, Changhe Tu, Xiaohong Jia, Feng Sun

Graph. Model., 2014

Toric border basis.

Bernard Mourrain, Philippe Trébuchet

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013

Preface.

Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan, Lihong Zhi

Theor. Comput. Sci., 2013

A polynomial approach for extracting the extrema of a spherical function and its application in diffusion MRI.

Aurobrata Ghosh, Elias P. Tsigaridas, Bernard Mourrain, Rachid Deriche

Medical Image Anal., 2013

Homological techniques for the analysis of the dimension of triangular spline spaces.

Bernard Mourrain, Nelly Villamizar

J. Symb. Comput., 2013

Moment matrices, border bases and real radical computation.

Jean-Bernard Lasserre, Monique Laurent, Bernard Mourrain, Philipp Rostalski, Philippe Trebuchet

J. Symb. Comput., 2013

General tensor decomposition, moment matrices and applications.

Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain

J. Symb. Comput., 2013

Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method.

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

J. Comput. Phys., 2013

Superfast solution of Toeplitz systems based on syzygy reduction

Houssam Khalil, Bernard Mourrain, Michelle Schatzman

CoRR, 2013

Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis.

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

Comput. Aided Des., 2013

Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications.

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

Comput. Aided Des., 2013

Voronoi diagrams of algebraic distance fields.

Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain

Comput. Aided Des., 2013

The geometry of sound-source localization using non-coplanar microphone arrays.

Xavier Alameda-Pineda, Radu Horaud, Bernard Mourrain

Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2013

2012

On the computation of matrices of traces and radicals of ideals.

Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Rónyai, Ágnes Szántó

J. Symb. Comput., 2012

On the isotopic meshing of an algebraic implicit surface.

Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta

J. Symb. Comput., 2012

On the problem of instability in the dimension of a spline space over a T-mesh.

Dmitry Berdinsky, Min-jae Oh, Tae-wan Kim, Bernard Mourrain

Comput. Graph., 2012

Geometric Modeling and Processing 2010.

Bernard Mourrain, Scott Schaefer

Comput. Aided Geom. Des., 2012

Yet another algorithm for generalized Voronoï Diagrams.

Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain

Proceedings of the ACM Symposium on Applied Computing, 2012

Border basis representation of a general quotient algebra.

Bernard Mourrain, Philippe Trebuchet

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

2011

On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers.

Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas

Theor. Comput. Sci., 2011

Preface.

Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan

Theor. Comput. Sci., 2011

A subdivision method for computing nearest gcd with certification.

Guillaume Chèze, André Galligo, Bernard Mourrain, Jean-Claude Yakoubsohn

Theor. Comput. Sci., 2011

Mathemagix: the quest of modularity and efficiency for symbolic and certified numeric computation?

Joris van der Hoeven, Grégoire Lecerf, Bernard Mourrain, Philippe Trébuchet, Jérémy Berthomieu, Daouda Niang Diatta, Angelos Mantzaflaris

ACM Commun. Comput. Algebra, 2011

An algebraic approach to continuous collision detection for ellipsoids.

Xiaohong Jia, Yi-King Choi, Bernard Mourrain, Wenping Wang

Comput. Aided Geom. Des., 2011

A construction of injective parameterizations of domains for isogeometric applications.

Thien Nguyen, Bernard Mourrain, André Galligo, Gang Xu

Proceedings of the SNC 2011, 2011

Deflation and certified isolation of singular zeros of polynomial systems.

Angelos Mantzaflaris, Bernard Mourrain

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

Multihomogeneous polynomial decomposition using moment matrices.

Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities.

Madalina Hodorog, Bernard Mourrain, Josef Schicho

Proceedings of the Computational Science and Its Applications - ICCSA 2011, 2011

Variational Harmonic Method for Parameterization of Computational Domain in 2D Isogeometric Analysis.

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

Proceedings of the 12th International Conference on Computer-Aided Design and Computer Graphics, 2011

2010

GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory.

Madalina Hodorog, Bernard Mourrain, Josef Schicho

ACM Commun. Comput. Algebra, 2010

A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity.

Madalina Hodorog, Bernard Mourrain, Josef Schicho

Proceedings of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2010

The DMM bound: multivariate (aggregate) separation bounds.

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis.

Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo

Proceedings of the Advances in Geometric Modeling and Processing, 2010

A Subdivision Approach to Planar Semi-algebraic Sets.

Angelos Mantzaflaris, Bernard Mourrain

Proceedings of the Advances in Geometric Modeling and Processing, 2010

2009

Explicit factors of some iterated resultants and discriminants.

Laurent Busé, Bernard Mourrain

Math. Comput., 2009

Subdivision methods for solving polynomial equations.

Bernard Mourrain, Jean Pascal Pavone

J. Symb. Comput., 2009

Special issue on symbolic and algebraic computation.

Carlos D'Andrea, Bernard Mourrain

J. Symb. Comput., 2009

Isotopic triangulation of a real algebraic surface.

Lionel Alberti, Bernard Mourrain, Jean-Pierre Técourt

J. Symb. Comput., 2009

The Hilbert scheme of points and its link with border basis

Mariemi Alonso, Jérôme Brachat, Bernard Mourrain

CoRR, 2009

Using signature sequences to classify intersection curves of two quadrics.

Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang

Comput. Aided Geom. Des., 2009

Continued fraction expansion of real roots of polynomial systems.

Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas

Proceedings of the Symbolic Numeric Computation, 2009

Experimental evaluation and cross-benchmarking of univariate real solvers.

Michael Hemmer, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos, Ioannis Z. Emiris, Menelaos I. Karavelas, Bernard Mourrain

Proceedings of the Symbolic Numeric Computation, 2009

Computing nearest Gcd with certification.

Guillaume Chèze, Jean-Claude Yakoubsohn, André Galligo, Bernard Mourrain

Proceedings of the Symbolic Numeric Computation, 2009

Curve/surface intersection problem by means of matrix representations.

Thang Luu Ba, Laurent Busé, Bernard Mourrain

Proceedings of the Symbolic Numeric Computation, 2009

Symmetric tensor decomposition.

Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas

Proceedings of the 17th European Signal Processing Conference, 2009

Efficient and robust reconstruction of botanical branching structure from laser scanned points.

Dong-Ming Yan, Julien Wintz, Bernard Mourrain, Wenping Wang, Frédéric Boudon, Christophe Godin

Proceedings of the 11th International Conference on Computer-Aided Design and Computer Graphics, 2009

2008

Stable normal forms for polynomial system solving.

Bernard Mourrain, Philippe Trebuchet

Theor. Comput. Sci., 2008

Editorial.

Laurent Busé, Mohamed Elkadi, Bernard Mourrain

Theor. Comput. Sci., 2008

Symmetric Tensors and Symmetric Tensor Rank.

Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain

SIAM J. Matrix Anal. Appl., 2008

A Sparse Flat Extension Theorem for Moment Matrices

Monique Laurent, Bernard Mourrain

CoRR, 2008

Computing a rational in between.

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas

ACM Commun. Comput. Algebra, 2008

Topology and arrangement computation of semi-algebraic planar curves.

Lionel Alberti, Bernard Mourrain, Julien Wintz

Comput. Aided Geom. Des., 2008

Moment matrices, trace matrices and the radical of ideals.

Itnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

On the computation of the topology of a non-reduced implicit space curve.

Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

Real Algebraic Numbers: Complexity Analysis and Experimentation.

Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas

Proceedings of the Reliable Implementation of Real Number Algorithms: Theory and Practice, 2008

Shape Interrogation.

Stefanie Hahmann, Alexander G. Belyaev, Laurent Busé, Gershon Elber, Bernard Mourrain, Christian Rössl

Proceedings of the Shape Analysis and Structuring, 2008

2007

Signature Sequence of Intersection Curve of Two Quadrics for Exact Morphological Classification

Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang

CoRR, 2007

A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview.

Julien Wintz, Bernard Mourrain

Proceedings of the 15th Pacific Conference on Computer Graphics and Applications, 2007

Visualisation of Implicit Algebraic Curves.

Lionel Alberti, Bernard Mourrain

Proceedings of the 15th Pacific Conference on Computer Graphics and Applications, 2007

Regularity Criteria for the Topology of Algebraic Curves and Surfaces.

Lionel Alberti, Bernard Mourrain

Proceedings of the Mathematics of Surfaces XII, 2007

2006

Some Results on Minimal Euclidean Reconstruction from Four Points.

Long Quan, Bill Triggs, Bernard Mourrain

J. Math. Imaging Vis., 2006

Determining the number of real roots of polynomials through neural networks.

Bernard Mourrain, Nicos G. Pavlidis, Dimitris K. Tasoulis, Michael N. Vrahatis

Comput. Math. Appl., 2006

Genericity And Rank Deficiency Of High Order Symmetric Tensors.

Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub

Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2005

Bezoutian and quotient ring structure.

Bernard Mourrain

J. Symb. Comput., 2005

On the computation of an arrangement of quadrics in 3D.

Bernard Mourrain, Jean-Pierre Técourt, Monique Teillaud

Comput. Geom., 2005

Generalized normal forms and polynomial system solving.

Bernard Mourrain

Proceedings of the Symbolic and Algebraic Computation, 2005

The Offset to an Algebraic Curve and an Application to Conics.

Francois Anton, Ioannis Z. Emiris, Bernard Mourrain, Monique Teillaud

Proceedings of the Computational Science and Its Applications, 2005

Resultant-Based Methods for Plane Curves Intersection Problems.

Laurent Busé, Houssam Khalil, Bernard Mourrain

Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

2004

Preface: Algebraic and Numerical Algorithms.

Ioannis Z. Emiris, Bernard Mourrain, Victor Y. Pan

Theor. Comput. Sci., 2004

Residue and Implicitization Problem for Rational Surfaces.

Mohamed Elkadi, Bernard Mourrain

Appl. Algebra Eng. Commun. Comput., 2004

2003

Accelerated Solution of Multivariate Polynomial Systems of Equations.

Bernard Mourrain, Victor Y. Pan, Olivier Ruatta

SIAM J. Comput., 2003

Circular Cylinders through Four or Five Points in Space.

Olivier Devillers, Bernard Mourrain, Franco P. Preparata, Philippe Trebuchet

Discret. Comput. Geom., 2003

2002

Analytical blind channel identification.

Olivier Grellier, Pierre Comon, Bernard Mourrain, Philippe Trebuchet

IEEE Trans. Signal Process., 2002

Relations Between Roots and Coefficients, Interpolation and Application to System Solving.

Bernard Mourrain, Olivier Ruatta

J. Symb. Comput., 2002

On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree.

Bernard Mourrain, Michael N. Vrahatis, Jean-Claude Yakoubsohn

J. Complex., 2002

Algebraic methods and arithmetic filtering for exact predicates on circle arcs.

Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud

Comput. Geom., 2002

2001

Using Scene Constraints during the Calibration Procedure.

Didier Bondyfalat, Théodore Papadopoulo, Bernard Mourrain

Proceedings of the Eighth International Conference On Computer Vision (ICCV-01), Vancouver, British Columbia, Canada, July 7-14, 2001, 2001

2000

Generalized Resultants over Unirational Algebraic Varieties.

Laurent Busé, Mohamed Elkadi, Bernard Mourrain

J. Symb. Comput., 2000

Lifting/Descending Processes for Polynomial Zeros.

Bernard Mourrain, Victor Y. Pan

J. Complex., 2000

Multivariate Polynomials, Duality, and Structured Matrices.

Bernard Mourrain, Victor Y. Pan

J. Complex., 2000

Solving projective complete intersection faster.

Bernard Mourrain, Philippe Trebuchet

Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, 2000

A symbolic-numeric silhouette algorithm.

Hirohisa Hirukawa, Bernard Mourrain, Yves Papegay

Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, 2000

1999

Matrices in Elimination Theory.

Ioannis Z. Emiris, Bernard Mourrain

J. Symb. Comput., 1999

Jacobi Polynomials, Type II Codes, and Designs.

Alexis Bonnecaze, Bernard Mourrain, Patrick Solé

Des. Codes Cryptogr., 1999

Computer Algebra Methods for Studying and Computing Molecular Conformations.

Ioannis Z. Emiris, Bernard Mourrain

Algorithmica, 1999

A New Algorithm for the Geometric Decomposition of a Variety.

Mohamed Elkadi, Bernard Mourrain

Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

A New Criterion for Normal Form Algorithms.

Bernard Mourrain

Proceedings of the Applied Algebra, 1999

1998

Computing the Isolated Roots by Matrix Methods.

Bernard Mourrain

J. Symb. Comput., 1998

Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations.

Bernard Mourrain, Victor Y. Pan

Proceedings of the Thirtieth Annual ACM Symposium on the Theory of Computing, 1998

Controlled Iterative Methods for Solving Polynomial Systems.

Didier Bondyfalat, Bernard Mourrain, Victor Y. Pan

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

An Application of Automatic Theorem Proving in Computer Vision.

Didier Bondyfalat, Bernard Mourrain, Théodore Papadopoulo

Proceedings of the Automated Deduction in Geometry, 1998

1997

Type II codes over Z₄.

Alexis Bonnecaze, Patrick Solé, Christine Bachoc, Bernard Mourrain

IEEE Trans. Inf. Theory, 1997

1996

Decomposition of quantics in sums of powers of linear forms.

Pierre Comon, Bernard Mourrain

Signal Process., 1996

1995

Visualization of Mathematical Surfaces: The IZIC Server Approach.

Robert Fournier, Norbert Kajler, Bernard Mourrain

J. Symb. Comput., 1995

On the Geometry and Algebra of the Point and Line Correspondences Between N Images.

Olivier D. Faugeras, Bernard Mourrain

Proceedings of the Procedings of the Fifth International Conference on Computer Vision (ICCV 95), 1995

1993

The 40 "generic" Positions of a Parallel Robot.

Bernard Mourrain

Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, 1993

IZIC: A Portable Language-Driven Tool for Mathematical Surfaces Visualization.

Robert Fournier, Norbert Kajler, Bernard Mourrain

Proceedings of the Design and Implementation of Symbolic Computation Systems, 1993

1992

Computable Identities in the Algebra of Formal Matrices.

Bernard Mourrain

Theor. Comput. Sci., 1992

1990

Some Algebra with Formal Matrices.

Bernard Mourrain

Proceedings of the Applied Algebra, 1990