Bernard Mourrain

ORCID

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 39

Top Venues

J. Symb. Comput.

Comput. Aided Geom. Des.

CoRR

ISSAC

Publications

Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain
spline functions for point cloud fitting. Appl. Math. Comput. 460 (2024)
Angelos Mantzaflaris, Bernard Mourrain, Ágnes Szántó
A certified iterative method for isolated singular roots. J. Symb. Comput. 115 (2023)
Lorenzo Baldi, Bernard Mourrain
On the effective Putinar's Positivstellensatz and moment approximation. Math. Program. 200 (1) (2023)
Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar, Beihui Yuan
An algebraic framework for geometrically continuous splines. CoRR (2023)
Rima Khouja, Pierre-Alexandre Mattei, Bernard Mourrain
Tensor decomposition for learning Gaussian mixtures from moments. J. Symb. Comput. 113 (2022)
Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain
- Smooth biquintic approximation of Catmull-Clark subdivision surfaces. Comput. Aided Geom. Des. 99 (2022)
Meng Wu, Xuhui Wang, Boniface Nkonga, Bernard Mourrain, Gang Xu, Qian Ni, Yuan Liu
Flux-aligned quad mesh generation in magnetohydrodynamic simulation. J. Comput. Phys. 466 (2022)
Ibrahim Adamou, Bernard Mourrain
Computing the Topology of Voronoï Diagrams of Parallel Half-Lines. Math. Comput. Sci. 15 (4) (2021)
Lorenzo Baldi, Bernard Mourrain
Computing Real Radicals by Moment Optimization. ISSAC (2021)
Deepesh Toshniwal, Bernard Mourrain, Thomas J. R. Hughes
Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension. Adv. Comput. Math. 47 (1) (2021)
Rima Khouja, Bernard Mourrain, Jean-Claude Yakoubsohn
Newton-Type Methods For Simultaneous Matrix Diagonalization. CoRR (2021)
Bernard Mourrain, Simon Telen, Marc Van Barel
Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms. J. Symb. Comput. 102 (2021)
Ahmed Blidia, Bernard Mourrain, Gang Xu
Geometrically smooth spline bases for data fitting and simulation. Comput. Aided Geom. Des. 78 (2020)
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas
Separation bounds for polynomial systems. J. Symb. Comput. 101 (2020)
Jin Xie, Jinlan Xu, Zhenyu Dong, Gang Xu, Chongyang Deng, Bernard Mourrain, Yongjie Jessica Zhang
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Comput. Aided Geom. Des. 80 (2020)
Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang
Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids. ACM Trans. Graph. 39 (3) (2020)
Angelos Mantzaflaris, Bernard Mourrain, Ágnes Szántó
Punctual Hilbert scheme and certified approximate singularities. ISSAC (2020)
Rima Khouja, Houssam Khalil, Bernard Mourrain
A Riemannian Newton Optimization Framework for the Symmetric Tensor Rank Approximation Problem. CoRR (2020)
Cédric Josz, Jean-Bernard Lasserre, Bernard Mourrain
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Adv. Comput. Math. 45 (3) (2019)
Hannah Markwig, Bernard Mourrain, Giorgio Ottaviani
Foreword on the special issue of JSC on the occasion of MEGA 2017. J. Symb. Comput. 91 (2019)
Agostino Martinelli, Alexander Antonio Oliva, Bernard Mourrain
Cooperative Visual-Inertial Sensor Fusion: The Analytic Solution. IEEE Robotics Autom. Lett. 4 (2) (2019)
Mingyang Zhao, Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang
Enumerating the morphologies of non-degenerate Darboux cyclides. Comput. Aided Geom. Des. 75 (2019)
Bernard Mourrain
Polynomial-Exponential Decomposition From Moments. Found. Comput. Math. 18 (6) (2018)
Gang Xu, Yaoli Jin, Zhoufang Xiao, Qing Wu, Bernard Mourrain, Timon Rabczuk
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Comput. Aided Geom. Des. 62 (2018)
Emmanouil Christoforou, Angelos Mantzaflaris, Bernard Mourrain, Julien Wintz
Axl, a Geometric Modeler for Semi-algebraic Shapes. ICMS (2018)
Bernard Mourrain, Simon Telen, Marc Van Barel
Solving Polynomial Systems Efficiently and Accurately. CoRR (2018)
Simon Telen, Bernard Mourrain, Marc Van Barel
Solving Polynomial Systems via Truncated Normal Forms. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Simon Telen, Bernard Mourrain, Marc Van Barel
Truncated normal forms for solving polynomial systems. ACM Commun. Comput. Algebra 52 (3) (2018)
Joris van der Hoeven, Bernard Mourrain
Efficient Certification of Numeric Solutions to Eigenproblems. MACIS (2017)
Meng Wu, Yicao Wang, Bernard Mourrain, Boniface Nkonga, Changzheng Cheng
Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Comput. Aided Geom. Des. 52 (2017)
Gang Xu, Ming Li, Bernard Mourrain, Timon Rabczuk, Jinlan Xu, Stéphane P. A. Bordas
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. CoRR (2017)
Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó
On deflation and multiplicity structure. J. Symb. Comput. 83 (2017)
Ahmed Blidia, Bernard Mourrain, Nelly Villamizar
-smooth splines on quad meshes with 4-split macro-patch elements. Comput. Aided Geom. Des. 52 (2017)
Jouhayna Harmouch, Bernard Mourrain, Houssam Khalil
Decomposition of Low Rank Multi-symmetric Tensor. MACIS (2017)
Bernard Mourrain
Fast Algorithm for Border Bases of Artinian Gorenstein Algebras. ISSAC (2017)
Marta Abril Bucero, Bernard Mourrain
Border basis relaxation for polynomial optimization. J. Symb. Comput. 74 (2016)
Philippe Trébuchet, Bernard Mourrain, Marta Abril Bucero
Border Basis for Polynomial System Solving and Optimization. ICMS (2016)
Bernard Mourrain, Raimundas Vidunas, Nelly Villamizar
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Comput. Aided Geom. Des. 45 (2016)
Xiaohong Jia, Wenping Wang, Yi-King Choi, Bernard Mourrain, Changhe Tu
Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. J. Symb. Comput. 73 (2016)
Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó
Certifying Isolated Singular Points and their Multiplicity Structure. ISSAC (2015)
Alicia Dickenstein, Jan Draisma, Bernard Mourrain
Special issue on effective methods in algebraic computation. J. Symb. Comput. 68 (2015)
Gang Xu, Bernard Mourrain, Xiang-yang Wu, Long Chen, Kin-Chuen Hui
Efficient construction of multi-block volumetric spline parameterization by discrete mask method. J. Comput. Appl. Math. 290 (2015)
Bernard Mourrain, Nelly Villamizar
Bounds on the Dimension of Trivariate Spline Spaces: A Homological Approach. Math. Comput. Sci. 8 (2) (2014)
Bernard Mourrain
On the dimension of spline spaces on planar T-meshes. Math. Comput. 83 (286) (2014)
Bernard Mourrain, Philippe Trébuchet
Toric border basis. ISSAC (2014)
Yi-King Choi, Wenping Wang, Bernard Mourrain, Changhe Tu, Xiaohong Jia, Feng Sun
Continuous collision detection for composite quadric models. Graph. Model. 76 (5) (2014)
Dmitry Berdinsky, Tae-wan Kim, Cesare Bracco, Durkbin Cho, Bernard Mourrain, Min-jae Oh, Sutipong Kiatpanichgij
Dimensions and bases of hierarchical tensor-product splines. J. Comput. Appl. Math. 257 (2014)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Corrigendum to "Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method" [J. Comput. Phys. 252(2013) 275-289]. J. Comput. Phys. 272 (2014)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. J. Comput. Phys. 252 (2013)
Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan, Lihong Zhi
Preface. Theor. Comput. Sci. 479 (2013)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications. Comput. Aided Des. 45 (2) (2013)
Aurobrata Ghosh, Elias P. Tsigaridas, Bernard Mourrain, Rachid Deriche
A polynomial approach for extracting the extrema of a spherical function and its application in diffusion MRI. Medical Image Anal. 17 (5) (2013)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis. Comput. Aided Des. 45 (4) (2013)
Houssam Khalil, Bernard Mourrain, Michelle Schatzman
Superfast solution of Toeplitz systems based on syzygy reduction CoRR (2013)
Yi-King Choi, Wenping Wang, Bernard Mourrain, Changhe Tu, Xiaohong Jia, Feng Sun
Continuous Collision Detection for Composite Quadric Models. CoRR (2013)
Jean-Bernard Lasserre, Monique Laurent, Bernard Mourrain, Philipp Rostalski, Philippe Trebuchet
Moment matrices, border bases and real radical computation. J. Symb. Comput. 51 (2013)
Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain
Voronoi diagrams of algebraic distance fields. Comput. Aided Des. 45 (2) (2013)
Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain
General tensor decomposition, moment matrices and applications. J. Symb. Comput. 52 (2013)
Xavier Alameda-Pineda, Radu Horaud, Bernard Mourrain
The geometry of sound-source localization using non-coplanar microphone arrays. WASPAA (2013)
Xavier Alameda-Pineda, Radu Horaud, Bernard Mourrain
The geometry of sound-source localization using non-coplanar microphone arrays. WASPAA (2013)
Bernard Mourrain, Nelly Villamizar
Homological techniques for the analysis of the dimension of triangular spline spaces. J. Symb. Comput. 50 (2013)
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. Comput. Graph. 36 (5) (2012)
Ioannis Z. Emiris, Angelos Mantzaflaris, Bernard Mourrain
Yet another algorithm for generalized Voronoï Diagrams. SAC (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) (2012)
Bernard Mourrain, Philippe Trebuchet
Border basis representation of a general quotient algebra. ISSAC (2012)
Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta
On the isotopic meshing of an algebraic implicit surface. J. Symb. Comput. 47 (8) (2012)
Bernard Mourrain, Scott Schaefer
Geometric Modeling and Processing 2010. Comput. Aided Geom. Des. 29 (5) (2012)
Joris van der Hoeven, Grégoire Lecerf, Bernard Mourrain, Philippe Trébuchet, Jérémy Berthomieu, Daouda Niang Diatta, Angelos Mantzaflaris
Mathemagix: the quest of modularity and efficiency for symbolic and certified numeric computation? ACM Commun. Comput. Algebra 45 (3/4) (2011)
Xiaohong Jia, Yi-King Choi, Bernard Mourrain, Wenping Wang
An algebraic approach to continuous collision detection for ellipsoids. Comput. Aided Geom. Des. 28 (3) (2011)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Variational Harmonic Method for Parameterization of Computational Domain in 2D Isogeometric Analysis. CAD/Graphics (2011)
Alessandra Bernardi, Jérôme Brachat, Pierre Comon, Bernard Mourrain
Multihomogeneous polynomial decomposition using moment matrices. ISSAC (2011)
Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan
Preface. Theor. Comput. Sci. 412 (16) (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) (2011)
Angelos Mantzaflaris, Bernard Mourrain
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems CoRR (2011)
Thien Nguyen, Bernard Mourrain, André Galligo, Gang Xu
A construction of injective parameterizations of domains for isogeometric applications. SNC (2011)
Guillaume Chèze, André Galligo, Bernard Mourrain, Jean-Claude Yakoubsohn
A subdivision method for computing nearest gcd with certification. Theor. Comput. Sci. 412 (35) (2011)
Madalina Hodorog, Bernard Mourrain, Josef Schicho
An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities. ICCSA (3) (2011)
Angelos Mantzaflaris, Bernard Mourrain
Deflation and certified isolation of singular zeros of polynomial systems. ISSAC (2011)
Angelos Mantzaflaris, Bernard Mourrain
A Subdivision Approach to Planar Semi-algebraic Sets. GMP (2010)
Madalina Hodorog, Bernard Mourrain, Josef Schicho
GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory. ACM Commun. Comput. Algebra 44 (3/4) (2010)
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis. GMP (2010)
Madalina Hodorog, Bernard Mourrain, Josef Schicho
A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity. SYNASC (2010)
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas
The DMM bound: multivariate (aggregate) separation bounds. ISSAC (2010)
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas
The DMM bound: multivariate (aggregate) separation bounds CoRR (2010)
Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Rónyai, Ágnes Szántó
On the Computation of Matrices of Traces and Radicals of Ideals CoRR (2009)
Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas
Continued fraction expansion of real roots of polynomial systems. SNC (2009)
Bernard Mourrain, Jean Pascal Pavone
Subdivision methods for solving polynomial equations. J. Symb. Comput. 44 (3) (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)
Guillaume Chèze, Jean-Claude Yakoubsohn, André Galligo, Bernard Mourrain
Computing nearest Gcd with certification. SNC (2009)
Carlos D'Andrea, Bernard Mourrain
Special issue on symbolic and algebraic computation. J. Symb. Comput. 44 (7) (2009)
Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang
Using signature sequences to classify intersection curves of two quadrics. Comput. Aided Geom. Des. 26 (3) (2009)
Laurent Busé, Bernard Mourrain
Explicit factors of some iterated resultants and discriminants. Math. Comput. 78 (265) (2009)
Lionel Alberti, Bernard Mourrain, Jean-Pierre Técourt
Isotopic triangulation of a real algebraic surface. J. Symb. Comput. 44 (9) (2009)
Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas
Symmetric tensor decomposition CoRR (2009)
Angelos Mantzaflaris, Bernard Mourrain, Elias P. Tsigaridas
Continued Fraction Expansion of Real Roots of Polynomial Systems CoRR (2009)
Mariemi Alonso, Jérôme Brachat, Bernard Mourrain
The Hilbert scheme of points and its link with border basis CoRR (2009)
Michael Hemmer, Elias P. Tsigaridas, Zafeirakis Zafeirakopoulos, Ioannis Z. Emiris, Menelaos I. Karavelas, Bernard Mourrain
Experimental evaluation and cross-benchmarking of univariate real solvers. SNC (2009)
Thang Luu Ba, Laurent Busé, Bernard Mourrain
Curve/surface intersection problem by means of matrix representations. SNC (2009)
Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas
Symmetric tensor decomposition. EUSIPCO (2009)
Bernard Mourrain, Philippe Trebuchet
Stable normal forms for polynomial system solving CoRR (2008)

Bernard Mourrain.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Bernard Mourrain