


default search action
Bernard Mourrain
Person information
Refine list

refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
showing all ?? records
2020 – today
- 2024
- [j87]Michelangelo Marsala
, Angelos Mantzaflaris, Bernard Mourrain
:
G1 spline functions for point cloud fitting. Appl. Math. Comput. 460: 128279 (2024) - [j86]Michelangelo Marsala, Angelos Mantzaflaris, Bernard Mourrain, Sam Whyman, Mark Gammon:
From CAD to representations suitable for isogeometric analysis: a complete pipeline. Eng. Comput. 40(6): 3429-3447 (2024) - 2023
- [j85]Angelos Mantzaflaris
, Bernard Mourrain, Ágnes Szántó:
A certified iterative method for isolated singular roots. J. Symb. Comput. 115: 223-247 (2023) - [j84]Lorenzo Baldi
, Bernard Mourrain:
On the effective Putinar's Positivstellensatz and moment approximation. Math. Program. 200(1): 71-103 (2023) - [i20]Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar, Beihui Yuan:
An algebraic framework for geometrically continuous splines. CoRR abs/2305.09096 (2023) - 2022
- [j83]Michelangelo Marsala
, Angelos Mantzaflaris, Bernard Mourrain:
G1 - Smooth biquintic approximation of Catmull-Clark subdivision surfaces. Comput. Aided Geom. Des. 99: 102158 (2022) - [j82]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: 111393 (2022) - [j81]Rima Khouja, Pierre-Alexandre Mattei
, Bernard Mourrain:
Tensor decomposition for learning Gaussian mixtures from moments. J. Symb. Comput. 113: 193-210 (2022) - 2021
- [j80]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): 16 (2021) - [j79]Bernard Mourrain, Simon Telen
, Marc Van Barel
:
Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms. J. Symb. Comput. 102: 63-85 (2021) - [j78]Ibrahim Adamou, Bernard Mourrain:
Computing the Topology of Voronoï Diagrams of Parallel Half-Lines. Math. Comput. Sci. 15(4): 859-876 (2021) - [c51]Lorenzo Baldi
, Bernard Mourrain:
Computing Real Radicals by Moment Optimization. ISSAC 2021: 43-50 - [i19]Rima Khouja, Bernard Mourrain, Jean-Claude Yakoubsohn:
Newton-Type Methods For Simultaneous Matrix Diagonalization. CoRR abs/2110.11133 (2021) - 2020
- [j77]Ahmed Blidia, Bernard Mourrain
, Gang Xu
:
Geometrically smooth spline bases for data fitting and simulation. Comput. Aided Geom. Des. 78: 101814 (2020) - [j76]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: 101867 (2020) - [j75]Ioannis Z. Emiris
, Bernard Mourrain, Elias P. Tsigaridas:
Separation bounds for polynomial systems. J. Symb. Comput. 101: 128-151 (2020) - [j74]Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang:
Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids. ACM Trans. Graph. 39(3): 27:1-27:12 (2020) - [c50]Angelos Mantzaflaris, Bernard Mourrain, Ágnes Szántó:
Punctual Hilbert scheme and certified approximate singularities. ISSAC 2020: 336-343 - [i18]Rima Khouja, Houssam Khalil, Bernard Mourrain:
A Riemannian Newton Optimization Framework for the Symmetric Tensor Rank Approximation Problem. CoRR abs/2003.01469 (2020)
2010 – 2019
- 2019
- [j73]Cédric Josz, Jean-Bernard Lasserre
, Bernard Mourrain:
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Adv. Comput. Math. 45(3): 1401-1437 (2019) - [j72]Mingyang Zhao, Xiaohong Jia, Changhe Tu, Bernard Mourrain, Wenping Wang:
Enumerating the morphologies of non-degenerate Darboux cyclides. Comput. Aided Geom. Des. 75 (2019) - [j71]Hannah Markwig, Bernard Mourrain, Giorgio Ottaviani:
Foreword on the special issue of JSC on the occasion of MEGA 2017. J. Symb. Comput. 91: 1-2 (2019) - [j70]Agostino Martinelli
, Alexander Antonio Oliva
, Bernard Mourrain:
Cooperative Visual-Inertial Sensor Fusion: The Analytic Solution. IEEE Robotics Autom. Lett. 4(2): 453-460 (2019) - 2018
- [j69]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: 154-165 (2018) - [j68]Simon Telen, Bernard Mourrain, Marc Van Barel
:
Truncated normal forms for solving polynomial systems. ACM Commun. Comput. Algebra 52(3): 78-81 (2018) - [j67]Bernard Mourrain:
Polynomial-Exponential Decomposition From Moments. Found. Comput. Math. 18(6): 1435-1492 (2018) - [j66]Simon Telen
, Bernard Mourrain, Marc Van Barel
:
Solving Polynomial Systems via Truncated Normal Forms. SIAM J. Matrix Anal. Appl. 39(3): 1421-1447 (2018) - [c49]Emmanouil Christoforou, Angelos Mantzaflaris
, Bernard Mourrain, Julien Wintz:
Axl, a Geometric Modeler for Semi-algebraic Shapes. ICMS 2018: 128-136 - [i17]Bernard Mourrain, Simon Telen, Marc Van Barel:
Solving Polynomial Systems Efficiently and Accurately. CoRR abs/1803.07974 (2018) - 2017
- [j65]Ahmed Blidia, Bernard Mourrain, Nelly Villamizar
:
G1-smooth splines on quad meshes with 4-split macro-patch elements. Comput. Aided Geom. Des. 52: 106-125 (2017) - [j64]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: 170-189 (2017) - [j63]Jonathan D. Hauenstein
, Bernard Mourrain, Ágnes Szántó:
On deflation and multiplicity structure. J. Symb. Comput. 83: 228-253 (2017) - [c48]Bernard Mourrain:
Fast Algorithm for Border Bases of Artinian Gorenstein Algebras. ISSAC 2017: 333-340 - [c47]Jouhayna Harmouch, Bernard Mourrain, Houssam Khalil:
Decomposition of Low Rank Multi-symmetric Tensor. MACIS 2017: 51-66 - [c46]Joris van der Hoeven
, Bernard Mourrain:
Efficient Certification of Numeric Solutions to Eigenproblems. MACIS 2017: 81-94 - [i16]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 abs/1707.00607 (2017) - 2016
- [j62]Bernard Mourrain
, Raimundas Vidunas, Nelly Villamizar
:
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Comput. Aided Geom. Des. 45: 108-133 (2016) - [j61]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: 221-243 (2016) - [j60]Marta Abril Bucero, Bernard Mourrain:
Border basis relaxation for polynomial optimization. J. Symb. Comput. 74: 378-399 (2016) - [c45]Philippe Trébuchet, Bernard Mourrain, Marta Abril Bucero:
Border Basis for Polynomial System Solving and Optimization. ICMS 2016: 212-220 - 2015
- [j59]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: 589-597 (2015) - [j58]Alicia Dickenstein
, Jan Draisma, Bernard Mourrain:
Special issue on effective methods in algebraic computation. J. Symb. Comput. 68: 1-3 (2015) - [c44]Jonathan D. Hauenstein, Bernard Mourrain, Ágnes Szántó:
Certifying Isolated Singular Points and their Multiplicity Structure. ISSAC 2015: 213-220 - 2014
- [j57]Yi-King Choi, Wenping Wang, Bernard Mourrain, Changhe Tu, Xiaohong Jia, Feng Sun:
Continuous collision detection for composite quadric models. Graph. Model. 76(5): 566-579 (2014) - [j56]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: 86-104 (2014) - [j55]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: 865 (2014) - [j54]Bernard Mourrain, Nelly Villamizar
:
Bounds on the Dimension of Trivariate Spline Spaces: A Homological Approach. Math. Comput. Sci. 8(2): 157-174 (2014) - [j53]Bernard Mourrain:
On the dimension of spline spaces on planar T-meshes. Math. Comput. 83(286): 847-871 (2014) - [c43]Bernard Mourrain, Philippe Trébuchet:
Toric border basis. ISSAC 2014: 343-350 - 2013
- [j52]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): 395-404 (2013) - [j51]Ioannis Z. Emiris
, Angelos Mantzaflaris
, Bernard Mourrain:
Voronoi diagrams of algebraic distance fields. Comput. Aided Des. 45(2): 511-516 (2013) - [j50]Gang Xu
, Bernard Mourrain, Régis Duvigneau
, André Galligo:
Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis. Comput. Aided Des. 45(4): 812-821 (2013) - [j49]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: 275-289 (2013) - [j48]Bernard Mourrain, Nelly Villamizar
:
Homological techniques for the analysis of the dimension of triangular spline spaces. J. Symb. Comput. 50: 564-577 (2013) - [j47]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) - [j46]Alessandra Bernardi
, Jérôme Brachat, Pierre Comon, Bernard Mourrain:
General tensor decomposition, moment matrices and applications. J. Symb. Comput. 52: 51-71 (2013) - [j45]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): 503-514 (2013) - [j44]Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan, Lihong Zhi:
Preface. Theor. Comput. Sci. 479: 1-3 (2013) - [c42]Xavier Alameda-Pineda, Radu Horaud, Bernard Mourrain:
The geometry of sound-source localization using non-coplanar microphone arrays. WASPAA 2013: 1-4 - [c41]Xavier Alameda-Pineda, Radu Horaud, Bernard Mourrain:
The geometry of sound-source localization using non-coplanar microphone arrays. WASPAA 2013: 1-4 - [i15]Houssam Khalil, Bernard Mourrain, Michelle Schatzman:
Superfast solution of Toeplitz systems based on syzygy reduction. CoRR abs/1301.5798 (2013) - [i14]Yi-King Choi, Wenping Wang, Bernard Mourrain, Changhe Tu, Xiaohong Jia, Feng Sun:
Continuous Collision Detection for Composite Quadric Models. CoRR abs/1311.7462 (2013) - 2012
- [j43]Bernard Mourrain, Scott Schaefer:
Geometric Modeling and Processing 2010. Comput. Aided Geom. Des. 29(5): 203 (2012) - [j42]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): 507-513 (2012) - [j41]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) - [j40]Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta:
On the isotopic meshing of an algebraic implicit surface. J. Symb. Comput. 47(8): 903-925 (2012) - [c40]Bernard Mourrain, Philippe Trebuchet:
Border basis representation of a general quotient algebra. ISSAC 2012: 265-272 - [c39]Ioannis Z. Emiris
, Angelos Mantzaflaris
, Bernard Mourrain:
Yet another algorithm for generalized Voronoï Diagrams. SAC 2012: 109-110 - 2011
- [j39]Xiaohong Jia, Yi-King Choi, Bernard Mourrain, Wenping Wang:
An algebraic approach to continuous collision detection for ellipsoids. Comput. Aided Geom. Des. 28(3): 164-176 (2011) - [j38]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): 186-188 (2011) - [j37]Ilias S. Kotsireas, Bernard Mourrain, Victor Y. Pan:
Preface. Theor. Comput. Sci. 412(16): 1443-1444 (2011) - [j36]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) - [j35]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) - [c38]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 - [c37]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 - [c36]Alessandra Bernardi
, Jérôme Brachat, Pierre Comon, Bernard Mourrain:
Multihomogeneous polynomial decomposition using moment matrices. ISSAC 2011: 35-42 - [c35]Angelos Mantzaflaris
, Bernard Mourrain:
Deflation and certified isolation of singular zeros of polynomial systems. ISSAC 2011: 249-256 - [c34]Thien Nguyen, Bernard Mourrain, André Galligo, Gang Xu
:
A construction of injective parameterizations of domains for isogeometric applications. SNC 2011: 149-150 - [i13]Angelos Mantzaflaris, Bernard Mourrain:
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems. CoRR abs/1101.3140 (2011) - 2010
- [j34]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): 198-200 (2010) - [c33]Angelos Mantzaflaris
, Bernard Mourrain:
A Subdivision Approach to Planar Semi-algebraic Sets. GMP 2010: 104-123 - [c32]Gang Xu
, Bernard Mourrain, Régis Duvigneau, André Galligo:
Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis. GMP 2010: 236-254 - [c31]Ioannis Z. Emiris
, Bernard Mourrain, Elias P. Tsigaridas:
The DMM bound: multivariate (aggregate) separation bounds. ISSAC 2010: 243-250 - [c30]Madalina Hodorog, Bernard Mourrain, Josef Schicho:
A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity. SYNASC 2010: 21-28 - [e2]Bernard Mourrain, Scott Schaefer, Guoliang Xu:
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 [contents] - [i12]Ioannis Z. Emiris
, Bernard Mourrain, Elias P. Tsigaridas:
The DMM bound: multivariate (aggregate) separation bounds. CoRR abs/1005.5610 (2010)
2000 – 2009
- 2009
- [j33]Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang:
Using signature sequences to classify intersection curves of two quadrics. Comput. Aided Geom. Des. 26(3): 317-335 (2009) - [j32]Bernard Mourrain, Jean Pascal Pavone:
Subdivision methods for solving polynomial equations. J. Symb. Comput. 44(3): 292-306 (2009) - [j31]Carlos D'Andrea
, Bernard Mourrain:
Special issue on symbolic and algebraic computation. J. Symb. Comput. 44(7): 701-702 (2009) - [j30]Lionel Alberti, Bernard Mourrain, Jean-Pierre Técourt:
Isotopic triangulation of a real algebraic surface. J. Symb. Comput. 44(9): 1291-1310 (2009) - [j29]Laurent Busé, Bernard Mourrain:
Explicit factors of some iterated resultants and discriminants. Math. Comput. 78(265): 345-386 (2009) - [c29]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 - [c28]Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas:
Symmetric tensor decomposition. EUSIPCO 2009: 525-529 - [c27]Guillaume Chèze, Jean-Claude Yakoubsohn, André Galligo, Bernard Mourrain:
Computing nearest Gcd with certification. SNC 2009: 29-34 - [c26]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: 45-54 - [c25]Thang Luu Ba
, Laurent Busé
, Bernard Mourrain:
Curve/surface intersection problem by means of matrix representations. SNC 2009: 71-78 - [c24]Angelos Mantzaflaris
, Bernard Mourrain, Elias P. Tsigaridas:
Continued fraction expansion of real roots of polynomial systems. SNC 2009: 85-94 - [i11]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) - [i10]Jérôme Brachat, Pierre Comon, Bernard Mourrain, Elias P. Tsigaridas:
Symmetric tensor decomposition. CoRR abs/0901.3706 (2009) - [i9]Angelos Mantzaflaris
, Bernard Mourrain, Elias P. Tsigaridas:
Continued Fraction Expansion of Real Roots of Polynomial Systems. CoRR abs/0905.3993 (2009) - [i8]Mariemi Alonso, Jérôme Brachat, Bernard Mourrain:
The Hilbert scheme of points and its link with border basis. CoRR abs/0911.3503 (2009) - 2008
- [j28]Lionel Alberti, Bernard Mourrain, Julien Wintz:
Topology and arrangement computation of semi-algebraic planar curves. Comput. Aided Geom. Des. 25(8): 631-651 (2008) - [j27]Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsigaridas:
Computing a rational in between. ACM Commun. Comput. Algebra 42(3): 160-161 (2008) - [j26]Pierre Comon, Gene H. Golub, Lek-Heng Lim, Bernard Mourrain:
Symmetric Tensors and Symmetric Tensor Rank. SIAM J. Matrix Anal. Appl. 30(3): 1254-1279 (2008) - [j25]Laurent Busé, Mohamed Elkadi, Bernard Mourrain:
Editorial. Theor. Comput. Sci. 392(1-3): 1-2 (2008) - [j24]Bernard Mourrain, Philippe Trebuchet:
Stable normal forms for polynomial system solving. Theor. Comput. Sci. 409(2): 229-240 (2008) - [c23]Ioannis Z. Emiris
, Bernard Mourrain, Elias P. Tsigaridas:
Real Algebraic Numbers: Complexity Analysis and Experimentation. Reliable Implementation of Real Number Algorithms 2008: 57-82 - [c22]Daouda Niang Diatta, Bernard Mourrain, Olivier Ruatta:
On the computation of the topology of a non-reduced implicit space curve. ISSAC 2008: 47-54 - [c21]Itnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai:
Moment matrices, trace matrices and the radical of ideals. ISSAC 2008: 125-132 - [p1]Stefanie Hahmann
, Alexander G. Belyaev
, Laurent Busé
, Gershon Elber, Bernard Mourrain, Christian Rössl:
Shape Interrogation. Shape Analysis and Structuring 2008: 1-51 - [i7]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) - [i6]Bernard Mourrain, Philippe Trebuchet:
Stable normal forms for polynomial system solving. CoRR abs/0812.0067 (2008) - [i5]Itnuit Janovitz-Freireich, Ágnes Szántó, Bernard Mourrain, Lajos Rónyai:
Moment matrices, trace matrices and the radical of ideals. CoRR abs/0812.0088 (2008) - [i4]Monique Laurent, Bernard Mourrain:
A Sparse Flat Extension Theorem for Moment Matrices. CoRR abs/0812.2563 (2008) - 2007
- [c20]Lionel Alberti, Bernard Mourrain:
Regularity Criteria for the Topology of Algebraic Curves and Surfaces. IMA Conference on the Mathematics of Surfaces 2007: 1-28 - [c19]Lionel Alberti, Bernard Mourrain:
Visualisation of Implicit Algebraic Curves. PG 2007: 303-312 - [c18]