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2020 – today
- 2024
[j86]Michelangelo Marsala
, Angelos Mantzaflaris, Bernard Mourrain:
G1 spline functions for point cloud fitting. Appl. Math. Comput. 460: 128279 (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]Julien Wintz, Bernard Mourrain:
A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview. PG 2007: 449-452 - [i3]Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang:
Signature Sequence of Intersection Curve of Two Quadrics for Exact Morphological Classification. CoRR abs/cs/0701121 (2007) - 2006
- [j23]Bernard Mourrain, Nicos G. Pavlidis, Dimitris K. Tasoulis, Michael N. Vrahatis:
Determining the number of real roots of polynomials through neural networks. Comput. Math. Appl. 51(3-4): 527-536 (2006) - [j22]Long Quan, Bill Triggs, Bernard Mourrain:
Some Results on Minimal Euclidean Reconstruction from Four Points. J. Math. Imaging Vis. 24(3): 341-348 (2006) - [c17]Pierre Comon, Bernard Mourrain, Lek-Heng Lim, Gene H. Golub:
Genericity And Rank Deficiency Of High Order Symmetric Tensors. ICASSP (3) 2006: 125-128 - [e1]Mohamed Elkadi, Bernard Mourrain, Ragni Piene:
Algebraic Geometry and Geometric Modeling. Springer 2006, ISBN 978-3-540-33274-9 [contents] - [i2]Laurent Busé, Bernard Mourrain:
Explicit factors of some iterated resultants and discriminants. CoRR abs/cs/0612050 (2006) - 2005
- [j21]Bernard Mourrain, Jean-Pierre Técourt, Monique Teillaud:
On the computation of an arrangement of quadrics in 3D. Comput. Geom. 30(2): 145-164 (2005) - [j20]Bernard Mourrain:
Bezoutian and quotient ring structure. J. Symb. Comput. 39(3-4): 397-415 (2005) - [c16]Laurent Busé, Houssam Khalil, Bernard Mourrain:
Resultant-Based Methods for Plane Curves Intersection Problems. CASC 2005: 75-92 - [c15]Francois Anton, Ioannis Z. Emiris, Bernard Mourrain, Monique Teillaud:
The Offset to an Algebraic Curve and an Application to Conics. ICCSA (1) 2005: 683-696 - [c14]Bernard Mourrain:
Generalized normal forms and polynomial system solving. ISSAC 2005: 253-260 - 2004
- [j19]Mohamed Elkadi, Bernard Mourrain:
Residue and Implicitization Problem for Rational Surfaces. Appl. Algebra Eng. Commun. Comput. 14(5): 361-379 (2004) - [j18]Ioannis Z. Emiris, Bernard Mourrain, Victor Y. Pan:
Preface: Algebraic and Numerical Algorithms. Theor. Comput. Sci. 315(2-3): 307-308 (2004) - 2003
- [j17]Olivier Devillers, Bernard Mourrain, Franco P. Preparata, Philippe Trebuchet:
Circular Cylinders through Four or Five Points in Space. Discret. Comput. Geom. 29(1): 83-104 (2003) - [j16]Bernard Mourrain, Victor Y. Pan, Olivier Ruatta:
Accelerated Solution of Multivariate Polynomial Systems of Equations. SIAM J. Comput. 32(2): 435-454 (2003) - 2002
- [j15]Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud:
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Comput. Geom. 22(1-3): 119-142 (2002) - [j14]Bernard Mourrain, Michael N. Vrahatis, Jean-Claude Yakoubsohn:
On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree. J. Complex. 18(2): 612-640 (2002) - [j13]Bernard Mourrain, Olivier Ruatta:
Relations Between Roots and Coefficients, Interpolation and Application to System Solving. J. Symb. Comput. 33(5): 679-699 (2002) - [j12]Olivier Grellier, Pierre Comon, Bernard Mourrain, Philippe Trebuchet:
Analytical blind channel identification. IEEE Trans. Signal Process. 50(9): 2196-2207 (2002) - 2001
- [c13]Didier Bondyfalat, Théodore Papadopoulo, Bernard Mourrain:
Using Scene Constraints during the Calibration Procedure. ICCV 2001: 124-130 - 2000
- [j11]Bernard Mourrain, Victor Y. Pan:
Multivariate Polynomials, Duality, and Structured Matrices. J. Complex. 16(1): 110-180 (2000) - [j10]Bernard Mourrain, Victor Y. Pan:
Lifting/Descending Processes for Polynomial Zeros. J. Complex. 16(1): 265-273 (2000) - [j9]Laurent Busé, Mohamed Elkadi, Bernard Mourrain:
Generalized Resultants over Unirational Algebraic Varieties. J. Symb. Comput. 29(4-5): 515-526 (2000) - [c12]Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud:
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. SCG 2000: 139-147 - [c11]Hirohisa Hirukawa, Bernard Mourrain, Yves Papegay:
A symbolic-numeric silhouette algorithm. IROS 2000: 2358-2365 - [c10]Bernard Mourrain, Philippe Trebuchet:
Solving projective complete intersection faster. ISSAC 2000: 234-241 - [i1]Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud:
Algebraic Methods and Arithmetic Filtering for Exact Predicates on Circle Arcs. EuroCG 2000: 117-120
1990 – 1999
- 1999
- [j8]Ioannis Z. Emiris, Bernard Mourrain:
Computer Algebra Methods for Studying and Computing Molecular Conformations. Algorithmica 25(2-3): 372-402 (1999) - [j7]Alexis Bonnecaze, Bernard Mourrain, Patrick Solé:
Jacobi Polynomials, Type II Codes, and Designs. Des. Codes Cryptogr. 16(3): 215-234 (1999) - [j6]Ioannis Z. Emiris, Bernard Mourrain:
Matrices in Elimination Theory. J. Symb. Comput. 28(1-2): 3-44 (1999) - [c9]Bernard Mourrain:
A New Criterion for Normal Form Algorithms. AAECC 1999: 430-443 - [c8]Mohamed Elkadi, Bernard Mourrain:
A New Algorithm for the Geometric Decomposition of a Variety. ISSAC 1999: 9-16 - 1998
- [j5]Bernard Mourrain:
Computing the Isolated Roots by Matrix Methods. J. Symb. Comput. 26(6): 715-738 (1998) - [c7]Didier Bondyfalat, Bernard Mourrain, Théodore Papadopoulo:
An Application of Automatic Theorem Proving in Computer Vision. Automated Deduction in Geometry 1998: 207-231 - [c6]Didier Bondyfalat, Bernard Mourrain, Victor Y. Pan:
Controlled Iterative Methods for Solving Polynomial Systems. ISSAC 1998: 252-259 - [c5]Bernard Mourrain, Victor Y. Pan:
Asymptotic Acceleration of Solving Multivariate Polynomial Systems of Equations. STOC 1998: 488-496 - 1997
- [j4]Alexis Bonnecaze, Patrick Solé, Christine Bachoc, Bernard Mourrain:
Type II codes over Z4. IEEE Trans. Inf. Theory 43(3): 969-976 (1997) - 1996
- [j3]Pierre Comon, Bernard Mourrain:
Decomposition of quantics in sums of powers of linear forms. Signal Process. 53(2-3): 93-107 (1996) - 1995
- [j2]Robert Fournier, Norbert Kajler, Bernard Mourrain:
Visualization of Mathematical Surfaces: The IZIC Server Approach. J. Symb. Comput. 19(1-3): 159-173 (1995) - [c4]Olivier D. Faugeras, Bernard Mourrain:
On the Geometry and Algebra of the Point and Line Correspondences Between N Images. ICCV 1995: 951-956 - 1993
- [c3]Robert Fournier, Norbert Kajler, Bernard Mourrain:
IZIC: A Portable Language-Driven Tool for Mathematical Surfaces Visualization. DISCO 1993: 341-353 - [c2]Bernard Mourrain:
The 40 "generic" Positions of a Parallel Robot. ISSAC 1993: 173-182 - 1992
- [j1]Bernard Mourrain:
Computable Identities in the Algebra of Formal Matrices. Theor. Comput. Sci. 98(1): 115-133 (1992) - 1990
- [c1]Bernard Mourrain:
Some Algebra with Formal Matrices. AAECC 1990: 234-248
Coauthor Index
Philippe Trebuchet
aka: Philippe Trébuchet
aka: Philippe Trébuchet
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