Bibliography

Major publications by the team in recent years

[1]

L. Busé, M. Elkadi, B. Mourrain.
Resultant over the residual of a complete intersection, in: J. of Pure and Applied Algebra, 2001, vol. 164, p. 35-57.

[2]

L. Busé, M. Elkadi, B. Mourrain.
Using projection operators in computer aided geometric design, in: Topics in algebraic geometry and geometric modeling, Providence, RI, Contemp. Math., Amer. Math. Soc., 2003, vol. 334, p. 321–342.

[3]

M. Elkadi, B. Mourrain.
Algorithms for residues and Lojasiewicz exponents, in: J. of Pure and Applied Algebra, 2000, vol. 153, p. 27-44.

[4]

M. Elkadi, B. Mourrain.
Introduction à la résolution des systèmes polynomiaux, Mathématiques et Applications, Springer, 2007, vol. 59.

[5]

I.Z. Emiris, A. Galligo, H. Lombardi.
Certified Approximate Univariate GCDs, in: J. Pure & Applied Algebra, Special Issue on Algorithms for Algebra, May 1997, vol. 117 & 118, p. 229–251.

[6]

I.Z. Emiris, B. Mourrain.
Matrices in Elimination Theory, in: J. Symbolic Computation, Special Issue on Elimination, 1999, vol. 28, p. 3–44.

[7]

A. Galligo.
Théorème de division et stabilité en géométrie analytique locale, in: Ann. Inst. Fourier, 1979, vol. 29, p. 107–184.

[8]

A. Galligo, M. van Hoeij.
Approximate bivariate factorization: a geometric viewpoint, in: SNC '07: Proceedings of the 2007 international workshop on Symbolic-numeric computation, New York, NY, USA, ACM, 2007, p. 1–10.

[9]

A. Galligo, S. Watt.
A Numerical Absolute Primality Test for Bivariate Polynomials, in: Proc. Annual ACM Intern. Symp. on Symbolic and Algebraic Computation, 1997, p. 217–224.

[10]

B. Mourrain, V. Y. Pan.
Multivariate Polynomials, Duality and Structured Matrices, in: J. of Complexity, 2000, vol. 16, n^o 1, p. 110-180.

Publications of the year

Doctoral Dissertations and Habilitation Theses

[11]

D. Diatta.
Calcul effectif de la topologie de courbes et surfaces algébriques réelles, Université de Limoges, 09 2009
http://tel.archives-ouvertes.fr/tel-00438817/en/, Ph. D. Thesis.

Articles in International Peer-Reviewed Journal

[12]

L. Alberti, B. Mourrain, J.-P. Técourt.
Isotopic triangulation of a real algebraic surface, in: Journal of Symbolic Computation, 2009, vol. 44, n^o 9, p. 1291-1310
http://hal.inria.fr/inria-00433141/en/.

[13]

L. Busé.
On the equations of the moving curve ideal of a rational algebraic plane curve, in: Journal of Algebra, 2009, vol. 321, n^o 8, p. 2317-2344
http://hal.inria.fr/inria-00198350/en/.

[14]

L. Busé, M. Chardin, J.-P. Jouanolou.
Torsion of the symmetric algebra and implicitization, in: Proceedings of the American Mathematical Society, 2009, vol. 137, n^o 6, p. 1855-1865
http://hal.inria.fr/inria-00104191/en/.

[15]

L. Busé, M. Elkadi, A. Galligo.
A computational study of ruled surfaces, in: Journal of Symbolic Computation, 2009, vol. 44, n^o 3, p. 232–241
http://hal.inria.fr/inria-00142973/en/.

[16]

L. Busé, B. Mourrain.
Explicit factors of some iterated resultants and discriminants, in: Mathematics of Computation / Mathematics of Computation of the American Mathematical Society, 2009, vol. 78, n^o 265, p. 345–386
http://hal.inria.fr/inria-00119287/en/.

[17]

M. Elkadi, A. Galligo, M. Weimann.
Towards Toric Absolute Factorization, in: Journal of Symbolic Computation, 2009, p. 1194-1211
http://hal.inria.fr/inria-00438275/en/.

[18]

E. Hubert.
Differential invariants of a Lie group action: syzygies on a generating set, in: Journal of Symbolic Computation, 2009, vol. 44, n^o 4, p. 382-416
http://hal.inria.fr/inria-00178189/en/.

[19]

M. Laurent, B. Mourrain.
A Sparse Flat Extension Theorem for Moment Matrices, in: Archiv der Mathematik, 2009, vol. 93, p. 87-98
http://hal.inria.fr/inria-00347022/en/.

[20]

B. Mourrain, J.-P. Pavone.
Subdivision methods for solving polynomial equations, in: Journal of Symbolic Computation, 2009, vol. 44, n^o 3, p. 292-306
http://hal.inria.fr/inria-00070350/en/, RR-5658.

[21]

C. Tu, W. Wang, B. Mourrain, J. Wang.
Signature Sequence of Intersection Curve of Two Quadrics for Exact Morphological Classification, in: CAGD, 2009, vol. 26, n^o 3, p. 317-335
http://hal.archives-ouvertes.fr/hal-00123473/en/.

International Peer-Reviewed Conference/Proceedings

[22]

G. Chèze, J.-C. Yakoubsohn, A. Galligo, B. Mourrain.
Computing Nearest Gcd with Certification, in: Symbolic-Numeric Computation (SNC'09), Japon Kyoto, ACM New York, NY, USA, 2009, p. 29-34
http://hal.inria.fr/inria-00437559/en/.

[23]

I. Emiris, A. Mantzaflaris.
Multihomogeneous resultant matrices for systems with scaled support, in: International Symposium on Symbolic and Algebraic Computation, Corea, Seoul Republic, 2009, p. 143-150
http://hal.inria.fr/inria-00355881/en/.

[24]

A. Galligo, A. Poteaux.
Continuations and monodromy on random riemann surfaces, in: SNC '09:conference on Symbolic numeric computation 2009, Kyoto Japan, 10.1145/1577190.1577210, 2009, p. 115-124
http://hal.inria.fr/inria-00438289/en/.

[25]

W. Ge, G. Xu, K.-C. Hui, G. Wang.
Detail-preserving axial deformation using curve pairs, in: IEEE International Conference on Shape Modeling and Applications, 2009. SMI 2009., China, Beijing, 2009
http://hal.inria.fr/inria-00437431/en/.

[26]

W. Ge, G. Xu, K.-C. Hui, G. Wang.
Detail-preserving sculpting deformation, in: IEEE International Conference on CAD/Graphics, Chine Yellow Mountain, 2009
http://hal.inria.fr/inria-00437403/en/.

[27]

T. Luu Ba, L. Busé, B. Mourrain.
Curve/surface intersection problem by means of matrix representations, in: Symbolic Numeric Computation, Japon Kyoto, H. Kai, H. Sekigawa (editors), ACM, New York, NY, 2009, p. 71-78
http://hal.inria.fr/inria-00418403/en/.

[28]

A. Mantzaflaris, B. Mourrain, E. P. Tsigaridas.
Continued Fraction Expansion of Real Roots of Polynomial Systems, in: SNC, conference on Symbolic-Numeric Computation, Japon Kyoto, 2009, p. 85-94
http://hal.inria.fr/inria-00387399/en/.

[29]

D.-M. Yan, J. Wintz, B. Mourrain, W. Wang, F. Boudon, C. Godin.
Efficient and robust reconstruction of botanical branching structure from laser scanned points, in: 11th IEEE International conference on Computer-Aided Design and Computer Graphics, Chine Yellow Mountain City, 2009, p. 572-575
http://hal.inria.fr/inria-00436480/en/.