. References, A. Khetan, D. Cba11, ]. T. Luu, and . Ba, Implicitization of rational surfaces using toric varieties Matrix-based implicit representations of algebraic curves and surfaces and applications, Journal of Algebra, vol.303, issue.2, pp.543-565, 2006.

L. Busé, T. Luu, and . Ba, Matrix-based implicit representations of rational algebraic curves and applications, Computer Aided Geometric Design, vol.27, issue.9, pp.681-699, 2010.
DOI : 10.1016/j.cagd.2010.09.006

L. Busé, T. Luu, and . Ba, The surface/surface intersection problem by means of matrix based representations, Computer Aided Geometric Design, vol.29, issue.8, pp.579-598, 2012.
DOI : 10.1016/j.cagd.2012.04.002

T. Luu-ba, L. Busé, and B. Mourrain, Curve/surface intersection problem by means of matrix representation, SNC'09: Proceedings of the International Conference on Symbolic Numeric Computation, pp.71-78, 2009.

L. Busé and M. Chardin, Implicitizing rational hypersurfaces using approximation complexes, Journal of Symbolic Computation, vol.40, issue.4-5, pp.1150-1168, 2005.
DOI : 10.1016/j.jsc.2004.04.005

L. Busé and M. , Elimination and nonlinear equations of Rees algebras, Journal of Algebra, vol.324, issue.6, pp.1314-1333, 2010.
DOI : 10.1016/j.jalgebra.2010.07.006

L. Busé, D. Cox, and C. Andrea, IN THE PRESENCE OF BASE POINTS, Journal of Algebra and Its Applications, vol.02, issue.02, pp.189-214, 2003.
DOI : 10.1142/S0219498803000489

L. Busé, M. Chardin, and J. Jouanolou, Torsion of the symmetric algebra and implicitization, Proceedings of the American Mathematical Society, pp.1855-1865, 2009.
DOI : 10.1090/S0002-9939-09-09550-1

L. Busé and M. Dohm, Implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies, Proceedings of the 2007 international symposium on Symbolic and algebraic computation , ISSAC '07, pp.69-76, 2007.
DOI : 10.1145/1277548.1277559

N. Botbol, M. Dohm, and A. Dickenstein, Matrix representations for toric parametrizations, Computer Aided Geometric Design, vol.26, issue.7, pp.757-771, 2009.
DOI : 10.1016/j.cagd.2009.03.005

URL : https://hal.archives-ouvertes.fr/hal-00308281

L. Busé and J. Jouanolou, On the closed image of a rational map and the implicitization problem, Journal of Algebra, vol.265, issue.1, pp.312-357, 2003.
DOI : 10.1016/S0021-8693(03)00181-9

. Th, P. Beelen, and . Van-dooren, An improved algorithm for the computation of Kronecker's canonical form of a singular pencil, Linear Algebra Appl, vol.105, pp.9-65, 1988.

D. Cox, R. Goldman, and M. Zhang, On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points, Eis] D. Eisenbud. Commutative algebra with a view toward algebraic geometry, pp.419-440, 2000.
DOI : 10.1006/jsco.1999.0325

F. R. Gantmacher, Théorie des matrices Tome 2: Questions spéciales et applications, 1966.

H. Gene, C. F. Golub, and . Van-loan, Matrix computations. Johns Hopkins Studies in the Mathematical Sciences, 1996.

V. [. Kublanovskaya and . Khazanov, Spectral problems for pencils of polynomial matrices. Methods and algorithms. V, Journal of Mathematical Sciences, vol.2, issue.No. 6, pp.1048-1076, 1996.
DOI : 10.1007/BF02366127

V. N. Kublanovskaya, Methods and algorithms of solving spectral problems for polynomial and rational matrices, Journal of Mathematical Sciences, vol.19, issue.No. 5???6, pp.3085-3287, 1999.
DOI : 10.1007/BF02168360

D. Manocha and J. Canny, A new approach for surface intersection, Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications, pp.209-219, 1991.

B. Mourrain, Bezoutian and quotient ring structure, Proceedings of SIGGRAPH, pp.397-415, 1995.
DOI : 10.1016/j.jsc.2004.11.010

URL : http://doi.org/10.1016/j.jsc.2004.11.010