Meshing implicit algebraic surfaces: the smooth case, Mathematical Methods for Curves and Surfaces: Tromso'04, pp.11-26, 2005. ,
Computing the topology of real algebraic space curves, J. Symbolic Comput, vol.39, pp.719-744, 2005. ,
Algorithms in Real Algebraic Geometry, 2003. ,
DOI : 10.1007/978-3-662-05355-3
URL : https://hal.archives-ouvertes.fr/hal-01083587
Determining the Topology of Real Algebraic Surfaces, Mathematics of Surfaces, number 3604 in LNCS, pp.121-146, 2005. ,
DOI : 10.1007/11537908_8
Quantifier elimination for real closed fields by cylindrical algebraic decompostion, Proc. 2nd GI Conference on Automata Theory and Formal Languages, pp.134-183, 1975. ,
DOI : 10.1007/3-540-07407-4_17
Extremal real algebraic geometry and adiscriminants, 2007. ,
Almost tight recursion tree bounds for the Descartes method, Proceedings of the 2006 international symposium on Symbolic and algebraic computation , ISSAC '06, pp.71-78, 2006. ,
DOI : 10.1145/1145768.1145786
Geometric constraint solver using multivariate rational spline functions, Proceedings of the sixth ACM symposium on Solid modeling and applications , SMA '01, pp.1-10, 2001. ,
DOI : 10.1145/376957.376958
Real algebraic numbers: Complexity analysis and experimentations. In Reliable Implementation of Real Number Algorithms: Theory and Practice, LNCS, 2007. ,
DOI : 10.1007/978-3-540-85521-7_4
URL : https://hal.archives-ouvertes.fr/inria-00071370
Curves and surfaces for computer aided geometric design : a practical guide. Comp. science and sci. computing, 1990. ,
Computing the topology of 3- dimensional algebraic curves, Computational Methods for Algebraic Spline Surfaces, pp.27-44, 2005. ,
Efficient topology determination of implicitly defined algebraic plane curves, Computer Aided Geometric Design, vol.19, issue.9, pp.719-743, 2002. ,
DOI : 10.1016/S0167-8396(02)00167-X
A new approach to the surface intersection problem, Computer Aided Geometric Design, vol.14, issue.2, pp.111-134, 1997. ,
DOI : 10.1016/S0167-8396(96)00024-6
Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme, Advances in Computational Mathematics, 2007. ,
DOI : 10.1007/s10444-005-7539-5
On the number of branches of a plane curve germ, Kodai Mathematical Journal, vol.9, issue.2, pp.179-187, 1986. ,
DOI : 10.2996/kmj/1138037200
The local degree of a smooth mapping, Sakharth. SSR Mecn. Akad. Moambe, vol.85, issue.2, pp.309-312, 1977. ,
Subdivision Methods for the Topology of 2d and 3d Implicit Curves, Computational Methods for Algebraic Spline Surfaces, pp.171-186, 2007. ,
DOI : 10.1007/978-3-540-72185-7_11
URL : https://hal.archives-ouvertes.fr/inria-00130216
Degree theory, Cambridge Tracts in Mathematics, issue.73, 1978. ,
Marching cubes: A high resolution 3D surface construction algorithm, ACM SIGGRAPH Computer Graphics, vol.21, issue.4, pp.163-170, 1987. ,
DOI : 10.1145/37402.37422
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.3930
Subdivision methods for solving polynomial equations, Journal of Symbolic Computation, vol.44, issue.3, 2005. ,
DOI : 10.1016/j.jsc.2008.04.016
URL : https://hal.archives-ouvertes.fr/inria-00070350
Bernstein's basis and real root isolation, Mathematical Sciences Research Institute Publications, pp.459-478, 2005. ,
Isotopic meshing of a real algebraic surface, 2005. ,
URL : https://hal.archives-ouvertes.fr/inria-00070499
On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree, Journal of Complexity, vol.18, issue.2, pp.612-640, 2002. ,
DOI : 10.1006/jcom.2001.0636
SCCI-HYBRID METHODS FOR 2D CURVE TRACING, International Journal of Image and Graphics, vol.05, issue.03, pp.447-480, 2005. ,
DOI : 10.1142/S0219467805001859
Interactive Visualization of Implicit Surfaces with Singularities, Implicit Surfaces, pp.73-87, 1996. ,
DOI : 10.1111/1467-8659.00196
Algorithm for algebraic curve intersection, Computer-Aided Design, vol.21, issue.9, pp.547-554, 1989. ,
DOI : 10.1016/0010-4485(89)90015-8
Contouring 1-and 2-Manifolds in Arbitrary Dimensions, SMI'05, pp.218-227, 2005. ,
Computation of the solutions of nonlinear polynomial systems, Computer Aided Geometric Design, vol.10, issue.5, pp.379-405, 1993. ,
DOI : 10.1016/0167-8396(93)90019-Y
Computing the topological degree of a mapping inR n, Numerische Mathematik, vol.2, issue.1, pp.23-38, 1975. ,
DOI : 10.1007/BF01419526
On the number of branches of a $1$-dimensional semianalytic set, Kodai Mathematical Journal, vol.11, issue.1, pp.78-85, 1988. ,
DOI : 10.2996/kmj/1138038822