Page 211 - Geometric Modeling and Algebraic Geometry
P. 211
214 C. Liang et al.
8. G. Gatellier, A. Labrouzy, B. Mourrain, and J.-P. T´ ecourt. Computing the topology of
3-dimensional algebraic curves, pages 27–44. Springer-Verlag, 2005.
9. A. Galligo and J.P. Pavone. Self-intersections of a B´ ezier bicubic surface. In M. Kauers,
editor, Proc. Intern. Symp. on Symbolic and Algebraic Computation, pages 148–155.
New-York, ACM Press., 2005.
10. L. Gonz´ alez-Vega and I. Necula. Efficient topology determination of implicitly defined
algebraic plane curves. Computer Aided Geometric Design, 19(9):719–743, 2002.
11. J. Hass, R. T. Farouki, C. Y. Han, X. Song, and T. W. Sederberg. Guaranteed Consistency
of Surface Intersections and Trimmed Surfaces Using a Coupled Topology Resolution
and Domain Decomposition Scheme. Advances in Computational Mathematics, 2005.
To appear.
12. Seong Joon-Kyung, Elber Gershon, and Kim Myung-Soo. Contouring 1- and 2-Manifolds
in Arbitrary Dimensions. In SMI’05, pages 218–227, 2005.
13. J. Keyser, T. Culver, D. Manocha, and S. Krishnan. Efficient and exact manipulation of
algebraic points and curves. Computer-Aided Design, 32(11):649–662, 2000.
14. B. Mourrain and J.-P. Pavone. Subdivision methods for solving polynomial equations.
Technical Report 5658, INRIA Sophia-Antipolis, 2005.
15. B. Mourrain, F. Rouillier, and M.-F. Roy. Bernstein’s basis and real root isolation, pages
459–478. Mathematical Sciences Research Institute Publications. Cambridge University
Press, 2005.
16. J.P. Pavone. Auto-intersection de surfaces pamatr´ees r´eelles. PhD thesis, Universit´ ede
Nice Sophia-Antipolis, 2004.
17. T. Sederberg. Algorithm for algebraic curve intersection. Computer-Aided Design,
21:547–554, 1989.
18. E. C. Sherbrooke and N. M. Patrikalakis. Computation of the solutions of nonlinear
polynomial systems. Comput. Aided Geom. Design, 10(5):379–405, 1993.
19. J.-Ph. Thirion and A. Gourdon. The 3D Marching Lines Algorithm and its Applications
to Crest Lines Extraction. Technical Report 1672, INRIA, 1992.
20. J.-Ph. Thirion and A. Gourdon. Computing the Differential Characteristics of Isointensity
Surfaces. Computer Vision and Image Understanding, 61(2):190–202, 1995.