This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Goldman, R. Krasaukas (Eds.). Topics in Algebraic Goemetry and Geometric Modeling. Contemporary Mathematics 334 (2003).
L. Busé. Algorithms for the implicitization using approximation complexes. (http://www-sop.inria.fr/galaad/personnel/Laurent.Buse/program.html).
L. Busé, M. Chardin. Implicitizing rational hypersurfaces using approximation complexes. J. Symbolic Computation (to appear).
L. Busé, D. Cox, C. D’Andréa. Implicitization of surfaces in P3 in the presence of base points. J. Algebra Appl. 2 (2003), 189-214.
L. Busé, J.-P. Jouanolou. On the closed image of a rational map and the implicitization problem. J. Algebra 265 (2003), 312-357.
M. Chardin. Regularity of ideals and their powers. Preprint 364 (Mars 2004), Institut de Mathématiques de Jussieu, Paris.
D. Cox. Equations of parametric curves and surfaces via syzygies. Contemporary Mathematics 286 (2001), 1-20.
D. Cox, T. Sederberg, F. Chen. The moving line ideal basis of planar rational curves. Comp. Aid. Geom. Des. 15 (1998), 803-827.
D. Cox, R. Goldman, M. Zhang On the validity of implicitization by moving quadrics for rationnal surfaces with no base points. J. Symbolic Computation 29(2000),419-440.
C. D’Andréa. Resultants and moving surfaces. J. of Symbolic Computation 31 (2001),585-602.
D. Eisenbud. Commutative algebra. With a view toward algebraic geometry. Graduate Texts in Mathematics 150. Springer-Verlag, New York, 1995.
W. Fulton. Intersection theory. Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Springer-Verlag, Berlin, 1998.
I. M. Gel’fand, M. Kapranov, A. Zelevinsky. Discriminants, resultants, and mul-tidimensional determinants. Mathematics: Theory & Applications. Birkhäuser Boston, Inc., Boston, MA, 1994.
D. Grayson, M. Stillman. Macaulay 2. (http://www.math.uiuc.edu/Macaulay2/).
R. Hartshorne. Algebraic geometry. Graduate Texts in Mathematics52. Springer-Verlag, New York-Heidelberg, 1977.
D. G. Northcott. Finite free resolutions. Cambridge Tracts in Mathematics 71. Cambridge University Press, Cambridge-New York-Melbourne, 1976.
T. Sederberg, F. Chen. Implicitization using moving curves and surfaces. Pro-ceedings of SIGGRAPH 95, Addison Wesley, 1995, 301-308.
W. Vasconcelos. The Arithmetic of Blowup Algebras. London Math. Soc. Lecture Note Ser. 195. Cambridge University Press, 1994.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chardin, M. (2006). Implicitization using approximation complexes. In: Elkadi, M., Mourrain, B., Piene, R. (eds) Algebraic Geometry and Geometric Modeling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33275-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-33275-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33274-9
Online ISBN: 978-3-540-33275-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)