On the Topology and Visualization of Plane Algebraic Curves-Reference-Cited by-同舟云学术

On the Topology and Visualization of Plane Algebraic Curves

Published:2015 Issue: Volume: Page:245-259
ISSN:0302-9743
Container-title:Computer Algebra in Scientific Computing
language:
Short-container-title:

Author:

Jin Kai,Cheng Jin-San,Gao Xiao-Shan

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-24021-3_19

Reference42 articles.

1. Akritas, A.G.: An implementation of Vincents Theorem. Numerische Mathematik 36, 53–62 (1980)

2. Alberti, L., Mourrain, B., Wintz, J.: Topology and arrangement computation of semi-algebraic planar curves. Comp. Aid. Geom. Des. 25(8), 631–651 (2008)

3. Alcázar, J.G., Schicho, J., Sendra, J.R.: A delineablity-based method for computing critical sets of algebraic surfaces. J. Symb. Comp. 42, 678–691 (2007)

4. Arnon, D.S., McCallum, S.: A polynomial-time algorithm for the topological type of a real algebraic curve. J. Symb. Comp. 5, 213–236 (1998)

5. Arnon, D.S., Collins, G., McCallum, S.: Cylindrical algebraic decomposition, I: the Basic Algorithm. SIAM Journal on Computing 13(4), 865–877 (1984)

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