Jin, Kai; Cheng, Jinsan On the complexity of computing the topology of real algebraic space curves. (English) Zbl 1467.14147 J. Syst. Sci. Complex. 34, No. 2, 809-826 (2021). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14Q05 68U05 68U07 68W30 PDFBibTeX XMLCite \textit{K. Jin} and \textit{J. Cheng}, J. Syst. Sci. Complex. 34, No. 2, 809--826 (2021; Zbl 1467.14147) Full Text: DOI arXiv
Jin, Kai; Cheng, Jinsan Isotopic meshing of a real algebraic space curve. (English) Zbl 1455.14117 J. Syst. Sci. Complex. 33, No. 4, 1275-1296 (2020). MSC: 14Q30 14Q65 68U07 65D17 PDFBibTeX XMLCite \textit{K. Jin} and \textit{J. Cheng}, J. Syst. Sci. Complex. 33, No. 4, 1275--1296 (2020; Zbl 1455.14117) Full Text: DOI
Jin, Kai; Cheng, Jinsan On the topology and isotopic meshing of plane algebraic curves. (English) Zbl 1439.14106 J. Syst. Sci. Complex. 33, No. 1, 230-260 (2020). MSC: 14H50 14Q65 68W30 65D17 PDFBibTeX XMLCite \textit{K. Jin} and \textit{J. Cheng}, J. Syst. Sci. Complex. 33, No. 1, 230--260 (2020; Zbl 1439.14106) Full Text: DOI
Kaihnsa, Nidhi; Kummer, Mario; Plaumann, Daniel; Namin, Mahsa Sayyary; Sturmfels, Bernd Sixty-four curves of degree six. (English) Zbl 1440.14270 Exp. Math. 28, No. 2, 132-150 (2019). MSC: 14P25 14H50 68W30 PDFBibTeX XMLCite \textit{N. Kaihnsa} et al., Exp. Math. 28, No. 2, 132--150 (2019; Zbl 1440.14270) Full Text: DOI arXiv
Imbach, Rémi; Moroz, Guillaume; Pouget, Marc A certified numerical algorithm for the topology of resultant and discriminant curves. (English) Zbl 1354.14052 J. Symb. Comput. 80, Part 2, 285-306 (2017). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14H50 14H20 14P05 14Q05 65Y04 PDFBibTeX XMLCite \textit{R. Imbach} et al., J. Symb. Comput. 80, Part 2, 285--306 (2017; Zbl 1354.14052) Full Text: DOI arXiv HAL
Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. (English) Zbl 1285.14065 Comput. Aided Geom. Des. 30, No. 7, 675-706 (2013). MSC: 14P25 65D17 14-04 68W30 PDFBibTeX XMLCite \textit{R. M. Corless} et al., Comput. Aided Geom. Des. 30, No. 7, 675--706 (2013; Zbl 1285.14065) Full Text: DOI Link
Cheng, Jin-San; Jin, Kai; Lazard, Daniel Certified rational parametric approximation of real algebraic space curves with local generic position method. (English) Zbl 1309.14048 J. Symb. Comput. 58, 18-40 (2013). MSC: 14Q05 14P05 41A20 65D17 68W30 PDFBibTeX XMLCite \textit{J.-S. Cheng} et al., J. Symb. Comput. 58, 18--40 (2013; Zbl 1309.14048) Full Text: DOI arXiv
Berberich, Eric; Emeliyanenko, Pavel; Kobel, Alexander; Sagraloff, Michael Exact symbolic-numeric computation of planar algebraic curves. (English) Zbl 1277.68300 Theor. Comput. Sci. 491, 1-32 (2013). MSC: 68W30 14Q05 14H50 PDFBibTeX XMLCite \textit{E. Berberich} et al., Theor. Comput. Sci. 491, 1--32 (2013; Zbl 1277.68300) Full Text: DOI arXiv
Shen, Li-Yong; Cheng, Jin-San; Jia, Xiaohong Homeomorphic approximation of the intersection curve of two rational surfaces. (English) Zbl 1256.65022 Comput. Aided Geom. Des. 29, No. 8, 613-625 (2012). Reviewer: Yankui Sun (Beijing) MSC: 65D18 65D17 PDFBibTeX XMLCite \textit{L.-Y. Shen} et al., Comput. Aided Geom. Des. 29, No. 8, 613--625 (2012; Zbl 1256.65022) Full Text: DOI arXiv
Kerber, Michael; Sagraloff, Michael A worst-case bound for topology computation of algebraic curves. (English) Zbl 1244.14048 J. Symb. Comput. 47, No. 3, 239-258 (2012). Reviewer: David Sevilla (Linz) MSC: 14Q05 14Q20 14P25 65D18 68U05 PDFBibTeX XMLCite \textit{M. Kerber} and \textit{M. Sagraloff}, J. Symb. Comput. 47, No. 3, 239--258 (2012; Zbl 1244.14048) Full Text: DOI
Alcázar, Juan Gerardo; Díaz-Toca, Gema María Topology of 2D and 3D rational curves. (English) Zbl 1210.65031 Comput. Aided Geom. Des. 27, No. 7, 483-502 (2010). MSC: 65D17 PDFBibTeX XMLCite \textit{J. G. Alcázar} and \textit{G. M. Díaz-Toca}, Comput. Aided Geom. Des. 27, No. 7, 483--502 (2010; Zbl 1210.65031) Full Text: DOI arXiv
Berberich, Eric; Kerber, Michael; Sagraloff, Michael An efficient algorithm for the stratification and triangulation of an algebraic surface. (English) Zbl 1203.65037 Comput. Geom. 43, No. 3, 257-278 (2010). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 65D18 65D17 68W30 14Q10 14P10 PDFBibTeX XMLCite \textit{E. Berberich} et al., Comput. Geom. 43, No. 3, 257--278 (2010; Zbl 1203.65037) Full Text: DOI
Caravantes, Jorge; Gonzalez-Vega, Laureano Computing the topology of an arrangement of implicitly defined real algebraic plane curves. (English) Zbl 1179.65024 J. Zhejiang Univ., Sci. A 9, No. 12, 1685-1693 (2008). MSC: 65D18 PDFBibTeX XMLCite \textit{J. Caravantes} and \textit{L. Gonzalez-Vega}, J. Zhejiang Univ., Sci. A 9, No. 12, 1685--1693 (2008; Zbl 1179.65024) Full Text: DOI
El Kahoui, M’hammed Topology of real algebraic space curves. (English) Zbl 1132.14331 J. Symb. Comput. 43, No. 4, 235-258 (2008). MSC: 14P25 PDFBibTeX XMLCite \textit{M. El Kahoui}, J. Symb. Comput. 43, No. 4, 235--258 (2008; Zbl 1132.14331) Full Text: DOI