Axel swMATH ID: 6457 Software Authors: Julien Wintz; Bernard Mourrain; Anaïs Ducoffe; Meriadeg Perrinel; Angelos Mantzaflaris Description: Axel is an algebraic geometric modeler that aims at providing “algebraic modeling” tools for the manipulation and computation with curves, surfaces or volumes described by semi-algebraic representations. These include parametric and implicit representations of geometric objects. Axel also provides algorithms to compute intersection points or curves, singularities of algebraic curves or surfaces, certified topology of curves and surfaces, etc. A plugin mechanism allows to extend easily the data types and functions available in the plateform. Homepage: http://axel.inria.fr/ Related Software: insulate; SINGULAR; SYNAPS; Lgp; Mathematica; Maple; CGAL; GAIA; GENOM3CK; MultRoot; Mathemagix; ISOLATE; Matlab; Geometer's Sketchpad; Minksum; VisPak; Trelis; GeoCalcLib; VaryLab; Detri Cited in: 22 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A symbolic-numeric algorithm for genus computation. Zbl 1250.65037Hodorog, Mădălina; Schicho, Josef 2012 all top 5 Cited by 37 Authors 6 Mourrain, Bernard 4 Schicho, Josef 3 Cheng, Jinsan 3 Hodorog, Mădălina 3 Pavone, Jean-Pascal 2 Alcazar, Juan Gerardo 2 Galligo, André 2 Jin, Kai 2 Jüttler, Bert 2 Wintz, Julien 1 Alberti, Lionel F. 1 Barton, Michael H. 1 Berberich, Eric 1 Boissonnat, Jean-Daniel 1 Chalmovianský, Pavel 1 Clamond, Didier 1 Diatta, Daouda Niang 1 Dokken, Tor 1 Dutykh, Denys 1 El Kahoui, M’hammed 1 Gao, Xiaoshan 1 Gatellier, G. 1 Goodman, Jacob Eli 1 Kerber, Michael 1 Labrouzy, A. 1 Lazard, Daniel 1 Li, Ming 1 Liang, Chen 1 O’Rourke, Joseph 1 Ruatta, Olivier 1 Sagraloff, Michael 1 Sendra, Juan Rafael 1 Técourt, Jean-Pierre 1 Teillaud, Monique 1 Tóth, Csaba D. 1 Trébuchet, Philippe 1 Tsigaridas, Elias P. all top 5 Cited in 8 Serials 3 Computer Aided Geometric Design 3 Journal of Symbolic Computation 1 Theoretical Computer Science 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Systems Science and Complexity 1 ACM Communications in Computer Algebra 1 Mathematics and Visualization 1 Discrete Mathematics and its Applications all top 5 Cited in 13 Fields 16 Numerical analysis (65-XX) 14 Algebraic geometry (14-XX) 14 Computer science (68-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year