Elias' Article

synaps, a library for dedicated applications in symbolic numeric computations.
Bernard Mourrain, Jean-Pascal Pavone, Philippe. Trébuchet, Elias P. Tsigaridas, and Julien Wintz.
In M. Stillman, N. Takayama, and J. Verschelde, editors, IMA Volumes in Mathematics and its Applications, pp. 81–110, Springer, New York, 2007.

• Home
• Research
• Teaching
• Contact

Files:

[PDF] 859.0kB  [gzipped postscript] 1014.2kB  

Abstract:

We present an overview of the open source library \synaps. We describe some of the representative algorithms of the library and illustrate them on some explicit computations, such as solving polynomials and computing geometric information on implicit curves and surfaces. Moreover, we describe the design and the techniques we have developed in order to handle a hierarchy of generic and specialized data-structures and routines, based on a view mechanism. This allows us to construct dedicated plugins, which can be loaded easily in an external tool. Finally, we show how this design allows us to embed the algebraic operations, as a dedicated plugin, into the external geometric modeler \Axel.

@InCollection{mpttw-ima-2007,
  title =        {\textsc{synaps}, a library for dedicated
                  applications in symbolic numeric computations},
  author =       {Bernard Mourrain and Jean-Pascal Pavone and
                  Philippe. Tr{\'e}buchet and Elias~P. Tsigaridas and
                  Julien Wintz},
  editor =       {M. Stillman and N. Takayama and J. Verschelde},
  booktitle =    {IMA Volumes in Mathematics and its Applications},
  publisher =    {Springer, New York},
  pages =        {81--110},
  year =         2007,
  abstract =     " We present an overview of the open source library
                  \synaps. We describe some of the representative
                  algorithms of the library and illustrate them on
                  some explicit computations, such as solving
                  polynomials and computing geometric information on
                  implicit curves and surfaces. Moreover, we describe
                  the design and the techniques we have developed in
                  order to handle a hierarchy of generic and
                  specialized data-structures and routines, based on a
                  view mechanism.  This allows us to construct
                  dedicated plugins, which can be loaded easily in an
                  external tool.  Finally, we show how this design
                  allows us to embed the algebraic operations, as a
                  dedicated plugin, into the external geometric
                  modeler \Axel.",
}

Generated by bib2html.pl (written by Patrick Riley , modified by Elias ) on Wed Oct 23, 2019 21:41:02