Name
Abstract | ||
|---|---|---|
We describe an algorithm for implicitizing rational hypersurfaces with at most a finite number of base points, based on a technique described in Buse, Laurent, Jouanolou, Jean-Pierre [2003. On the closed image of a rational map and the implicitization problem. J. Algebra 265, 312-357], where implicit equations are obtained as determinants of certain graded parts of an approximation complex. We detail and improve this method by providing an in-depth study of the cohomology of such a complex. In both particular cases of interest of curve and surface implicitization we also present algorithms which involve only linear algebra routines. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.jsc.2004.04.005 | J. Symb. Comput. |
Keywords | DocType | Volume |
J. Algebra,finite number,closed image,certain graded part,base point,rational hypersurfaces,Base points,Implicitization,rational map,Approximation complexes,approximation complex,Syzygies,surface implicitization,implicitization problem | Journal | 40 |
Issue | ISSN | Citations |
4-5 | Journal of Symbolic Computation | 13 |
PageRank | References | Authors |
0.89 | 5 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Busé | 1 | 131 | 14.74 |
| Marc Chardin | 2 | 28 | 3.36 |