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Efficient topology determination of implicitly defined algebraic plane curves |
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| Authors: | Laureano Gonzalez-Vega Ioana Necula |
| Affiliation: | Departamento de Matematicas, Estadistica y Computacion Facultad de Ciencias, Universidad de Cantabria, Santander 39005, Spain |
| Abstract: | This paper is devoted to present a new algorithm computing in a very efficient way the topology of a real algebraic plane curve defined implicitly. This algorithm proceeds in a seminumerical way by performing a symbolic preprocessing which allows later to accomplish the numerical computations in a very accurate way. |
| Keywords: | Algebraic curves Seminumerical algorithms Topology computation |
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