Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the implicit support function representation for this purpose which can in certain cases considerably simplify this task. We describe possible strategies and demonstrate them on a simple example. We also exploit the implicit support function for a features-preserving approximation of the graph topologically equivalent to the curve. This contribution is meant as a first step towards an algorithm combining classical approaches with the dual description via the support function. © Springer-Verlag 2014.
CITATION STYLE
Blažková, E., & Šír, Z. (2014). Exploiting the implicit support function for a topologically accurate approximation of algebraic curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8177 LNCS, pp. 49–67). Springer Verlag. https://doi.org/10.1007/978-3-642-54382-1_4
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