%0 Journal Article %A Pérez Díaz, Sonia %A Blasco Lorenzo, Ángel %T A survey on recent advances and future challenges in the computation of asymptotes %D 2019 %@ 0161-1712 %U http://hdl.handle.net/10017/42182 %X In this paper, we summarize two algorithms for computing all the generalizedasymptotes of a plane algebraic curve implicitly or parametrically de-fined. The approach is based on the notion of perfect curve introducedfrom the concepts and results presented in [Blasco and Pérez-Díaz(2014)],[Blasco and Pérez-Díazz(2014-b)] and [Blasco and Pérez-Díaz(2015)]. From these results, we derive a new method that allow to easily compute horizontal and vertical asymptotes. %K Implicit algebraic plane curve %K Parametric plane curve %K Infinity branches %K Asymptotes %K Perfect curves %K Approaching curves %K Matemáticas %K Mathematics %~ Biblioteca Universidad de Alcala