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cs.SC2009
Local Shape of Generalized Offsets to Algebraic Curves
Juan Gerardo Alcazar
In this paper we study the local behavior of an algebraic curve under a geometric construction which is a variation of the usual offsetting construction, namely the {\it generalize…
cs.SC2008
Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters
Juan Gerardo Alcazar
Given the implicit equation of a family of algebraic plane curves depending on the parameters , we provide an algorithm for studying the topology types arising in…