We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
Eric Berberich, Pavel Emeliyanenko, Alexander Kobe...
Given a Cylindrical Algebraic Decomposition of an implicit algebraic curve, visualizing distinct curve arcs is not as easy as it stands because, despite the absence of singularitie...
Pavel Emeliyanenko, Eric Berberich, Michael Sagral...
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....