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    Article

    Visualizing Planar and Space Implicit Real Algebraic Curves with Singularities

    This paper presents a new method for visualizing implicit real algebraic curves inside a bounding box in the 2-D or 3-D ambient space based on numerical continuation and critical point methods. The underlying ...

    Changbo Chen, Wenyuan Wu, Yong Feng in Journal of Systems Science and Complexity (2020)

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    Chapter and Conference Paper

    Real Root Isolation of Regular Chains

    We present an algorithm RealRootIsolate for isolating the real roots of a polynomial system given by a zerodimensional squarefree regular chain. The output of the algorithm is guaranteed in the sense that all rea...

    François Boulier, Changbo Chen, François Lemaire, Marc Moreno Maza in Computer Mathematics (2014)

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    Chapter and Conference Paper

    An Incremental Algorithm for Computing Cylindrical Algebraic Decompositions

    In this paper, we propose an incremental algorithm for computing cylindrical algebraic decompositions. The algorithm consists of two parts: computing a complex cylindrical tree and refining this complex tree i...

    Changbo Chen, Marc Moreno Maza in Computer Mathematics (2014)