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We use a combination of both algebraic and numerical
techniques to construct a $C^1$-continuous, piecewise $(m,n)$
rational $\epsilon$-approximation of a real algebraic plane curve of
degree $d$.
...
Determining the Topology of Real Algebraic Surfaces
Determining Topology Real Algebraic Surfaces
2013/9/9
An algorithm is proposed to determine the topology of an implicit real algebraic surface inR3. The algorithm consists of three steps:surface projection,projection curve topology determination and surf...
Rational quadratic approximation to real algebraic curves
Real algebraic curve Parametrization Approximation Topology determination
2013/9/9
An algorithm is proposed to give a global approximation of an implicit real plane algebraic curve with rational quadratic B-spline curves. The algorithm consists of four steps: topology determination,...