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- Szilvia Béla, Bert Jüttler
- Curves and Surfaces
- 2010

We introduce a new method to approximate algebraic space curves. The algorithm combines a subdivision technique with local approximation of piecewise regular algebraic curve segments. The local technique computes pairs of polynomials with modified Taylor expansions and generates approximating circular arcs. We analyze the connection between the generated… (More)

- Szilvia Béla, Bert Jüttler
- MMCS
- 2008

We present an algorithm generating a collection of fat arcs which bound the zero set of a given bivariate polynomial in Bernstein– Bézier representation. We demonstrate the performance of the algorithm (in particular the convergence rate) and we apply the results to the computation of intersection curves between implicitly defined algebraic surfaces and… (More)

- Szilvia Béla, Bert Jüttler
- Reliable Computing
- 2012

We present a new algorithm to approximate real roots of multivari-ate polynomial systems. This algorithm combines the standard subdivision technique with a new domain reduction strategy. We introduce fat spheres as multidimensional quadratic enclosures for algebraic hyper-surfaces. Then we present a local reformulation technique of the algebraic system,… (More)

- Márta Szilvási-Nagy, Gyula Mátyási, Szilvia Béla
- ArXiv
- 2012

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