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Journal Articles Computer Aided Geometric Design Year : 2017

Extraction of tori from minimal point sets


A new algebraic method for extracting tori from a minimal point set, made of two oriented points and a simple point, is proposed. We prove a degree bound on the number of such tori; this bound is reached on examples, even when we restrict to smooth tori. Our method is based on pre-computed closed formulae well suited for numerical computations with approximate input data.
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Dates and versions

hal-01553065 , version 1 (03-07-2017)
hal-01553065 , version 2 (08-12-2017)



Laurent Busé, André Galligo. Extraction of tori from minimal point sets. Computer Aided Geometric Design, 2017, 58, pp.1 - 7. ⟨10.1016/j.cagd.2017.10.004⟩. ⟨hal-01553065v2⟩
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