Section: New Results

Extraction of tori from minimal point sets

Participants : Laurent Busé, André Galligo.

In [7], 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.