Approximating algebraic space curves by circular arcs. (English) Zbl 1352.65050

Béla, Szilvia; Jüttler, Bert

Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 7th international conference, Avignon, France, June 24–30, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-27412-1/pbk). Lecture Notes in Computer Science 6920, 157-177 (2012).

Summary: 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 approximating arcs and the osculating circles of the algebraic curve.
For the entire collection see [Zbl 1229.65002].

MSC:

65D17

Computer-aided design (modeling of curves and surfaces)

Keywords:

algebraic space curve; circular arc; subdivision