Intersecting biquadratic Bézier surface patches. (English) Zbl 1137.53301

Chau, Stéphane; Oberneder, Margot; Galligo, André; Jüttler, Bert

Jüttler, Bert (ed.) et al., Geometric modeling and algebraic geometry. Berlin: Springer (ISBN 978-3-540-72184-0/hbk). 161-180 (2008).

Summary: We present three symbolic-numeric techniques for computing the intersection and self-intersection curve(s) of two Bézier surface patches of bidegree \((2,2)\). In particular, we discuss algorithms, implementation, illustrative examples and provide a comparison of the methods.
For the entire collection see [Zbl 1123.53003].

MSC:

53A05	Surfaces in Euclidean and related spaces
65D17	Computer-aided design (modeling of curves and surfaces)

Keywords:

CAD; solid modeling; brute-force approach; intersection curve