The Bézout number for piecewise algebraic curves. (English) Zbl 0933.65017

Shi, Xiquan; Wang, Renhong

BIT 39, No. 2, 339-349 (1999).

The authors demonstrate that the maximum number of intersection points between two piecewise algebraic curves (the Bézout number) depends not only on the degrees and the differentiability of the spline functions, but also on the structure of the partition on which the spline functions are defined.
The paper could be interesting too for foams, cellular materials and emulsions modelling.

Reviewer: M.Gaşpar (Iaşi)

MSC:

65D17

Computer-aided design (modeling of curves and surfaces)

Keywords:

AOR method; shape parameters; Voronoi diagram; spline functions; triangulations; piecewise algebraic curves; Bézout number