Discussion on the convexity of cubic triangular Bezier surfaces

摘要

Cubic Bezier surface is a popular surface used in geometry modeling and computer graphics. In this paper, we investigate the relationship between the triangular Bezier surface and the B-net, and analysis the convexity of cubic triangular Bezier surfaces. Some sufficient and necessary conditions for the convexity are obtained. These conditions are good for controlling the convexity in surface modeling.