G~1 continuity between toric surface patches

摘要

Toric surface patches are a multi-sided generalization of classical rational Bezier surface patches which are widely used in free-form surface modeling. In this paper, we present the first derivatives of toric surface patches along the boundary and study the G~1 continuity between adjacent toric surface patches by the toric degenerations. Furthermore, some practical G~1 sufficient conditions of toric surface patches are developed and the representative examples are given.