报告摘要：

   The reconstruction is one of important questions for discussion in computer-aided design. It is important that constructs subdivision scheme, the analysis of convergence, the adjustment of the surface shape, and the applications of curves or surfaces modeling in the question of reconstruction. Studying curves or surfaces modeling and their applications has an important significance to the development of computer-aided design.

   To solve inflexibility shortcomings of the classical four-point subdivision scheme, we studied four-point subdivision scheme with three parameters and gives the sufficient conditions of continuity for limit curves and surfaces. We can control the limit surfaces or curves through adjusting three parameters suitably. This method can model smooth approximating surfaces or curves numerically and theoretically. The scheme is characterized by simplicity and flexibility, and offer an effective tool for surfaces or curves modeling.

报告时间： 2006年11月8日(周三) 下午4:00--5:00

报告地点：科技综合楼三层311报告厅