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报告题目：Several new splines with applications on surfaces modeling and IGA

报  告  人：朱远鹏

报告时间：2019 年4 月18 日（星期四）下午16:00-17:00                

报告地点：4号楼131室

教学研讨：信息与计算科学专业培养计划和教学大纲研讨

参  与  人：刘深泉  吴广潮  雷秀仁  蒋金山  韩    乐  黄凤辉  刘小兰  陈    培

                    谢    波  吴    瑕  凌卫新  丘东涛  陆子强  刘勇平  梁景鸿  朱远鹏

研讨时间：2019 年4 月18 日（星期四）下午17:00-17:30                

研讨地点：4号楼131室

数学学院

2019年4 月16 日

报告摘要：

In this report, we shall introduce several new developed splines, including C∞  interpolation and approximation unified splines, interpolation splines over T-meshes and interpolation splines over triangular domain. Some important properties of these new splines, including partition of unity, linear independence and non-negativity, are discussed in detail. These new splines possess tension shape parameters, with which we can adjust the corresponding shape of spline curves and surfaces interactively. Furthermore, some applications of these new splines on modeling parametric surfaces and isogeometric design (IGA) are shown.