Interpolation to C1 Boundary Conditions by Polynomial of Degree Siz

摘要：

A new method for constructing triangular patches to pass the C1 interpolation conditions (boundary curves and cross-boundary slopes), on the boundary of triangles is presented. The triangular patch is constructed by a basic triangular operator and an error triangular operator. The basic operator is a polynomial of degree six, which approximates the interpolation conditions with a higher approximation precision, while the error operator is constructed by the side-vertex method, which passes the C1 error boundary conditions. The C1 error boundary conditions are formed by the C1 interpolation conditions minus the boundary curves and cross-boundary slopes taken from the basic operator. The basic operator and the error operator are put together to form the triangular patch. Comparison results of the new method with other two methods are included.

关键词： infinite interpolation triangular patch polynomial

作者: Caiming Zhang Feng Li Dongmei Niu Xingqiang Yang

作者单位: School of Computer Science and Technology, Shandong University, Jinan, China, 250061 Department of C School of Computer Science and Technology, Shandong University, Jinan, China, 250061

会议类型: 国际会议

会议名称: IEEE International Conference on Shape Modeling and Applications (SMI)(2009年形状建模国际会议)

会议地点: 北京

会议语种:英文

页码: 126-131

在线出版日期: 2009-06-26（万方平台首次上网日期，不代表论文的发表时间）