Geometric modeling with quasi-Hermite curves and surfaces

摘要：

A class of quasi-Hermite base function is established in space Γ=1, t, sin t, cos t, cos 2t. The corresponding quasi-Hermite curves with a shape parameter α are defined by the introduced base function. The curves can easily be adjusted by using the shape parameter α. With the parameter chosen properly , the defined curves can precisely be used to represent straight line segment, circular arcs, elliptic arcs, cycloid, sine and cosine curves. And quasi- Coons surface is defined by quasi-Hermite base function in stand of Hermite base function. At last, the quasi-bicubic Coons surfaces is discussed especially, and the surfaces can represent spherical surfaces, ellipsoid, cylinder, anchor ring and circular conical surface exactly.

作者: Sugen Chen Benyue Su

作者单位: School of Mathematics & Computational Science,Anqing Teachers College,Anqing 246011, China School of Computer & Information,Institute of Computer Applications,Anqing Teachers College,Anqing 2

会议类型: 国际会议

会议名称: 11th IEEE International Conference on Computer-Aided Design and Computer Graphics(第11届IEEE国际计算机辅助设计与图形学学术会议 IEEE CAD/GRAPHICS 2009)

会议地点: 黄山

会议语种:英文

页码: 300-305

在线出版日期: 2009-08-19（万方平台首次上网日期，不代表论文的发表时间）