Two-order Hermite vector-interpolating subdivision schemes

作     者：FAN Min KANG Bao-sheng ZHAO Hua 

作者机构：Beijing Institute of Tracking and Telecommunication Technology Beijing 100094 China Department of Computer Sctence Northwest University Xi＇an 710069 China 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2006年第7卷第9期

页      面：1566-1571页

核心收录：

学科分类：081203[工学-计算机应用技术] 08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Two-order vectorial Hermite element Hermite-interpolating subdivision schemes Geometric features 

摘      要：A family of two-order Hermite vector-interpolating subdivision schemes is proposed and its convergence and con- tinuity are analyzed. The iterative level can be estimated for given error. The sufficient conditions of C2 continuity are proved. Geometric features of subdivision curves, such as line segments, cusps and inflection points, are obtained by appending some conditions to initial vectorial Hermite sequence. An algorithm is presented for generating geometric features. For an initial se- quence of two-order Hermite elements from unit circle, the numerical error of the 4th subdivided level is O(10?4).