Arbitrary Subdivision Algorithm and Joining of C-B-spline
C-B-spline carves are an extension of cubic uniform B-spline curves.In addition to having many properties that B-spline curves have,they have all adjustable shape parameter a,and can represent arcs precisely.This paper presents the subdivision algorithm and G1 condition of C-B-spline curves based on the analysis of C-B-spline basis functions and terminal properties.The G1 and G2 continuous conditions between C-B-spline curves and cubic aniform B-spline carves are giyen.The resnits have deftnite geometric meanings that are useful for the shape modification and representation of C-B-spline curves.and they can also be extended to surface modeling with C-B-spline.
C-B-spline cubic uniform B-spHne joining subdivision
Qin Xinqiang Song Liping
国际会议
The International Conference Information Computing and Automation(2007国际信息计算与自动化会议)
成都
英文
728-731
2007-12-19(万方平台首次上网日期,不代表论文的发表时间)