一类G^2连续的CC-Bézier保凸插值曲线  

G^2 Continuous C-Bézier Curves with Shape Preserving Interpolation

作　　者：苏本跃[1] 余宏杰[1] 

机构地区：[1]合肥工业大学数学与信息科学系,安徽合肥230009

出　　处：《安徽技术师范学院学报》2003年第2期165-169,共5页Journal of Anhui Agrotechnical Teachers College

基　　金：安庆师范学院青年教师科研基金 ( 0 1Yi1 0 0 3 )

摘　　要：本文给出了一种G2 连续的C Béｚｉｅｒ保凸插值曲线的算法,在每相邻型值点之间增加两个结点构造一段C Béｚｉｅｒ参数曲线,增加的结点仅通过几何方法即可实现,所构造的曲线是保凸和G2连续的并且可通过控制参数{t _i}、{λ_i}及α进行局部修改。This paper present convexity preserving interpolation algorithm for C Bézier curves which is G 2 continuous, The control points of the C Bézier to be constructed can be computed simply by the given data set {P i=(x i,y i)} only using the geometric method. The local modification to the C Bézier curve can be completed by adjusting the corresponding control parameters {t i}or.

关 键 词：CAGD G^2连续 C-Bezier 保凸插值 

分 类 号：O18[理学—数学]