均匀B样条曲线曲面的扩展  

EXPANSION OF UNIFORM B-SPLINES CURVES AND SURFACES

作　　者：郭清伟[1] 熊建[1] 朱功勤[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009

出　　处：《计算机应用与软件》2010年第4期114-117,共4页Computer Applications and Software

基　　金：安徽省自然科学资金(070416227)

摘　　要：在多项式空间提出了一种带k个形状参数的k次均匀B样条,这类曲线与标准k次均匀B样条类似,每段曲线由k+1个控制顶点生成,它们不仅具有k次均匀B样条许多常见性质,而且利用形状参数的不同取值能够整体或局部调控曲线曲面形状。包含标准均匀B样条为其特例。A kind of k degree uniform B-splines with k shape parameters is presented in polynomial space.Analogous to the standard k degree uniform B-splines,each curve segment of this kind of curves is generated by k ＋ 1 consecutive control points.Apart from that they possess most of the common properties the k degree uniform B-splines have,by taking different values of shape parameters,the shape of their curves and surfaces can be adjusted entirely or locally.The one includes the standard uniform B-splines is a special case of them.

关 键 词：多形状参数 均匀B样条曲线曲面 整体或局部调控 基函数 连续性 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]