三次带多形状参数双曲均匀B样条曲线  

Cubic Hyperbolic Uniform B-spline with Multiple Shape Parameters

作　　者：韩敬利[1] 董会[1] 王兆丽[1] 

机构地区：[1]中国人民解放军理工大学指挥自动化学院,南京210007

出　　处：《科学技术与工程》2011年第26期6471-6473,共3页Science Technology and Engineering

摘　　要：提出一类带多形状参数的三次双曲均匀B样条曲线基函数。由这组基函数组成的三次双曲均匀B样条曲线具有很多与三次B样条曲线类似的性质和几何结构,并且可以精确表示双曲线。通过形状参数的不同取值,这类曲线的形状既能整体又能局部变化,作为一种新的几何造型方法,可应用于CAD/CAM领域。A new class of basis functions was present to construct cubic hyperbolic B-spline with multiple shapeparameters. This kind of curve combines the main properties of the standard B-spline, and the hyperbolic can be explicitly expressed . The shape of such curves can be adjusted totally or locally by changing the values of the shape parameters. As a new geometric modeling method, generating of such curves and surfaces can be applied in CAD/CAM.

关 键 词：多形状参数 B样条曲线 基函数 双曲 形状调控 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]