Bézier曲线曲面的同次扩展
Journal Title: Science Paper Online - Year 2011, Vol 6, Issue 10
Abstract
在几何造型中，为了更加灵活地调控曲线曲面的形状，定义了一类带多形状参数的多项式基函数。同次Bernstein基函数是该基函数的特例，且二者具有类似的几何性质。利用该基函数构造了带形状参数的多项式参数曲线曲面，它们分别具有同次Bézier曲线曲面的形状特点。通过改变形状参数的取值可以整体或局部调控曲线曲面的形状。数值实例表明新方法在计算机辅助几何设计中是灵活有效的。
Authors and Affiliations
Zhi Liu, Xiaoyan Chen, Li Zhang, Jun Shi
Keywords
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