纺织高校基础科学学报2012，Vol.25Issue(2)：204-208,5.
带有2个形状参数的Ball曲线和曲面的扩展
Expansion of Ball curves and surfaces with two shape parameters
摘要
Abstract
A class of quartic polynomial basis functions with two shape parameters is constructed, the properties of this class of basis functions are analyzed and a polynomial curve with two parameters is defined based on it. The defined curve not only inherits the properties of Ball curves, but it is also adjustable in the shape with different parameters under the same controlling vertex and fits close to the control polygon. The classical cubic Ball curve and the curves in the related literature are the special cases of this paper. Moreover, the tensor product method is used to extend the curve to surface. Some examples show that the curve and surface defined in this paper provide an effective method for designing curves and surfaces.关键词
计算机应用/Ball曲线/形状参数/曲线设计Key words
computer applications Ball curves shape parameters curve design分类
信息技术与安全科学引用本文复制引用
王成伟..带有2个形状参数的Ball曲线和曲面的扩展[J].纺织高校基础科学学报,2012,25(2):204-208,5.基金项目
北京市教育委员会科技发展计划面上项目(KM201010012010) （KM201010012010）
