计算机工程与应用2011,Vol.47Issue(2):194-196,3.DOI:10.3778/j.issn.1002-8331.2011.02.058
曲面三参数binary细分法
Binary subdivision scheme with three parameters for surface design
摘要
Abstract
As extension of the classical 4-point interpolating subdivision scheme,an improved scheme to design subdivision curves using three control parameters is presented. The sufficient conditions of the uniform convergence property and C continuity properties of this subdivision scheme are proved.At the same time, it is extended to surface design. Given the condition of the initial data,it's very easy to adjust and control the surface shape through selecting appropriate parameters. The scheme can solve the problems of position adjustment and shape control of curves and surfaces that exist in engineering.关键词
细分法/极限曲面/曲面造型Key words
subdivision scheme /limit surface/ surface modeling分类
信息技术与安全科学引用本文复制引用
段建伟,彭国华,胡玫瑰..曲面三参数binary细分法[J].计算机工程与应用,2011,47(2):194-196,3.基金项目
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60672135). (the National Natural Science Foundation of China under Grant No.60672135)