摘要
B样条曲线曲面的降阶是样条曲线和曲面造型中的关键技术之一,为了实现不同CAD系统之间的数据交换,常用到这一技术,它已成为热点问题,得到越来越多的研究。结合作者在该领域的研究成果,文章综述了近年来国内外专家学者关于B样条曲线曲面的降阶逼近研究的方法、理论成果及实际应用情况,并对各种不同的方法进行了分析比较。
Degree reduction of B-spline curves and surfaces is a key technology in curve and surface modeling and it is widely used to exchange data between different CAD systems. Therefore, degree reduction of B-spline curves and surfaces has been a research hotspot and drawn more and more attention. An overview on the methods, results and applications of degree reduction of B-spline curves and surfaces in recent years are given combined with the author's work in this field. Besides, the comparison for those methods is also described.
出处
《工程图学学报》
CSCD
北大核心
2009年第2期1-8,共8页
Journal of Engineering Graphics
基金
国家自然科学基金资助项目(60403036
60603077
60673151)
山东省自然科学基金资助项目(Y2006G31)
关键词
计算机应用
曲线曲面降阶
综述
B样条
computer applications
degree reduction of curves and surfaces
overview
B-spline