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B样条曲线曲面降阶综述
Overview on Degree Reduction of B-Spline Curves and Surfaces
【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。
【Abstract】 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.
【关键词】 计算机应用;
曲线曲面降阶;
综述;
B样条;
【Key words】 computer applications; degree reduction of curves and surfaces; overview; B-spline;
【Key words】 computer applications; degree reduction of curves and surfaces; overview; B-spline;
【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)
- 【文献出处】 工程图学学报 ,Journal of Engineering Graphics , 编辑部邮箱 ,2009年02期
- 【分类号】TP391.7
- 【被引频次】5
- 【下载频次】307