基于曲率均化的B样条曲线能量光顺方法  

An Energy Minimization Fairing Method for B-spline Curve with Equable Curvature Variation

作　　者：王莹莹[1] 刘德平[1] 陈建军[2] 余水晶[1] 

机构地区：[1]郑州大学机电一体化研究所,河南郑州450001 [2]西安电子科技大学机电工程学院,陕西西安710071

出　　处：《机床与液压》2010年第3期94-96,83,共4页Machine Tool & Hydraulics

基　　金：国家"863"高技术研究发展计划资助项目(2006AA04Z402);河南省教育厅自然科学基金资助项目(200510459060)

摘　　要：逆向工程CAD建模中曲线质量的好坏直接影响到整个曲面的质量,因此对关键曲线的光顺处理问题成为CAD建模的重点。传统的能量法是以曲线的应变能最小作为光顺准则,不能保证曲线曲率变化小。基于此提出一种改进的优化光顺模型,使曲线的光顺性及逼近性提高的同时,曲线的曲率变化也更加均匀。并通过实例进行验证,结果表明,利用文中的方法可使曲线光顺后曲率的平滑状况提高。In reverse engineering, the quality of special curves affect the quality of whole curved surface in CAD modeling, so it is important to fair the special curves. The criterion of traditional energy minimization method is minimum strain energy on fairing curves, but the small curvature variety can＇t be ensure. An optimum fairing model was presented, the curves fairing and approximation were improved and curvature variation was equable. Experimental results show that the curve fairing is improved by using this method.

关 键 词：B样条曲线 光顺 能量法 曲率均化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]