摘要
在曲线光顺的传统能量法与最小二乘法的基础上,提出了一种新的B样条曲线光顺算法-最小二乘能量法。只需指定相关参数或权因子的值,该方法即能自动完成曲线光顺过程。经该方法光顺后的曲线不仅应变能较小,且曲率变化较均匀。同时通过迭代调整控制顶点位置,使光顺前后曲线达到一定的逼近性要求。
Based on the curve fairing methods of energy and least squares, a new algorithm-least squares-energy method, for fairing of B-spline curves is proposed. Once several related parameters appointed, this algorithm can automatically perform the fairing process. Furthermore, this algorithm guarantees the faired curves with low strain energy and evenly curvature shift. By iteratively adjusting positions of control vertices, the desired approximation between curves before and after fairing can be attained.
出处
《机电产品开发与创新》
2005年第1期93-95,共3页
Development & Innovation of Machinery & Electrical Products
关键词
B样条曲线
光顺
最小二乘能量法
逼近
B-spline curves
fairing
least squares-energy method
approximation
