摘要
目前文献中的B样条曲线逼近偏差计算方法的可靠性较差,为了改善计算结果的准确性和可靠性,提出了一种基于邻域搜索比较的偏差求解方法。在求得逼近曲线之后,首先将所有离散数据点参数化,并求出各数据点在曲线上的对应点;然后针对某具体的数据点,将曲线在其对应点邻域内细分成若干个临时点,并分别计算出该数据点与各临时点间的距离;最后将最短距离作为曲线与该数据点间的逼近偏差。仿真实验验证了该方法的可行性和有效性。
For B - spline curve approximation error calculation, the reliability of methods in the present literatures is poorer, in order to improve the accuracy and reliability of the calculation results, a deviation solution method based on neighborhood search comparison is proposed. After obtaining an approximation curve, the discrete points first are all parameterized, and the corresponding points on the curve of each point are determined; then as to a specific point, subdivide the curve in the neighborhood of the correspond- ing point into several temporary points, and calculate the distance between the point and each temporary points; at last the shortest distance is seen as the approximate deviation between the curve and the spe- cific point. Simulation results verify the feasibility and validity of the method.
出处
《制造技术与机床》
北大核心
2015年第7期67-71,共5页
Manufacturing Technology & Machine Tool
基金
国家自然科学基金(51275147)
关键词
离散点
B样条曲线
逼近偏差
邻域搜索
discrete point
B- spline curve
approximation error
neighborhood search
