%0 Journal Article
%T 基于最小单向Hausdorff距离的线轮廓度误差评定<br>Evaluation Method of Line Profile Error Based on Minimum Directed Hausdorff Distance
%A 曹利新
%A 秦令剑
%J 机械科学与技术
%D 2015
%X 为了高效率、高精度的评定平面线轮廓度误差,提出了一种基于平面曲线间最小单向Hausdorff距离的线轮廓度误差评定方法,给出了求解最小单向Hausdorff距离的数学规划模型及其线性化解算方法。该方法可以保证计算结果符合国家标准关于线轮廓度误差定义的最小条件。模型中涉及到的点到曲线最小距离,采用全局算法中的投影多面体方法计算。通过与已有文献中的算例结果进行对比,验证了所提方法的正确性和有效性。数值计算表明,所提方法符合线轮廓度误差评定的最小条件,且具有较高的评定精度。<br>In order to improve the evaluation efficiency and accuracy of the line profile error, an evaluation method of the line profile error based on the minimum directed Hausdorff distance between the plane curves is proposed. The mathematical programming model and its linearization method for the minimum directed Hausdorff distance are presented. The results of the present method meet the minimum zone condition of the line profile error issued with national standard. The Projected-Polyhedron algorithm is applied to calculate the minimum distance between a point and a curve in the present method. Comparing with the results of two existed literatures, we verify the correctness and effectiveness of the present method. The numerical examples show that the results of the present method accords with the requirements of the minimum zone condition and the evaluation accuracy is very high
%K 线轮廓度
%K 最小单向Hausdorff距离
%K 投影多面体算法&lt
%K br&gt
%K algorithms
%K calculations
%K computational efficiency
%K efficiency
%K errors
%K estimation
%K line profile error
%K linearization
%K mathematical models
%K MATLAB
%K matrix algebra
%K minimum directed Hausdorff distance
%K projected-polyhedron algorithm
%K Taylor series
%U http://journals.nwpu.edu.cn/jxkxyjs/CN/abstract/abstract5883.shtml