电光与控制, 2016, 23 (3): 24, 网络出版: 2021-01-28
带权重函数估计的移动最小二乘法及其在弹道处理中的应用
Moving Least Square Method with Weighting Function Estimation and It's Application in Trajectory Processing
弹道处理 航空炸弹 移动最小二乘法 权重函数 ballistic trajectory processing aerial bomb moving least square method weight function
摘要
针对移动最小二乘法中的权重函数影响域提出一种基于De Giorgi迭代技术的估计方法。新方法可有效估计权重函数在局部邻域中的影响半径，从而构造权重函数的具体形式。采用此算法对某航空炸弹的弹道进行处理，通过实验表明，在移动最小二乘法中使用新方法构造的权重函数获得的弹道模型能满足工程精度要求，并且提高了拟合曲线的光滑性。
Abstract
A new method was proposed for estimating the influence domain of weight function in moving least square method based on De Giorgi iterative method. The method can estimate the radius of influence of the weight function in local domain, through which the formula of the weight function can be obtained. The algorithm was used for processing the trajectory of a certain aerial bomb. Experimental result showed that: the ballistic trajectory model obtained by the proposed weight function in moving least square method can satisfy the requirement of engineering accuracy, and the smoothness of the fitting curve is improved.
王鹏, 温永强, 韩云. 带权重函数估计的移动最小二乘法及其在弹道处理中的应用[J]. 电光与控制, 2016, 23(3): 24. WANG Peng, WEN Yong-qiang, HAN Yun. Moving Least Square Method with Weighting Function Estimation and It's Application in Trajectory Processing[J]. Electronics Optics & Control, 2016, 23(3): 24.
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