Trajectory Tangent Azimuth Calculation Based on Moving Least Square Fitting

doi:10.11908/j.issn.0253-374x.2018.11.018

Home > Archive>Volume 46, Issue 11, 2018 >1589-1593. DOI:10.11908/j.issn.0253-374x.2018.11.018

Trajectory Tangent Azimuth Calculation Based on Moving Least Square Fitting
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                        10.11908/j.issn.0253-374x.2018.11.018
                    
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                        YAO LianbiYAO Lianbi
College of Surveying and Geo-Informatics， Tongji University， Shanghai 200092，China
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QIAN JinfeiQIAN Jinfei
College of Surveying and Geo-Informatics， Tongji University， Shanghai 200092，China
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Abstract:

Based on moving least squares, an algorithm of trajectory tangent azimuth calculation is presented in this paper. The feasibility of the algorithm is tested by measured data and the setting of key parameters including dilatation parameter and weight function is discussed. The results show: the algorithm is practical and can be applied to small bended trajectory; the value of dilatation parameter should satisfy the requirement of calculation, but it should not be too big; the precision of trajectory fitting can be promoted by weight function but the precision of azimuth will not be affected.

Key words:azimuth; moving least squares; trajectory fitting

Reference

[1]Paul D.Groves. GNSS与惯性及多传感器组合导航系统原理[M]. 国防工业出版社, 2015: 175.Paul D.Groves. Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems[M]. National Defense Industry Press, 2015: 175.

[2]张玲. 基于三次样条曲线拟合公路平面线形方法研究[D]. 武汉: 武汉理工大学, 2007: 17-18.ZHANG ling. Analysis of Fitting Method on Plan Curve Based on Cubic Spline[D]. Wuhan: Wuhan University of Technology, 2007: 17-18.

[3]姚连璧, 周小平. 基于MATLAB的控制网平差程序设计[M]. 同济大学出版社, 2006: 197.YAO lianbi, ZHOU xiaoping. Design of Control Net Adjustment Software Based on MATLAB[M]. Tongji University Press, 2006: 197.

[4]曾清红,卢德唐. 基于移动最小二乘法的曲线曲面拟合[J]. 工程图学学报, 2004(1): 84-88.CENG qinghon, LU detang. Curve and Surface Fitting Based on Moving Least Squares[J]. Journal of Engineering Graphics, 2004(1): 84-88.

[5]齐林,张芳,陈恩庆.基于移动最小二乘曲线拟合的 LFM信号参数估计[J].郑州大学学报(工学版), 2011(3): 95-98.QI lin, ZHANG fang, CHEN enqing. Parameter Estimation of LFM Signal Via MLS Approximation[J]. Journal of Zhengzhou University(Engineering Science), 2011(3): 95-98.

[6]D.Shepard. A two dimensional interpolation function for irregularly spaced data[C]. Proceedings of the Twenty Third ACM National Conference, New York, USA, 1968: 517-524.

[7]P.Lancaster,K.alkauskas. Curve and Surface Fitting[C]. Academic Press, New York,1986.

[8]程玉民. 移动最小二乘法研究进展与述评[J]. 计算机辅助工程, 2009(6): 5-11.CHENG yumin. Advances and Review on moving least square methods[J]. Computer Aided Engineering, 2009(6): 5-11.

[9]M.Amirfakhrian, H.Mafikandi. Approximation of parametric curves by Moving Least Squares method[J]. Applied Mathematics and Computation, 2016(283), June, 290-298.

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YAO Lianbi, QIAN Jinfei. Trajectory Tangent Azimuth Calculation Based on Moving Least Square Fitting[J].同济大学学报(自然科学版),2018,46(11):1589~1593

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Received:January 16,2017
Revised:September 13,2018
Adopted:September 03,2018
Online: November 29,2018
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