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正交距离圆曲线拟合方法 被引量:15

Fitting of circles based on orthogonal distance
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摘要 在分析圆曲线拟合准则基础上,提出采用正交最小二乘法拟合圆曲线。该方法以圆曲线正交距离残差平方和极小为准则。基于间接平差原理详细推导了相关模型和算法,并以实际算例说明了该方法的效果。 In this paper the method of Least-Squares orthogonal distance fitting of circles are presented,based on analysis the cri- terion for circle fitting.The criterion is to minimize the square sum of the orthogonal distance,the model and algorithm are deduced based on indirect adjustment,the result is illustrated through a example.
出处 《测绘科学》 CSCD 北大核心 2008年第S1期72-73,35,共3页 Science of Surveying and Mapping
基金 现代工程测量国家测绘局重点室基金
关键词 圆曲线拟合 最小二乘 正交距离 circle fitting least-squares orthogonal distance fitting
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参考文献5

  • 1Walter Gander,Gene H. Golub,Rolf Strebel.Least-squares fitting of circles and ellipses[J].BIT.1994(4)
  • 2Spath H.Orthogonal least squares fitting by conic sec- tions[].Recent advances in total least squares tech- niques and errors-in-variables modeling.1997
  • 3Gander W,Golub G H,Strebel R.Least-sqares fitting of circles and ellipses[].Borsa Internazionale del Turismo.1994
  • 4DAVIS T G.Total Least-Spiral Curve Fitting[].Journal of Surveying Engineering ASCE.1999
  • 5Sung Joon Ahn,Wolfgang Rauh,and H.-J.Hans-Jrgen "baut".Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola[].Pattern Recognition.2001

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