期刊文献+

圆参数估计的相对代数距离法 被引量:3

Method for least-squares circle fitting based on the relative algebraic distance
下载PDF
导出
摘要 构造一个新的残差项,提出一种新的最小二乘圆估计方法———相对代数距离法.仿真实验表明,该法总体性能优于质心法;具有封闭解析解,克服了几何距离法的迭代不收敛问题;抗噪声和粗差点影响性能优于代数距离法,在样本点较少且(或)分布较集中时有较好的拟合精度. The relative algebra distance (RAD) was proposed as a new method for least-square circle fitting by using a new residual error item. Simulation tests show that it has better performance than the centroid estimation method, and the closed-form estimation of the circle parameters without divergence which is the main problem in the geometric distance method. Results also show higher accuracy of parameter estimation under some measurement error and outliers compared with the algebra distance method. This new method shows the best accuracy when the number of measurements is small or at small arcs.
作者 李雄军
机构地区 深圳大学理学院
出处 《深圳大学学报(理工版)》 EI CAS 北大核心 2006年第2期147-151,共5页 Journal of Shenzhen University(Science and Engineering)
基金 深圳市科技基金资助项目(199904) 深圳大学科研基金资助项目(9820)
关键词 最小二乘拟合 圆拟合 参数估计 误差 least-square fitting circle fitting parameter estimate error
  • 相关文献

参考文献5

二级参考文献10

共引文献250

同被引文献22

  • 1秦勇,赵杰,王晓宇.基于椭圆拟合误差补偿算法的数字磁罗盘[J].吉林大学学报(工学版),2009,39(2):489-493. 被引量:14
  • 2刘元朋,张定华,桂元坤,李永奇.用带约束的最小二乘法拟合平面圆曲线[J].计算机辅助设计与图形学学报,2004,16(10):1382-1385. 被引量:44
  • 3Sung J A, Wolfgang. Geometric least squares fitting of circle and ellipse[J].International Journal of Pattern Recognition and Artificial Intelligence, 1999, 13(7): 987-996.
  • 4Shinar D, Curve perception and accidents on curves: An illusive curve phenomenon? [J].Zeitsehrift fur Verkerhs-sicherheit , 1977, vol23, pp16 - 21.
  • 5Fildes B N, Triggs T J, The effect of changes in curve geometry on magnitude estimates of road-like perspective curvature, Perception & Psychophysics, 1985, vol37, pp218 - 224.
  • 6UmbaehDale JonesKerryN.几种圆数据拟合法.IEEE仪器与测量会刊(英文版),2003,52(6):1881-1885.
  • 7ChanYT ElhalwagyYZ ThomasSM.通过求质心来估计圆参数[J].优化理论与应用杂志,2002,114(2):363-371.
  • 8Jianeheng Fang, Hongwei Sun, Juaniuan Cao, Xiao Zhang, and Ye Tao. A Novel Calibration Method of Magnetic Compass Based on Ellipsoid Fitting. IEEE Transactions on Instrumentation and Meas- urement, 2011, 60 (6): 2053-2061.
  • 9A. Fitzgibbon, M. Pilu, and R. B. Fisher, "Direct least square fitting of ellipses," IEEE Trans. Pattern Anal. Math. Intell. , vol. 21, no. 5, 476-480, May 1999.
  • 10R. Halir and J. Flusser, "Numerically stable direct least squares fitting of ellipses," in Proe. Int. Conf. Central Eur. Comput. Graph., 1998, 125-132.

引证文献3

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部