Fitting Deformable Super-Ellipsoid Base on Orthogonal Distance

WEN Fu-rong; YUAN Bao-zong

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Fitting Deformable Super-Ellipsoid Base on Orthogonal Distance

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- Fitting Deformable Super-Ellipsoid Base on Orthogonal Distance
- Acta Electronica Sinica Vol. 33, Issue 4, Pages: 742-744(2005)
- 作者机构：
  
  北京交通大学信息科学研究所,北京,100044
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published Online：25 April 2005，
  
  Published：2005
- 稿件说明：
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WEN Fu-rong, YUAN Bao-zong. Fitting Deformable Super-Ellipsoid Base on Orthogonal Distance[J]. Acta Electronica Sinica, 2005, 33(4): 742-744.
DOI：

WEN Fu-rong, YUAN Bao-zong. Fitting Deformable Super-Ellipsoid Base on Orthogonal Distance[J]. Acta Electronica Sinica, 2005, 33(4): 742-744. DOI：

摘要

对于一般几何模型的非线性最小均方误差拟合

首先必须定义拟合误差

然后采用非线性最优化方法求解最小误差意义下的最优解.本文针对变形超二次曲线拟合

给出了一种基于给定点到拟合几何模型的正交距离作为误差度量.采用这种基于几何距离的拟合曲线具有对几何刚体变换不变性的特点

而且这种方法很容易给出拟合参数的物理意义上的解释.

Abstract

Firstly

the error of fit must be defined for nonlinear least-square fitting of generalized geometry model.Then the nonlinear optimization algorithm can be used to obtain the optimum solution.In this paper

we proposed an error of fit based on the orthogonal distance between the given point and the fitting geometry model.The estimated parameters are invariant to coordinate transformation and we can easily find a physical interpretation of the fitting parameters by this way.

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