Constraint condition selection method in camera calibration

JIANG Jia-he; SONG Zi-shan; SHEN Wei-qun; ZHAO Yu-xia

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Constraint condition selection method in camera calibration

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- Constraint condition selection method in camera calibration
- Optics and Precision Engineering Vol. 8, Issue 4, Pages: 373-376(2000)
- 作者机构：
  
  1. 北京航空航天大学自控系动仿北京,100083
  2. 洛阳铜加工厂职工大学教务处,河南洛阳,471039
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN948.41
- Received：09 December 1999，
  
  Revised：10 April 2000，
  
  Published Online：15 August 2000，
  
  Published：15 August 2000
- 稿件说明：
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江加和, 宋子善, 沈为群, 赵玉侠. 摄像机标定中一种约束条件选择方法[J]. 光学精密工程, 2000,(4): 373-376

JIANG Jia-he, SONG Zi-shan, SHEN Wei-qun, ZHAO Yu-xia . Constraint condition selection method in camera calibration[J]. Editorial Office of Optics and Precision Engineering, 2000,(4): 373-376
江加和, 宋子善, 沈为群, 赵玉侠. 摄像机标定中一种约束条件选择方法[J]. 光学精密工程, 2000,(4): 373-376 DOI：

JIANG Jia-he, SONG Zi-shan, SHEN Wei-qun, ZHAO Yu-xia . Constraint condition selection method in camera calibration[J]. Editorial Office of Optics and Precision Engineering, 2000,(4): 373-376 DOI：

摘要

目前在摄像机标定中

普遍采用最小二乘法

约束条件选择对计算精度有很大影响.对以往的约束条件选择进行了分析和总结

提出了一种新的约束条件选择方法.经过数学推导得到计算公式.解算过程避免了解非线性方程.它充分考虑了参数之间的约束关系

利用正交矩阵保证Frobenius范数不变性来选择约束条件.使误差能按参数之间约束关系进行分配

从而能提高摄像机标定精度.

Abstract

At present

least squares algorithm is generally used to calibrate cameras. Constraint condition selections have a great effect on estimating precision. On the basis of analysis to former selections of constraint condition

a new constraint condition selection method is rpesented. Computing formulas of parameters are got after mathematical derivation. The algorithm avoids solving nonlinear equation. After constraint relations between parameters are observed and studied

a constraint condition is selected using the property that orthogonal matrix ensures Frobenius norm to be unvarying. Errors are distributed in the light of constraint relations between parameters

so precision of camera calibration can be improved.

关键词

Keywords

references

马颂德,张正友.计算机视觉[M] .北京:科学出版社,1998.

Faugeras O D, Toscani G. Camera calibration problem for 3D computer vision [A] . Proc. of International Workshop on Industrial Application of Machine Vision Machine Intelligence[C] . Japan:1986. 240-247.

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Related Institution

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