Study on measurement model of monocular vision coordinate based on virtual beelines

WANG Bei-bei; WANG Xiang-jun; ZHANG Zhao-cai

doi:10.13873/j.1000-97872009.10.016

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Study on measurement model of monocular vision coordinate based on virtual beelines

更新时间：2025-09-11

- Study on measurement model of monocular vision coordinate based on virtual beelines
- Vol. 28, Issue 10, Pages: 20-22(2009)
- 作者机构：
  
  天津大学精密测试技术及仪器国家重点实验室
- 作者简介：
- 基金信息：
- DOI：10.13873/j.1000-97872009.10.016
  CLC： TP391.41
- Published：2009
- 稿件说明：
移动端阅览
[1]王蓓蓓,王向军,张召才.基于虚拟直线的单目视觉坐标测量模型研究[J].传感器与微系统,2009,28(10):20-22.

WANG Bei-bei, WANG Xiang-jun, ZHANG Zhao-cai. Study on measurement model of monocular vision coordinate based on virtual beelines[J]. 2009, 28(10): 20-22.
[1]王蓓蓓,王向军,张召才.基于虚拟直线的单目视觉坐标测量模型研究[J].传感器与微系统,2009,28(10):20-22. DOI： 10.13873/j.1000-97872009.10.016.

WANG Bei-bei, WANG Xiang-jun, ZHANG Zhao-cai. Study on measurement model of monocular vision coordinate based on virtual beelines[J]. 2009, 28(10): 20-22. DOI： 10.13873/j.1000-97872009.10.016.

摘要

在摄像机位置随意固定和测量点共面的约束条件下

基于单目视觉提出了一种基于虚拟直线的单帧图像物点坐标测量的新算法。用几何方法代替常规代数方法

回避了传统的通过求解旋转矩阵和平移向量来获取摄像机位置和姿态参数的过程。利用直线平行、垂直的先验知识

通过空间共线四点经过射影变换的交比不变性得到目标点的位置坐标信息。实验证明:该方法简单、可行

摄像机位置随意摆放

具有很强的可操作性、实用性

且精度较高。

Abstract

A new algorithm for target coordinates acquisition based on monocular vision is proposed on the condition of camera fixation and co-planarity.The virtual beelines are presented depending on the transformation of projective geometry

which does not require computation camera calibration.Some geometric information is needed to acquire the basic viewpoint invariant cross-ratio

which is an essential invariant with respect to projective transformations.After getting the cross ratio of the 4 points which are collinear

the target coordinate is computed.The experiment result shows that this algorithm is more practical and has high precision as the CCD can be arranged optionally.

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references

交比不变获取标定点的不确定性分析 [J]. 周富强,刘珂,张广军. 光电子·激光 . 2006(12)

一种非标定摄像机的定位新算法 [J]. 方帅,曹洋,徐心和. 仪器仪表学报 . 2005(08)

利用消失点列的射影不变量描述平面直线关系 [J]. 刘方,王润生. 电子学报 . 2001(09)

计算机视觉[M]. 科学出版社 , 马颂德,张正友著, 1998

几何变换[M]. 湖南科学技术出版社 , 龙泽斌编, 1984

Probabilistic analysis of the application of the cross ratio to model based vision [J] . Stephan J. Maybank. International Journal of Computer Vision . 1995 (1)

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