三维视觉测量中圆中心投影误差分析方法

计算机科学 ›› 2010, Vol. 37 ›› Issue (12): 247-249.

三维视觉测量中圆中心投影误差分析方法

韩建栋,杨红菊

(山西大学计算机与信息技术学院太原030006);(计算智能与中文信息处理教育部重点实验室太原030006)

出版日期:2018-12-01 发布日期:2018-12-01
基金资助:
本文受国家自然科学基金项目(50675015)，教育部科学技术研究重点项目(208021)，山西省自然科学基金重点项目(2009011017-2)资助。

Analysis Method for the Projection Error of Circle Center in 3D Vision Measurement

HAN Jian-dong,YANG Hong-ju

Online:2018-12-01 Published:2018-12-01

摘要/Abstract

摘要： 针对像平面上椭圆的中心不是空间圆中心在像平面上的真正投影中心这一问题，提出了一种圆中心投影误差分析方法。通过建立空间圆平面与像平面之间的映射关系，推导了空间圆中心投影误差的数学模型，并对影响中心投影误差的因素进行了仿真分析。该方法为圆中心的测量误差评估、摄像机网络布局等提供了理论依据，在实际的视觉测量工程中具有一定的应用价值。

关键词: 计算机视觉，视觉测量，投影误差

Abstract: Aiming to the misalignment of the perspective projection of the circle center and the imaged ellipse center when the circle surface and the image plane are not parallel,an analysis method for the projection error of ellipse center was proposed.The mathematical formulation of the projection error was deduced by building the mapping relation between image plane and circle surface,and the factors influencing the error were analyzed by the computer simulation.The method provides a valuable reference in theory for the measurement error evaluation of the circular center and the camera planning,and is valuable in engineering applications of vision measurement.

Key words: Computer vision, Vision measurement, Projection error of ellipse center

韩建栋,杨红菊. 三维视觉测量中圆中心投影误差分析方法[J]. 计算机科学, 2010, 37(12): 247-249. https://doi.org/

HAN Jian-dong,YANG Hong-ju. Analysis Method for the Projection Error of Circle Center in 3D Vision Measurement[J]. Computer Science, 2010, 37(12): 247-249. https://doi.org/

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