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平移视点间的单应矩阵
引用本文:吴福朝,张备伟.平移视点间的单应矩阵[J].安徽大学学报(自然科学版),2000,24(3):40-45.
作者姓名:吴福朝  张备伟
作者单位:安徽大学计算智能与信号处理教育部重点实验室,安徽合肥 230039
基金项目:国家自然科学基金;69875001;
摘    要:主要讨论平移视点单应矩阵的特征理论,并应用于:(1)平面规范法向量平移向量的内积计算;(2)标准单应矩阵的确定;(3)从未标定图像判定空间平面是否平行;(4)摄像机自标定;(5)从标定图像,计算空间平面间的夹角。本文的结果在机器人视觉中具有重要应用价值。

关 键 词:单应矩阵  特征子空间  平面夹角  摄像机自标定
文章编号:1000-2162(2000)03-0040-06

Homography between Two Translation Viewpoints
WU Fu-Chao,ZHANG Bei-Wei.Homography between Two Translation Viewpoints[J].Journal of Anhui University(Natural Sciences),2000,24(3):40-45.
Authors:WU Fu-Chao  ZHANG Bei-Wei
Abstract:In this paper, we mainly discuss the eigen-system (eigenvalue and eigensubspace) of homography between two translation viewpoints. And we apply the eigen-system to the following aspects: (1) computing inner-product of normal vector of plane and translation vector; (2) determining standard homography; (3) deciding whether two space planes are parellel from uncalibrated image; (4) self-calibration of camera; (5) computing the angle between two space planes from calibrated image. The results in this paper has important application value in the machine vision.
Keywords:homograghy  eigenvalue and eigensubspace  angle between two planes  camera self-calibration
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