Scholarlink

<p>This paper presents a new insight into the epipole from four given image point correspondences in two calibrated views. Firstly, we propose an algebraic constraint on the relation between the epipole and a plane-induced homography. Secondly, we show a novel algorithm for determining the 10-degree curve about possible epipoles from four image point correspondences in two calibrated views by using algebraic method directly. In particular, we show that the problem of determining the epipole has at most four distinct real solutions when the left image plane is parallel to a certain face of the tetrahedron consisting of four control points. Furthermore, we also confirm that the upper bound of four distinct physically valid solutions is attainable. Lastly, we give some examples to validate our results. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A New Insight into the Epipole from Four Point Correspondences in Two Calibrated Views

  • 期刊论文

  • 发表日期：

    2025年1月6日

查看全文
  • Yang Guo,
  • Yingqi Qu

摘要

This paper presents a new insight into the epipole from four given image point correspondences in two calibrated views. Firstly, we propose an algebraic constraint on the relation between the epipole and a plane-induced homography. Secondly, we show a novel algorithm for determining the 10-degree curve about possible epipoles from four image point correspondences in two calibrated views by using algebraic method directly. In particular, we show that the problem of determining the epipole has at most four distinct real solutions when the left image plane is parallel to a certain face of the tetrahedron consisting of four control points. Furthermore, we also confirm that the upper bound of four distinct physically valid solutions is attainable. Lastly, we give some examples to validate our results.