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Research on the Fundamental Principles and Characteristics of Correspondence Function

机译：函授功能的基本原理和特征研究

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摘要

The correspondence function (CF) is a concept recently introduced to reject the mismatches from given putative correspondences. The fundamental idea of the CF is that the relationship of some corresponding points between two images to be registered can be described by a pair of vector-valued functions, estimated by a nonparametric regression method with more flexibility than the normal parametric model, for example, homography matrix, similarity transformation, and projective transformations. Mismatches are rejected by checking their consistency with the CF. This paper proposes a visual scheme to investigate the fundamental principles of the CF and studies its characteristics by experimentally comparing it with the widely used parametric model epipolar geometry (EG). It is shown that the CF describes the mapping from the points in one image to their corresponding points in another image, which enables a direct estimation of the positions of the corresponding points. In contrast, the EG acts by reducing the search space for corresponding points from a two-dimensional space to a line, which is a problem in one-dimensional space. As a result, the undetected mismatches of the CF are usually near the correct corresponding points, but many of the undetected mismatches of the EG are far from the correct point.
机译：对应函数（CF）是最近引入的一种概念，用于拒绝给定推定对应中的不匹配。 CF的基本思想是，可以通过一对矢量值函数来描述要配准的两个图像之间某些对应点的关系，这些矢量值函数是通过非参数回归方法估算的，比正常参数模型具有更大的灵活性，例如，单应性矩阵，相似性变换和投影变换。通过检查它们与CF的一致性来拒绝不匹配。本文提出了一种视觉方案，以研究CF的基本原理并通过与广泛使用的参数模型对极几何（EG）进行实验比较来研究其特性。可以看出，CF描述了从一个图像中的点到另一图像中它们的对应点的映射，这使得可以直接估计对应点的位置。相反，EG通过将用于对应点的搜索空间从二维空间减小到线而起作用，这在一维空间中是一个问题。结果，CF的未检测到的失配通常在正确的对应点附近，但是EG的许多未检测到的失配距离正确的点很远。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第16期|721842.1-721842.15|共15页
  • 作者

    Li Xiangru; Wang Guanghui; Wu Q. M. Jonathan;

  • 作者单位

    S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China.;

    Univ Kansas, Dept Elect Engn & Comp Sci, Lawrence, KS 66045 USA.;

    Univ Windsor, Dept Elect & Comp Engn, Windsor, ON N9B 3P4, Canada.;

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