Research on the fundamental principles and characteristics of correspondence function
type: Item
instance of: scholarly article
title: Research on the fundamental principles and characteristics of correspondence function
zbMATH Open document ID: 1394.68399
DOI: 10.1155/2015/721842
author: Xiangru Li
author: Q. M. Jonathan Wu
author: Guanghui Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 68T45
Mathematics Subject Classification ID: 62G08
zbMATH DE Number: 6927084
Wikidata QID: Q59119036
describes a project that uses: SIFT
describes a project that uses: MLESAC
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/721842
OpenAlex ID: W1609990112
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description: scientific article; zbMATH DE number 6927084