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Computer Optics, 2020, Volume 44, Issue 3, Pages 446–453
DOI: https://doi.org/10.18287/2412-6179-CO-683
(Mi co808)
 

This article is cited in 9 scientific papers (total in 9 papers)

NUMERICAL METHODS AND DATA ANALYSIS

Method for camera motion parameter estimation from a small number of corresponding points using quaternions

E. V. Goshina, A. P. Kotovab

a Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34
b IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151
References:
Abstract: In this paper, we study methods for determining parameters of camera movement from a set of corresponding points. Unlike the traditional approach, the corresponding points in this paper are not used to determine the fundamental matrix, but directly to determine motion parameters. In addition, in this work, we use a multi-angle image formation model based on the representation of three-dimensional images and motion parameters in the form of quaternions. We propose method for determining motion parameters, including the selection of the most noise-free matches using the RANSAC method. The study presents results of an experiment on the “Middlebury” and “ETH3D” test kits, which contains a set of images with known values of the motion parameters. Using a program written in Python, a comparative experiment was conducted to evaluate the accuracy and reliability of the estimates obtained using the proposed method under conditions of a small number of corresponding points and a shallow depth of the scene. In the course of experimental studies, it was shown that under the above-described conditions, the reliability of parameter determination using the proposed method significantly exceeds the reliability of traditional methods for estimating motion parameters based on the calculation of the fundamental matrix.
Keywords: epipolar geometry, quaternion, motion parameters.
Funding agency Grant number
Russian Foundation for Basic Research 17-29-03112 îôè_ì
19-29-01235 ìê
Ministry of Science and Higher Education of the Russian Federation 007-ÃÇ/×3363/26
This work was supported by the Russian Foundation for Basic Research (projects No. 17-29-03112, 19-29-01235) and the RF Ministry of Science and Higher Education within a state contract with the “Crystallography and Photonics” Research Center of the RAS under agreement 007-ÃÇ/×3363/26.
Received: 23.12.2019
Accepted: 26.02.2020
Document Type: Article
Language: Russian
Citation: E. V. Goshin, A. P. Kotov, “Method for camera motion parameter estimation from a small number of corresponding points using quaternions”, Computer Optics, 44:3 (2020), 446–453
Citation in format AMSBIB
\Bibitem{GosKot20}
\by E.~V.~Goshin, A.~P.~Kotov
\paper Method for camera motion parameter estimation from a small number of corresponding points using quaternions
\jour Computer Optics
\yr 2020
\vol 44
\issue 3
\pages 446--453
\mathnet{http://mi.mathnet.ru/co808}
\crossref{https://doi.org/10.18287/2412-6179-CO-683}
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  • https://www.mathnet.ru/eng/co808
  • https://www.mathnet.ru/eng/co/v44/i3/p446
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Optics
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