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Computer Optics, 2017, Volume 41, Issue 4, Pages 559–563 (Mi co420)  

IMAGE PROCESSING, PATTERN RECOGNITION

Conforming identification of the fundamental matrix in image matching problem

V. A. Fursovab, A. V. Gavrilova, E. V. Goshinab, K. G. Pugacheva

a Samara National Research University, Samara, Russia
b Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia

Abstract: The article considers the conforming identification of the fundamental matrix in the image matching problem. The method consists in the division of the initial overdetermined system into lesser dimensional subsystems. On these subsystems, a set of solutions is obtained, from which a subset of the most conforming solutions is defined. Then, on this subset the resulting solution is deduced. Since these subsystems are formed by all possible combinations of rows in the initial system, this method demonstrates high accuracy and stability, although it is computationally complex. A comparison with the methods of least squares, least absolute deviations, and the RANSAC method is drawn.

Keywords: conforming identification; parallel algorithm; least squares method; least absolute deviations; epipolar geometry; projective geometry.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 2.7891.2017/6.7
This research was supported by the RF Ministry of Education and Science (Project # 2.7891.2017/6.7).


DOI: https://doi.org/10.18287/2412-6179-2017-41-4-559-563

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Full text: http://www.computeroptics.smr.ru/.../410414.html
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Received: 10.07.2017
Accepted:21.08.2017
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Citation: V. A. Fursov, A. V. Gavrilov, E. V. Goshin, K. G. Pugachev, “Conforming identification of the fundamental matrix in image matching problem”, Computer Optics, 41:4 (2017), 559–563

Citation in format AMSBIB
\Bibitem{FurGavGos17}
\by V.~A.~Fursov, A.~V.~Gavrilov, E.~V.~Goshin, K.~G.~Pugachev
\paper Conforming identification of the fundamental matrix in image matching problem
\jour Computer Optics
\yr 2017
\vol 41
\issue 4
\pages 559--563
\mathnet{http://mi.mathnet.ru/co420}
\crossref{https://doi.org/10.18287/2412-6179-2017-41-4-559-563}


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