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JOURNALS // Computer Optics // Archive

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

This article is cited in 10 papers

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.

Received: 10.07.2017
Accepted: 21.08.2017

Language: English

DOI: 10.18287/2412-6179-2017-41-4-559-563



© Steklov Math. Inst. of RAS, 2024