Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Evgeniy V. Martyushev"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 032 (2010)
We present an invariant of a three-dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant for some framed (un)knots in
Externí odkaz:
https://doaj.org/article/4786b6acfe3848518f9183a2c3b8452d
Autor:
Evgeniy V. Martyushev
Publikováno v:
International Journal of Computer Vision. 128:2781-2793
The essential matrix incorporates relative rotation and translation parameters of two calibrated cameras. The well-known algebraic characterization of essential matrices, i.e. necessary and sufficient conditions under which an arbitrary matrix (of ra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa43b74b5d28e5dcbd01e6e7230e0232
https://doi.org/10.1007/s11263-020-01330-1
https://doi.org/10.1007/s11263-020-01330-1
Publikováno v:
Computer Vision – ECCV 2020 ISBN: 9783030585440
ECCV (9)
ECCV (9)
The \(\mathrm {SE}(3)\) invariants of a pose include its rotation angle and screw translation. In this paper, we present a complete comprehensive study of the relative pose estimation problem for a calibrated camera constrained by known \(\mathrm {SE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28f93f0ae083d5584b011a2f87df96da
https://doi.org/10.1007/978-3-030-58545-7_13
https://doi.org/10.1007/978-3-030-58545-7_13
Autor:
Bo Li, Evgeniy V. Martyushev
We propose two minimal solutions to the problem of relative pose estimation of (i) a calibrated camera from four points in two views and (ii) a calibrated generalized camera from five points in two views. In both cases, the relative rotation angle be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7431e89fbf5b891e62b4d350eb6f8ce1
http://arxiv.org/abs/1901.11357
http://arxiv.org/abs/1901.11357
Autor:
Evgeniy V. Martyushev
Publikováno v:
Computer Vision – ECCV 2018 ISBN: 9783030012243
ECCV (4)
ECCV (4)
The internal calibration of a pinhole camera is given by five parameters that are combined into an upper-triangular \(3\times 3\) calibration matrix. If the skew parameter is zero and the aspect ratio is equal to one, then the camera is said to have
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ad5f6aa3dc01bbdae5db5b155683b8e
https://doi.org/10.1007/978-3-030-01225-0_26
https://doi.org/10.1007/978-3-030-01225-0_26
Autor:
Evgeniy V. Martyushev
In two-view geometry, the essential matrix describes the relative position and orientation of two calibrated images. In three views, a similar role is assigned to the calibrated trifocal tensor. It is a particular case of the (uncalibrated) trifocal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2dde229f979da23bda7247d7b4662cc8
http://arxiv.org/abs/1601.01467
http://arxiv.org/abs/1601.01467
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 129:14-19
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b5d2fa642a4441678f7c2cd35e537ec
https://doi.org/10.4213/tmf515
https://doi.org/10.4213/tmf515
Publikováno v:
Theoretical and Mathematical Physics. 129:1320-1324
A new solution of the pentagon equation related to the flat geometry is obtained; it is invariant under the action of the group SL(2).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62f58ae72af3aa887d035177d3bdd91c
https://doi.org/10.1023/a:1012407225403
https://doi.org/10.1023/a:1012407225403
We construct new topological invariants of three-dimensional manifolds which can, in particular, distinguish homotopy equivalent lens spaces L(7,1) and L(7,2). The invariants are built on the base of a classical (not quantum) solution of pentagon equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f90fdecb26ee15c4144c8087182b98fe
http://arxiv.org/abs/math/0210343
http://arxiv.org/abs/math/0210343