Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Alexey Mashtakov"'
Autor:
Ivan Galyaev, Alexey Mashtakov
Publikováno v:
Journal of Imaging, Vol 10, Iss 8, p 185 (2024)
An extended four-dimensional version of the traditional Petitot–Citti–Sarti model on contour completion in the visual cortex is examined. The neural configuration space is considered as the group of similarity transformations, denoted as M=SIM(2)
Externí odkaz:
https://doaj.org/article/a2defce5122e41b2834ba2cf72c90a7b
Autor:
Alexey Mashtakov, Yuri Sachkov
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3931 (2023)
We study a time-optimal problem in the roto-translation group with admissible control in a circular sector. The problem reveals the trajectories of a car model that can move forward on a plane and turn with a given minimum turning radius. Our work ge
Externí odkaz:
https://doaj.org/article/7b8f8d8675f04cc7b6fb90a768973141
Autor:
Ivan Galyaev, Alexey Mashtakov
Publikováno v:
Journal of Imaging, Vol 7, Iss 12, p 277 (2021)
We consider a natural extension of the Petitot–Citti–Sarti model of the primary visual cortex. In the extended model, the curvature of contours is taken into account. The occluded contours are completed via sub-Riemannian geodesics in the four-di
Externí odkaz:
https://doaj.org/article/1c57201e6d7b4998ba8566fe6babe6d9
Publikováno v:
Entropy, Vol 21, Iss 1, p 38 (2019)
Fokker–Planck PDEs (including diffusions) for stable Lévy processes (including Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and probability theo
Externí odkaz:
https://doaj.org/article/f480df44cace4f908683899c351cef93
Autor:
A. A. Ardentov, Alexey Mashtakov
Publikováno v:
Automation and Remote Control. 82:73-92
We consider a kinematic model of a mobile robot with a trailer moving on a homogeneous plane. The robot can move back and forth and make a pivot turn. For this model, we pose the following optimal control problem: transfer the “robot–trailer” s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad6c9e8c06fbc3c02c62dcbfbc1a55dd
https://doi.org/10.1134/s0005117921010057
https://doi.org/10.1134/s0005117921010057
Autor:
Alexey Mashtakov, Alexey Podobryaev
Publikováno v:
2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6eddd7a1cb8caef00a6b6bdbde5dd86b
https://doi.org/10.1109/stab54858.2022.9807528
https://doi.org/10.1109/stab54858.2022.9807528
Autor:
Alexey Mashtakov, Ivan Galyaev
Publikováno v:
Journal of Imaging
Journal of Imaging; Volume 7; Issue 12; Pages: 277
Journal of Imaging, Vol 7, Iss 277, p 277 (2021)
Journal of Imaging; Volume 7; Issue 12; Pages: 277
Journal of Imaging, Vol 7, Iss 277, p 277 (2021)
We consider a natural extension of the Petitot-Citti-Sarti model of the primary visual cortex. In the extended model, the curvature of contours is taking into account such that occluded contours are completed using sub-Riemannian geodesics in the fou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cdc2ef467428e102337a4f3d28b0243
https://pubmed.ncbi.nlm.nih.gov/34940744
https://pubmed.ncbi.nlm.nih.gov/34940744
Autor:
Alexey Mashtakov
Publikováno v:
2021 International Conference "Nonlinearity, Information and Robotics" (NIR).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20c1b549824840b578b221c9c8405f8f
https://doi.org/10.1109/nir52917.2021.9666107
https://doi.org/10.1109/nir52917.2021.9666107
Autor:
Alexey Mashtakov
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030802080
GSI
GSI
We study a time minimization problem for a model of a car that can move forward on a plane and turn in place. Trajectories of this system are used in image processing for the detection of salient lines. The problem is a modification of a well-known s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b2df4d79b7148d4f6f160adc4277063
https://doi.org/10.1007/978-3-030-80209-7_9
https://doi.org/10.1007/978-3-030-80209-7_9
Autor:
Alexey Mashtakov
Publikováno v:
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB).
We consider the sub-Riemannian problem on the group of rigid body motions in three–dimensional space. Such a problem is encountered in the analysis of 3D images as well as in describing the motion of a solid body in a fluid. Mathematically, this pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e568d4557975be00821619ad78768de1
https://doi.org/10.1109/stab49150.2020.9140718
https://doi.org/10.1109/stab49150.2020.9140718