A PDE Approach to Data-Driven Sub-Riemannian Geodesics in (2) EJ Bekkers, R Duits, A Mashtakov, GR Sanguinetti
SIAM Journal on Imaging Sciences 8 (4), 2740-2770, 2015
82 2015 Parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations AP Mashtakov, AA Ardentov, YL Sachkov
Numerical Mathematics: Theory, Methods and Applications 6 (1), 95-115, 2013
51 2013 Алгоритмы вычисления положения и ориентации БПЛА АА Ардентов
Программные системы: теория и приложения 3 (3-1 (12)), 23-38, 2012
43 2012 Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group B Franceschiello, A Mashtakov, G Citti, A Sarti
Differential Geometry and its Applications 65, 55-77, 2019
35 2019 On sub-Riemannian geodesics in SE (3) whose spatial projections do not have cusps R Duits, A Ghosh, TCJ Dela Haije, A Mashtakov
Journal of dynamical and control systems 22, 771-805, 2016
32 2016 Sub-Riemannian fast marching in SE (2) G Sanguinetti, E Bekkers, R Duits, MHJ Janssen, A Mashtakov, ...
Iberoamerican Congress on Pattern Recognition, 366-374, 2015
31 2015 Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in A Mashtakov, R Duits, Y Sachkov, EJ Bekkers, I Beschastnyi
Journal of Mathematical Imaging and Vision 58, 239-264, 2017
28 2017 Algorithms for evaluation position and orientation of UAV AA Ardentov, IY Beschastnyi, AP Mashtakov, AY Popov, YL Sachkov, ...
Program systems: Theory and applications 3 (3), 23-39, 2012
14 2012 Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane AP Mashtakov, YL Sachkov
Sbornik: Mathematics 202 (9), 1347, 2011
11 2011 Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups AP Mashtakov, YL Sachkov
Differential equations 51, 1476-1483, 2015
10 2015 Fourier transform on the homogeneous space of 3D positions and orientations for exact solutions to linear PDEs R Duits, EJ Bekkers, A Mashtakov
Entropy 21 (1), 38, 2019
9 2019 Vessel tracking via sub-Riemannian geodesics on the projective line bundle EJ Bekkers, R Duits, A Mashtakov, Y Sachkov
International Conference on Geometric Science of Information, 773-781, 2017
9 2017 Экстремальные траектории и асимптотика времени Максвелла в задаче об оптимальном качении сферы по плоскости АП Маштаков, ЮЛ Сачков
Математический сборник 202 (9), 97-120, 2011
9 2011 Extremal controls in the sub-Riemannian problem on the group of motions of Euclidean space AP Mashtakov, AY Popov
Regular and Chaotic Dynamics 22 (8), 949-954, 2017
8 2017 Modelling of the poggendorff illusion via sub-riemannian geodesics in the roto-translation group B Franceschiello, A Mashtakov, G Citti, A Sarti
International Conference on Image Analysis and Processing, 37-47, 2017
8 2017 Data-driven sub-riemannian geodesics in SE (2) EJ Bekkers, R Duits, A Mashtakov, GR Sanguinetti
International Conference on Scale Space and Variational Methods in Computer …, 2015
7 2015 Control of a mobile robot with a trailer based on nilpotent approximation AA Ardentov, AP Mashtakov
Automation and Remote Control 82, 73-92, 2021
6 2021 Integrability of left-invariant sub-Riemannian structures on the special linear group SL 2 (R ) AP Mashtakov, YL Sachkov
Differential Equations 50, 1541-1547, 2014
6 2014 Алгоритмическое и программное обеспечение решения конструктивной задачи управления неголономными пятимерными системами АП Маштаков
Программные системы: теория и приложения 3 (1), 3-29, 2012
6 2012 Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear Parabolic and (Hypo-) Elliptic PDEs R Duits, EJ Bekkers, A Mashtakov
arXiv preprint arXiv:1811.00363, 2018
5 2018