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 |