Speciality:
05.13.11 (Mathematical and programme software for computers, computer systems, and networks)
E-mail: Website: https://control.botik.ru/?staff=mashtakov Keywords: Nonlinear geometric control theory,
optimal control,
sub-Riemannian geometry,
invariant control systems on Lie groups,
applications in robotics,
modelling of vision and image processing.
UDC: 517.977
Subject:
Nonlinear geometric control theory; optimal control; sub-Riemannian geometry; invariant control systems on Lie groups; applications in robotics; modelling of vision and image processing.
Main publications:
E.J. Bekkers, R. Duits, A. Mashtakov, G.R Sanguinetti, “A PDE Approach to Data-Driven Sub-Riemannian Geodesics in SE(2)”, Siam Journal on Imaging Sciences, 8:4 (2015), 2740-2770
A. P. Mashtakov, “Sub-Riemannian Geometry in Image Processing and Modeling of the Human Visual System”, Нелинейная динам., 15:4 (2019), 561–568
Alexey P. Mashtakov, Andrei A. Ardentov, Yuri L. Sachkov, “Parallel Algorithm and Software for Image Inpainting via Sub-Riemannian Minimizers on the Group of Rototranslations”, Numerical Mathematics: Theory, Methods and Applications, 6:1 (2013), 95–115
A. Mashtakov, R. Duits, Y. Sachkov, E.J. Bekkers, I. Beschastnyi, “Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)”, Journal of Mathematical Imaging and Vision, 58:2 (2017), 239–264
A.P. Mashtakov, Yu.L. Sachkov, “Superintegrability of Left-Invariant Sub-Riemannian
Structures on Unimodular Three-Dimensional Lie
Groups”, Differential Equations, 51:11 (2015), 1482–1488
