Publications

Alexey P. Mashtakov

2017

[24] E. Bekkers, R. Duits, A. Mashtakov, Yu. Sachkov. Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle.  
[23] B. Franceschiello, A. Mashtakov, G. Citti, A. Sarti. Modelling of the Poggendorff Illusion via Sub-Riemannian Geodesics in the Roto-Translation Group  
[22] A. P. Mashtakov, Remco Duits, Yu. L. Sachkov, Erik Bekkers, I. Yu. Beschastnyi. Sub-Riemannian Geodesics in SO(3) with Application to Vessel Tracking in Spherical Images of Retina.   
[21] A. Mashtakov, R. Duits, Yu. Sachkov, E. J. Bekkers, I. Beschastnyi. Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)   
[20] A. Mashtakov, A. Popov. Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space   
[19] V. Markasheva, A. Mashtakov. Existence of Global Fundamental Solution to a Class of Fokker-Planck Equations   

2016

[18] R. Duits, A. Ghosh, T. Dela Haije, A. Mashtakov. On sub-Riemannian geodesics in SE(3) whose spatial projections do not have cusps  
[17] A. Mashtakov, R. Duits. A Cortical Based Model for Contour Completion on the Retinal Sphere  
[16] A.P. Mashtakov, A.A. Ardentov, Yu.L. Sachkov, Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)  

2015

[15] A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2)  
[14] A. P. Mashtakov, Yu. L. Sachkov, Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups   
[13] E. J. Bekkers, R. Duits, A. P. Mashtakov, G. R. Sanguinetti, Data-Driven Sub-Riemannian Geodesics in SE(2)  

2014

[12] А. П. Маштаков, Ю. Л. Сачков, Интегрируемость субримановых структур на специальной линейной группе SL_2(R)  

2013

[11] A. Yu. Popov, A. P. Mashtakov, Asymptotics of Maxwell time in the plate-ball problem  
[10] A. P. Mashtakov, A. A. Ardentov, Yu. L. Sachkov, Parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations  

2012

[9] Ю. Л. Сачков, А. А. Ардентов, И. Ю. Бесчастный, А. П. Маштаков, Интерфейс для исследования субримановых геодезических на трехмерных группах Ли
[8] A. P. Mashtakov, Algorithms and Software Solving a Motion Planning Problem for Nonholonomic Five-dimensional Control Systems  
[7] А. П. Маштаков, Параллельный программный комплекс решения неголономных задач управления  
[6] A. A. Ardentov, I. Yu. Beschatnyi, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova, Algorithms for evaluation position and orientation of UAV  

2011

[5] A. P. Mashtakov, Yu. L. Sachkov, Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane  
[4] A. P. Mashtakov, Asymptotics of Extremal Curves in the Ball Rolling Problem on the Plane  

2010

[3] Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, Parallel algorithm and software for recovery of isophotes for corrupted images  

2009

[2] Ю. Л. Сачков, А. А. Ардентов, А. П. Маштаков, Конструктивное решение задачи управления на основе метода нильпотентной аппроксимации  
[1] Yu. L. Sachkov, A. A. Ardentov, V. M. Kasimov, A. P. Mashtakov, Reconstruction of images via variational principle