Alexey P. Mashtakov

2024

[41] I. Galyaev, A. Mashtakov, A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness  

2023

[40] A. Mashtakov, Y. Sachkov, Time-Optimal Problem in the Roto-Translation Group with Admissible Control in a Circular Sector  
[39] A.P. Mashtakov, Y.L. Sachkov, Extremal Trajectories in a Time-Optimal Problem on the Group of Motions of a Plane with Admissible Control in a Circular Sector   

2022

[38] A. Mashtakov, A. Podobryaev, Geodesic Flow of the Sub-Riemannian Structure of Engel Type with Strictly Abnormal Extremals  
[37] Alexey Mashtakov, Time minimization problem on the group of motions of a plane with admissible control in a half-disk  

2021

[36] A. Mashtakov, Extremal Trajectories of a Spherical Robot on Inhomogeneous Surfaces  
[35] A.A. Ardentov, A.P. Mashtakov, Control of a Mobile Robot with a Trailer Based on Nilpotent Approximation  
[34] I.A. Galyaev, A.P. Mashtakov, Liouville integrability in a four-dimensional model of the visual cortex   
[33] Alexey Mashtakov, Extremal Controls for the Duits Car  

2020

[32] A. Mashtakov, V. Yumaguzhin, V. Yumaguzhina, On solutions to Fokker-Planck equations  
[31] A. Mashtakov, On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions  
[30] A. P. Mashtakov, A. Yu. Popov, Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space   

2019

[29] A.P. Mashtakov, K.A. Putintseva, Image Processing Toolkit Inspired by Mechanisms of Human Visual Perception  
[28] Mashtakov A. P., Sub-Riemannian Geometry in Image Processing and Modeling of the Human Visual System  
[27] B. Franceschiello, A. Mashtakov, G. Citti, A. Sarti, Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group  
[26] R. Duits, E. Bekkers, A. Mashtakov, Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs  

2018

[25] A.P. Mashtakov, On the step-2 nilpotent (n,n(n+1)/2) sub-Riemannian structures  

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] A.P. Mashtakov, Yu.L. Sachkov, Integrability of left-invariant sub-Riemannian structures on the special linear group $SL_2(R)$   

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