Alexey P. Mashtakov
2024
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Cortical-inspired model of contour completion based on their orientation and thickness
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Sub-Riemannian problem on the central extension of the group of motions of a plane
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Sub-Riemannian problem on the similarity group of a plane
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Cortical-inspired model of contour completion based on their orientation and thickness
2023
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Time minimization problem on the group of motions of a plane with admissible control in a circular sector
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Time minimization problem on the group of motions of a plane with admissible control in a circular sector
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Time minimization problem on the group of motions of a plane with admissible control in a circular sector
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Time minimization problem on the group of motions of a plane with admissible control in a circular sector
2022
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Time minimization problem on the Heisenberg group with admissible control in a half-disk
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Time minimization problem on the Heisenberg group with admissible control in a half-disk
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Time minimization problem on the group of motions of a plane with admissible control in a circular sector
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Extremal trajectories in the left-invariant time minimization problem on the group of motions of a plane with admissible control in a circular sector
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Geodesic flow of the sub-Riemannian structure of Engel Type with strictly abnormal extremals
2021
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On the hyperbolic model of visual color perception
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Extremal Trajectories of a Spherical Robot on Inhomogeneous Surfaces
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Extremal controls for the Duits car
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Time minimization problem on the group of motions of a plane with admissible control in a half-disk
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Liouville integrability in a four-dimensional model of the visual cortex
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Time minimization problem on the group of motions of a plane with admissible control in a half-disk
2020
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Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions
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On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions
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On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions
2019
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On the Cut Locus on Step-2 Free Carnot Groups
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Sub-Riemannian Geometry in Image Processing and Modelling of Human Visual System
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On the Cut Locus on Step-2 Free Carnot Groups
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Sub-Riemannian Geometry in Image Processing and Modelling of Human Visual System
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Sub-Riemannian Geometry in Image Processing
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Субриманова геометрия и ее приложения к робототехнике и обработке изображений
2018
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Sub-Riemannian Geodesics on the Group of Rigid Body Motions
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Sub-Riemannian Geodesics on the Group of Motions of Euclidean Space
- Sub-Riemannian Geodesics on the Group of Motions of Euclidean Space
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Sub-Riemannian Geodesics on the Group of Motions of Euclidean Space
2017
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Modelling of the Poggendorff Illusion via Sub-Riemannian Geodesics in the Roto-Translation Group
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A Cortical Based Model for Contour Completion on the Retinal Sphere
- Motion planning of a mobile robot with a trailer via nilpotent approximation
2016
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Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)
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Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)
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Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)
2015
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Sub-Riemannian Problems on 3D Lie Groups with Applications to Retinal Image Processing
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Sub-Riemannian problems on 3D Lie groups with applications to retinal image processing
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Data-driven Sub-Riemannian Geodesics in SE(2)
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Sub-Riemannian Problems on 3D Lie Groups with Applications to Retinal Image Processing
2014
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Solutions to an association field model on the retinal sphere: sub-Riemannian geodesics in SO(3) with cuspless spherical projections
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Analysis of cusps and characterization of the existence set in an association field model on the retinal sphere