The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Igor Moiseev , Yuri L. Sachkov
ESAIM: COCV, 16 2 (2010) 380-399
Published online: 2009-04-21
This article has been cited by the following article(s):
74 articles
Optimal Transport on the Lie Group of Roto-translations
Daan Bon, Gautam Pai, Gijs Bellaard, Olga Mula and Remco Duits SIAM Journal on Imaging Sciences 18 (2) 789 (2025) https://doi.org/10.1137/24M1641531
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub Riemannian Hamiltonian formalism
R. Fioresi, A. Marraffa and J. Petkovic Differential Geometry and its Applications 94 102125 (2024) https://doi.org/10.1016/j.difgeo.2024.102125
Dynamics of a multilink wheeled vehicle: Partial solutions and unbounded speedup
E.M. Artemova and I.A. Bizyaev International Journal of Non-Linear Mechanics 165 104774 (2024) https://doi.org/10.1016/j.ijnonlinmec.2024.104774
The Geometry of Riemannian Curvature Radii
Eugenio Bellini Journal of Dynamical and Control Systems 29 (4) 1829 (2023) https://doi.org/10.1007/s10883-023-09664-y
Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer
Andrei Andreevich Ardentov and Elizaveta Markovna Artemova Sbornik: Mathematics 214 (10) 1351 (2023) https://doi.org/10.4213/sm9829e
Gijs Bellaard, Gautam Pai, Javier Olivan Bescos and Remco Duits 14009 538 (2023) https://doi.org/10.1007/978-3-031-31975-4_41
Analysis of (sub-)Riemannian PDE-G-CNNs
Gijs Bellaard, Daan L. J. Bon, Gautam Pai, Bart M. N. Smets and Remco Duits Journal of Mathematical Imaging and Vision 65 (6) 819 (2023) https://doi.org/10.1007/s10851-023-01147-w
Анормальные экстремали в субримановой задаче для общей модели робота с прицепом
Andrei Andreevich Ardentov and Elizaveta Markovna Artemova Математический сборник 214 (10) 3 (2023) https://doi.org/10.4213/sm9829
Левоинвариантные задачи оптимального управления на группах Ли, интегрируемые в эллиптических функциях
Yurii Leonidovich Sachkov Успехи математических наук 78 (1(469)) 67 (2023) https://doi.org/10.4213/rm10063
Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions
Yurii Leonidovich Sachkov Russian Mathematical Surveys 78 (1) 65 (2023) https://doi.org/10.4213/rm10063e
Alexey Mashtakov and Alexey Podobryaev 1 (2022) https://doi.org/10.1109/STAB54858.2022.9807528
Bicycle paths, elasticae and sub-Riemannian geometry
Andrei Ardentov, Gil Bor, Enrico Le Donne, Richard Montgomery and Yuri Sachkov Nonlinearity 34 (7) 4661 (2021) https://doi.org/10.1088/1361-6544/abf5bf
Andrei Ardentov and Ivan Gubanov 1 (2021) https://doi.org/10.1109/NIR52917.2021.9666064
Symmetries in left-invariant optimal control problems
A. V. Podobryaev Sbornik: Mathematics 211 (2) 275 (2020) https://doi.org/10.1070/SM9236
Симметрии в левоинвариантных задачах оптимального управления
Alexey Vladimirovich Podobryaev Математический сборник 211 (2) 125 (2020) https://doi.org/10.4213/sm9236
A Comprehensive Introduction to Sub-Riemannian Geometry
Andrei Agrachev, Davide Barilari and Ugo Boscain A Comprehensive Introduction to Sub-Riemannian Geometry (2019) https://doi.org/10.1017/9781108677325
Total roto-translational variation
Antonin Chambolle and Thomas Pock Numerische Mathematik 142 (3) 611 (2019) https://doi.org/10.1007/s00211-019-01026-w
Symmetric Riemannian Problem on the Group of Proper Isometries of Hyperbolic Plane
A. V. Podobryaev and Yu. L. Sachkov Journal of Dynamical and Control Systems 24 (3) 391 (2018) https://doi.org/10.1007/s10883-017-9383-6
Extremal trajectories in the sub-Lorentzian problem on the Engel group
A. A. Ardentov, Yu. L. Sachkov, T. Huang and X. Yang Sbornik: Mathematics 209 (11) 1547 (2018) https://doi.org/10.1070/SM9017
Optimal Paths for Variants of the 2D and 3D Reeds–Shepp Car with Applications in Image Analysis
R. Duits, S. P. L. Meesters, J.-M. Mirebeau and J. M. Portegies Journal of Mathematical Imaging and Vision 60 (6) 816 (2018) https://doi.org/10.1007/s10851-018-0795-z
Экстремальные траектории в сублоренцевой задаче на группе Энгеля
Andrei Andreevich Ardentov, Yurii Leonidovich Sachkov, Tiren Huang and Xiaoping Yang Математический сборник 209 (11) 3 (2018) https://doi.org/10.4213/sm9017
Aditya Vamsikrishna, Arun D. Mahindrakar and Shaligram Tiwari 123 (2017) https://doi.org/10.1109/INDIANCC.2017.7846463
On a Certain Sub-Riemannian Geodesic Flow on the Heisenberg Group
S. V. Agapov and M. R. Borchashvili Siberian Mathematical Journal 58 (6) 943 (2017) https://doi.org/10.1134/S0037446617060039
Cut Locus and Optimal Synthesis in Sub-Riemannian Problem on the Lie Group SH(2)
Yasir Awais Butt, Yuri L. Sachkov and Aamer Iqbal Bhatti Journal of Dynamical and Control Systems 23 (1) 155 (2017) https://doi.org/10.1007/s10883-016-9337-4
Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in $${\text {SO(3)}}$$ SO(3)
A. Mashtakov, R. Duits, Yu. Sachkov, E. J. Bekkers and I. Beschastnyi Journal of Mathematical Imaging and Vision 58 (2) 239 (2017) https://doi.org/10.1007/s10851-017-0705-9
Geometric Science of Information
Erik J. Bekkers, Remco Duits, Alexey Mashtakov and Yuri Sachkov Lecture Notes in Computer Science, Geometric Science of Information 10589 773 (2017) https://doi.org/10.1007/978-3-319-68445-1_89
Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
Yasir Awais Butt Alexandria Engineering Journal (2017) https://doi.org/10.1016/j.aej.2017.05.017
On Sub-Riemannian Geodesics in SE(3) Whose Spatial Projections do not Have Cusps
R. Duits, A. Ghosh, T. C. J. Dela Haije and A. Mashtakov Journal of Dynamical and Control Systems 22 (4) 771 (2016) https://doi.org/10.1007/s10883-016-9329-4
Yasir Awais Butt and Aamer Iqbal Bhatti 1 (2016) https://doi.org/10.1109/ICET.2016.7813215
Controlling of a mobile robot with a trailer and its nilpotent approximation
Andrey A. Ardentov Regular and Chaotic Dynamics 21 (7-8) 775 (2016) https://doi.org/10.1134/S1560354716070017
Геодезические в субримановой задаче на группе $\mathrm{SO}(3)$
Ivan Yurevich Beschastnyi and Yurii Leonidovich Sachkov Математический сборник 207 (7) 29 (2016) https://doi.org/10.4213/sm8555
Relation between Euler’s elasticae and sub-Riemannian geodesics on SE(2)
Alexey Mashtakov, Andrei Ardentov and Yuri L. Sachkov Regular and Chaotic Dynamics 21 (7-8) 832 (2016) https://doi.org/10.1134/S1560354716070066
On extensions of sub-Riemannian structures on Lie groups
Rory Biggs and Péter T. Nagy Differential Geometry and its Applications 46 25 (2016) https://doi.org/10.1016/j.difgeo.2016.02.001
Maxwell Strata and Conjugate Points in the Sub-Riemannian Problem on the Lie Group SH(2)
Yasir Awais Butt, Yuri L. Sachkov and Aamer Iqbal Bhatti Journal of Dynamical and Control Systems 22 (4) 747 (2016) https://doi.org/10.1007/s10883-016-9318-7
Geodesics in the sub-Riemannian problem on the group SO(3)
I Yu Beschatnyi and Yu L Sachkov Sbornik: Mathematics 207 (7) 915 (2016) https://doi.org/10.1070/SM8555
Comparison theorems for conjugate points in sub-Riemannian geometry
D. Barilari and L. Rizzi ESAIM: Control, Optimisation and Calculus of Variations 22 (2) 439 (2016) https://doi.org/10.1051/cocv/2015013
A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2)
E. J. Bekkers, R. Duits, A. Mashtakov and G. R. Sanguinetti SIAM Journal on Imaging Sciences 8 (4) 2740 (2015) https://doi.org/10.1137/15M1018460
Yasir Awais Butt, Aamer Iqbal Bhatti and Yuri L. Sachkov 4251 (2015) https://doi.org/10.1109/ACC.2015.7171997
On the Gamma-convergence of some polygonal curvature functionals
José A. Iglesias and Alfred M. Bruckstein Applicable Analysis 94 (5) 957 (2015) https://doi.org/10.1080/00036811.2014.910302
Cut time in sub-riemannian problem on engel group
A.A. Ardentov and Yu.L. Sachkov ESAIM: Control, Optimisation and Calculus of Variations 21 (4) 958 (2015) https://doi.org/10.1051/cocv/2015027
Scale Space and Variational Methods in Computer Vision
E. J. Bekkers, R. Duits, A. Mashtakov and G. R. Sanguinetti Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 9087 613 (2015) https://doi.org/10.1007/978-3-319-18461-6_49
The optimal rolling of a sphere, with twisting but without slipping
I Yu Beschatnyi Sbornik: Mathematics 205 (2) 157 (2014) https://doi.org/10.1070/SM2014v205n02ABEH004370
Neuromathematics of Vision
Remco Duits, Arpan Ghosh, Tom Dela Haije and Yuri Sachkov Lecture Notes in Morphogenesis, Neuromathematics of Vision 173 (2014) https://doi.org/10.1007/978-3-642-34444-2_5
Extremal Trajectories and Maxwell Strata in Sub-Riemannian Problem on Group of Motions of Pseudo-Euclidean Plane
Yasir Awais Butt, Yuri L. Sachkov and Aamer Iqbal Bhatti Journal of Dynamical and Control Systems 20 (3) 341 (2014) https://doi.org/10.1007/s10883-014-9239-2
Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2)
R. Duits, U. Boscain, F. Rossi and Y. Sachkov Journal of Mathematical Imaging and Vision 49 (2) 384 (2014) https://doi.org/10.1007/s10851-013-0475-y
Cost-Extended Control Systems on Lie Groups
R. Biggs and C. C. Remsing Mediterranean Journal of Mathematics 11 (1) 193 (2014) https://doi.org/10.1007/s00009-013-0355-0
Neuromathematics of Vision
Jean Petitot Lecture Notes in Morphogenesis, Neuromathematics of Vision 1 (2014) https://doi.org/10.1007/978-3-642-34444-2_1
Об оптимальном качении сферы с прокручиванием, без проскальзывания
Ivan Yurevich Beschatnyi and Иван Юрьевич Бесчастный Математический сборник 205 (2) 3 (2014) https://doi.org/10.4213/sm8296
Curve cuspless reconstructionviasub-Riemannian geometry
Ugo Boscain, Remco Duits, Francesco Rossi and Yuri Sachkov ESAIM: Control, Optimisation and Calculus of Variations 20 (3) 748 (2014) https://doi.org/10.1051/cocv/2013082
Two-input control systems on the Euclidean group SE (2)
Ross M. Adams, Rory Biggs and Claudiu C. Remsing ESAIM: Control, Optimisation and Calculus of Variations 19 (4) 947 (2013) https://doi.org/10.1051/cocv/2012040
Asymptotics of Maxwell Time in the Plate-Ball Problem
A. P. Mashtakov and A. Yu. Popov Journal of Mathematical Sciences 195 (3) 336 (2013) https://doi.org/10.1007/s10958-013-1583-3
Morphological and Linear Scale Spaces for Fiber Enhancement in DW-MRI
Remco Duits, Tom Dela Haije, Eric Creusen and Arpan Ghosh Journal of Mathematical Imaging and Vision 46 (3) 326 (2013) https://doi.org/10.1007/s10851-012-0387-2
Neurogeometry of neural functional architectures
Jean Petitot Chaos, Solitons & Fractals 50 75 (2013) https://doi.org/10.1016/j.chaos.2013.01.005
The geodesic flow of a sub-Riemannian metric on a solvable Lie group
A. D. Mazhitova Siberian Advances in Mathematics 23 (2) 99 (2013) https://doi.org/10.3103/S1055134413020041
Quasiconformal mappings of the motion group of the plane
D. V. Isangulova Mathematical Notes 93 (5-6) 932 (2013) https://doi.org/10.1134/S0001434613050325
Feedback Classification of Invariant Control Systems on Three-Dimensional Lie Groups
Rory Biggs and Claudiu C. Remsing IFAC Proceedings Volumes 46 (23) 506 (2013) https://doi.org/10.3182/20130904-3-FR-2041.00015
Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve
M. G. Dmitriev and Yu. L. Sachkov Differential Equations 49 (11) 1347 (2013) https://doi.org/10.1134/S0012266113110037
Квазиконформные отображения группы движений плоскости
Isangulova and Исангулова Математические заметки 93 (6) 947 (2013) https://doi.org/10.4213/mzm10247
Ugo Boscain, Remco Duits, Francesco Rossi and Yuri Sachkov 7679 (2012) https://doi.org/10.1109/CDC.2012.6427047
Sub-riemannian geodesics on the three-dimensional solvable non-nilpotent lie group solv−
A. D. Mazhitova Journal of Dynamical and Control Systems 18 (3) 309 (2012) https://doi.org/10.1007/s10883-012-9145-4
On 2-Step, Corank 2, Nilpotent Sub-Riemannian Metrics
Davide Barilari, Ugo Boscain and Jean-Paul Gauthier SIAM Journal on Control and Optimization 50 (1) 559 (2012) https://doi.org/10.1137/110835700
Sub-Riemannian structures on 3D lie groups
A. Agrachev and D. Barilari Journal of Dynamical and Control Systems 18 (1) 21 (2012) https://doi.org/10.1007/s10883-012-9133-8
Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion
Ugo Boscain, Jean Duplaix, Jean-Paul Gauthier and Francesco Rossi SIAM Journal on Control and Optimization 50 (3) 1309 (2012) https://doi.org/10.1137/11082405X
Экстремальные траектории в нильпотентной субримановой задаче на группе Энгеля
Andrei Andreevich Ardentov, Андрей Андреевич Ардентов, Юрий Леонидович Сачков and Yurii Leonidovich Sachkov Математический сборник 202 (11) 31 (2011) https://doi.org/10.4213/sm7774
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
Yuri L. Sachkov ESAIM: Control, Optimisation and Calculus of Variations 17 (2) 293 (2011) https://doi.org/10.1051/cocv/2010005
Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane
Aleksei P Mashtakov and Yurii L Sachkov Sbornik: Mathematics 202 (9) 1347 (2011) https://doi.org/10.1070/SM2011v202n09ABEH004190
Экстремальные траектории и асимптотика времени Максвелла в задаче об оптимальном качении сферы по плоскости
Aleksei Pavlovich Mashtakov, Алексей Павлович Маштаков, Юрий Леонидович Сачков and Yurii Leonidovich Sachkov Математический сборник 202 (9) 97 (2011) https://doi.org/10.4213/sm7762
Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
Andrei A Ardentov and Yurii L Sachkov Sbornik: Mathematics 202 (11) 1593 (2011) https://doi.org/10.1070/SM2011v202n11ABEH004200
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
Yuri L. Sachkov ESAIM: Control, Optimisation and Calculus of Variations 16 (4) 1018 (2010) https://doi.org/10.1051/cocv/2009031
Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane
Yurii L Sachkov Sbornik: Mathematics 201 (7) 1029 (2010) https://doi.org/10.1070/SM2010v201n07ABEH004101
Симметрии и страты Максвелла в задаче об оптимальном качении сферы по плоскости
Yurii Leonidovich Sachkov and Юрий Леонидович Сачков Математический сборник 201 (7) 99 (2010) https://doi.org/10.4213/sm7617
Existence of planar curves minimizing length and curvature
Ugo Boscain, Grégoire Charlot and Francesco Rossi Proceedings of the Steklov Institute of Mathematics 270 (1) 43 (2010) https://doi.org/10.1134/S0081543810030041
Ugo Boscain, Jean Duplaix, Jean-Paul Gauthier and Francesco Rossi 7027 (2010) https://doi.org/10.1109/CDC.2010.5717682
Ugo Boscain, Gregoire Charlot and Francesco Rossi 1062 (2009) https://doi.org/10.1109/CDC.2009.5399749