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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
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
Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2)
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
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
Existence of planar curves minimizing length and curvature