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Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in \({\text {SO(3)}}\)

perception model, where we extend the model by Boscain and Rossi to the general case B A. Mashtakov 1 Introduction In computer vision, it is common to extract salient curves in flat images via data-driven

On Sub-Riemannian Geodesics in SE(3) Whose Spatial Projections do not Have Cusps

We consider the problem P c u r v e of minimizing \(\int \limits _{0}^{L} \sqrt {\xi ^{2} + \kappa ^{2}(s)} \, \mathrm {d}s\) for a curve x in \(\mathbb {R}^{3}\) with fixed boundary points and directions. Here, the total length L≥0 is free, s denotes the arclength parameter, κ denotes the absolute curvature of x, and ξ>0 is constant. We lift problem P c u r v e on \(\mathbb ...