Existence of planar curves minimizing length and curvature
From MaRDI portal
Publication:630199
DOI10.1134/S0081543810030041zbMath1215.53006arXiv0906.5290OpenAlexW2089885616MaRDI QIDQ630199
Francesco Rossi, Gregoire Charlot, Ugo V. Boscain
Publication date: 17 March 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.5290
Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)
Related Items (9)
On sub-Riemannian geodesics in \(\mathrm{SE}(3)\) whose spatial projections do not have cusps ⋮ Cuspless Sub-Riemannian Geodesics within the Euclidean Motion Group SE(d) ⋮ Association fields via cuspless sub-Riemannian geodesics in SE(2) ⋮ A multi-orientation analysis approach to retinal vessel tracking ⋮ A PDE Approach to Data-Driven Sub-Riemannian Geodesics in $SE$(2) ⋮ Morphological and linear scale spaces for fiber enhancement in DW-MRI ⋮ Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis ⋮ Highly corrupted image inpainting through hypoelliptic diffusion ⋮ On the Gamma-convergence of some polygonal curvature functionals
Cites Work
- Unnamed Item
- A cortical based model of perceptual completion in the roto-translation space
- Control theory from the geometric viewpoint.
- Geometrically Guided Exemplar-Based Inpainting
- On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
- Projective Reeds-Shepp car onS2with quadratic cost
- Maxwell strata in sub-Riemannian problem on the group of motions of a plane
- On The Lavrentiev Phenomenon
- Curve-straightening and the Palais-Smale condition
- Existence of free nonclosed Euler–Bernoulli elastica
- Curve interpolation with nonlinear spiral splines
- Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
This page was built for publication: Existence of planar curves minimizing length and curvature