Results 1 to 10 of about 3,018,296 (373)
Approximation by planar elastic curves [PDF]
Adv. Comput. Math. (2016), 2015 We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve.
Brander, David +2 more
arxiv +13 more sources
Elastic analysis of irregularly or sparsely sampled curves [PDF]
Biometrics, 2021 We provide statistical analysis methods for samples of curves when the image but not the parametrisation of the curves is of interest. A parametrisation invariant analysis can be based on the elastic distance of the curves modulo warping, but existing methods have limitations in common realistic settings where curves are irregularly and potentially ...
Lisa Steyer, Almond Stöcker, S. Greven
arxiv +7 more sources
Some minimization problems for planar networks of elastic curve [PDF]
, 2017 In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional $F(\Gamma)=\int_\Gamma k^2+1\,\mathrm{d}s$, where $\Gamma$ is a network of three curves with fixed equal angles at ...
Dall'Acqua, Anna, Pluda, Alessandra
core +4 more sources
Analysis of shape data: From landmarks to elastic curves. [PDF]
Wiley Interdiscip Rev Comput Stat, 2020 Proliferation of high‐resolution imaging data in recent years has led to substantial improvements in the two popular approaches for analyzing shapes of data objects based on landmarks and/or continuous curves.
Bharath K, Kurtek S.
europepmc +2 more sources
Variational analysis of inextensible elastic curves [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021 We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange multipliers’ method.
G. Bevilacqua, L. Lussardi, A. Marzocchi
semanticscholar +5 more sources
Bifurcation of elastic curves with modulated stiffness [PDF]
European Journal of Applied Mathematics, 2020 We investigate the equilibrium configurations of closed planar elastic curves of fixed length, whose stiffness, also known as the bending rigidity, depends on an additional density variable.
K. Brazda +3 more
semanticscholar +10 more sources
Elastic curves and phase transitions [PDF]
Mathematische Annalen, 2017 This paper is devoted to classical variational problems for planar elastic curves of clamped endpoints, so-called Euler's elastica problem. We investigate a straightening limit that means enlarging the distance of the endpoints, and obtain several new results concerning properties of least energy solutions.
Tatsuya Miura
semanticscholar +6 more sources
Automatic Detection and Uncertainty Quantification of Landmarks on Elastic Curves. [PDF]
J Am Stat Assoc, 2019 A population quantity of interest in statistical shape analysis is the location of landmarks, which are points that aid in reconstructing and representing shapes of objects.
Strait J, Chkrebtii O, Kurtek S.
europepmc +3 more sources
A Survey of the Elastic Flow of Curves and Networks [PDF]
Milan Journal of Mathematics, 2020 AbstractWe collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In particular, we give a complete proof of global existence and smooth convergence to critical points of the solution of the elastic flow of closed curves in$${\mathbb {R}}^2$$
C. Mantegazza +2 more
semanticscholar +6 more sources
Black rubber and the non-linear elastic response of scale invariant solids [PDF]
Journal of High Energy Physics, 2020 We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry.
Matteo Baggioli +2 more
doaj +2 more sources