Results 11 to 20 of about 3,090,394 (363)
Elastic curves and phase transitions [PDF]
Mathematische Annalen, 2017 This paper is devoted to a classical variational problem 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 ...
Tatsuya Miura
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Elastic analysis of irregularly or sparsely sampled curves [PDF]
Biometrics, 2021 We provide statistical analysis methods for samples of curves in two or more dimensions, where the image, but not the parameterization of the curves, is of interest and suitable alignment/registration is thus necessary.
Lisa Steyer, Almond Stöcker, S. Greven
semanticscholar +5 more sources
An obstacle problem for elastic curves: Existence results [PDF]
Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, 2018 We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in [8]. More precisely, we investigate nonexistence of graph solutions for special obstacles and extend the class of admissible curves in
Marius Muller
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Shape Analysis of Elastic Curves in Euclidean Spaces [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011 This paper introduces a square-root velocity (SRV) representation for analyzing shapes of curves in euclidean spaces under an elastic metric. In this SRV representation, the elastic metric simplifies to the IL2 metric, the reparameterization group acts ...
Anuj Srivastava +3 more
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Variational analysis of inextensible elastic curves [PDF]
Proceedings of the Royal Society A, 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
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Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi +2 more
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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
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Geometric and topological approaches to shape variation in
Royal Society Open Science, 2021 Leaf shape is a key plant trait that varies enormously. The range of applications for data on this trait requires frequent methodological development so that researchers have an up-to-date toolkit with which to quantify leaf shape. We generated a dataset
Haibin Hang +3 more
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Rolling Geodesics, Mechanical Systems and Elastic Curves
Mathematics, 2022 This paper defines a large class of differentiable manifolds that house two distinct optimal problems called affine-quadratic and rolling problem.
Velimir Jurdjevic
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Additive Manufacturing Letters, 2022 The near-net-shape manufacturing in additive manufactured and cast of Al-Si alloys results in a heterogeneous solidification and cooling of the parts, leading to significant gradients in microstructural and defect features as well as deformation behavior.
Jochen Tenkamp +3 more
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