Results 31 to 40 of about 629 (72)

Buckling of elastic filaments by discrete magnetic moments

, 2017
We study the buckling of an idealized, semiflexible filament along whose contour magnetic moments are placed. {We give analytic expressions for the critical stiffness of the filament below which it buckles due to the magnetic compression.
Boltz, Horst-Holger, Klumpp, Stefan
core   +1 more source

Multivariate Normal Distribution Method for a Virtual Cerebral Arterial Population

International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 11, November 2025.
A simple multivariate normal distribution (MVND) method for generating a population of distributed virtual arteries with multiple geometric features was developed. The distribution of geometric features in virtual arteries represents the distribution in real arteries. ABSTRACT Recently, the concept of a virtual population (Vpop) has attracted attention
Kazuyoshi Jin, Ko Kitamura, Shunji Mugikura, Naoko Mori, Stephen Payne, Makoto Ohta, Hitomi Anzai   +6 more
wiley   +1 more source

On some curves with the modified orthogonal frame in Euclidean 3-space

, 2018
In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3 ...
Bukcu, Bahaddin, Es, Hasan, Karacan, Murat Kemal, Lone, Mohamd Saleem   +3 more
core   +1 more source

Improved DTI‐Based Skeletal Muscle Architecture Estimation via Diffusion Weighted Image Denoising and First Eigenvector Map Smoothing

NMR in Biomedicine, Volume 38, Issue 9, September 2025.
Diffusion Tensor Imaging tractography of skeletal muscle architecture is limited by the presence of noise in diffusion‐weighted images, leading to inaccuracies in muscle fiber direction and fiber‐tract curvature estimation. We evaluated the use of anisotropic image smoothing, threshold PCA denoising, and first eigenvector field smoothing to improve ...
Roberto A. Pineda Guzman, Carly A. Lockard, Xingyu Zhou, Bruce M. Damon   +3 more
wiley   +1 more source

On space-like constant slope surfaces and Bertrand curves in Minkowski 3-space

, 2014
In the present paper, we define the notions of Lorentzian Sabban frames and de Sitter evolutes of the unit speed space-like curves on de Sitter 2-space $\mathbb{S}^{2}_{1}$.
Babaarslan, Babaarslan, Babaarslan, Babaarslan, Boyadzhiev, Boyadzhiev, Fu, Fu, Garnica, Garnica, Izumiya, Izumiya, López, López, Munteanu, Munteanu, Neill, Neill, Nutbourne, Nutbourne, Wang, Wang, Yayli, Yayli   +23 more
core   +1 more source

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.
ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley   +1 more source

Hamiltonian flows on null curves

, 2010
The local motion of a null curve in Minkowski 3-space induces an evolution equation for its Lorentz invariant curvature. Special motions are constructed whose induced evolution equations are the members of the KdV hierarchy.
Bonnor W B, Castagnino M, Emilio Musso, Inoguchi J, Ivey T A, Lawden D F, Lorenzo Nicolodi, Musso E, Musso E, Nesterenko V V, Olver P J, Pinkall U   +11 more
core   +1 more source

Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula [PDF]

, 1995
Symplectic geometry of the vortex filament in a curved three-manifold is investigated. There appears an infinite sequence of constants of motion in involution in the case of constant curvature.
Audin, Brylinski, Da Rois, Duistermaat, Duistermaat, Dykstra, Faddeev, Hama, Hasimoto, Hasimoto, Keski-Bakkuri, Koiso, Langer, Marsden, Niemi, Picken, Riordan, Waichi Ogura, Witten, Yukinori Yasui   +19 more
core   +2 more sources

Derivation and Numerical Assessment of a Stochastic Large–Scale Hydrostatic Primitive Equations Model

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.
Abstract Planetary flows are shaped by interactions at scales much smaller than the flows themselves, with mesoscale and sub–mesoscale eddies playing key roles in mixing, particle transport and tracer dispersion. To capture these effects, we introduce a stochastic formulation of the primitive equations within the Location Uncertainty (LU) framework ...
Francesco L. Tucciarone, Long Li, Etienne Mémin, Pranav Chandramouli   +3 more
wiley   +1 more source

On the geometry of curves and conformal geodesics in the Mobius space

, 2010
This paper deals with the study of some properties of immersed curves in the conformal sphere $\mathds{Q}_n$, viewed as a homogeneous space under the action of the M\"obius group.
Magliaro, Marco, Mari, Luciano, Rigoli, Marco   +2 more
core   +1 more source