Results 31 to 40 of about 646 (89)
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 +6 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 +23 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 +19 more
core +2 more sources
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 +3 more
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 +11 more
core +1 more source
Differential Invariants of Conformal and Projective Surfaces [PDF]
, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Hubert, Evelyne, Olver, Peter J.
core +8 more sources
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
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 +2 more
core +1 more source
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 +3 more
wiley +1 more source
Three-dimensional Curve Motions Induced by the Modified Korteweg-de Vries Equation
, 2007 We have constructed one-phase quasi-periodic solutions of the curve equation induced by the mKdV equation. The solution is expressed in terms of the elliptic functions of Weierstrass.
Shin, H. J.
core +2 more sources