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Evaluation of cerebellar aging in MRI images: Fractal analysis compared to Euclidean geometry-based morphometry

Meta-Radiology
Objectives: This study aimed to identify age-related changes in the fractal dimensions of the cerebellum and compare the sensitivity of fractal analysis and conventional Euclidean geometry-based morphometry to cerebellar aging.
Nataliia Maryenko, Oleksandr Stepanenko
doaj

The infinity(x)-equation in Grushin-type spaces

Electronic Journal of Differential Equations, 2016
We employ Grushin jets which are adapted to the geometry of Grushin-type spaces to obtain the existence-uniqueness of viscosity solutions to the infinity(x)-Laplace equation in Grushin-type spaces.
Thomas Bieske
doaj

Orientation Maps in V1 and Non-Euclidean Geometry. [PDF]

J Math Neurosci, 2015
Afgoustidis A.
europepmc +1 more source

Euclidean 𝑛-planes in pseudo-euclidean spaces and differential geometry of Cartan domains [PDF]

, 1969
Yung-Chow Wong
openalex +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola +2 more
wiley +1 more source

Stochastic homogenization on perforated domains II – Application to nonlinear elasticity models

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 102, Issue 12, December 2022., 2022
Abstract Based on a recent work that exposed the lack of uniformly bounded W1,p→W1,p$W^{1,p}\rightarrow W^{1,p}$ extension operators on randomly perforated domains, we study stochastic homogenization of nonlinear p‐elasticity, 1
Martin Heida
wiley +1 more source

A Treatise on the Differential Geometry of Curves and Surfaces. By L. P Eisenhart. Pp. 474. $2.75. 1960. - Advanced Euclidean Geometry. By R. A. Johnson. Pp. 319. $1.65. 1960. - Elements of Projective Geometry. By Luigi Cremona. Pp. 302. $1.75. 1960. [PDF]

, 1961

openalex +1 more source

Pre‐industrial Use of Bauxite by Late Gothic Goldsmith Masters: Analytical Evidence and Experimental Study

ChemPlusChem, EarlyView.
First analytical evidence and replication of yet undescribed substantial change in gilding technology in the early modern period ‐ the replacement of imported red clay (bole) with locally available bauxite. Proof of its source ‐ Croatian Minjera, according to a unique find of mineral diaspore.
David Hradil +3 more
wiley +1 more source

GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
wiley +1 more source

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