Results 71 to 80 of about 64,955 (216)
Journal of Microscopy, EarlyView.Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran +7 more
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Numerical estimates of Hausdorff dimension [PDF]
Journal of Computational Physics, 1982 Numerical methods for estimating Hausdorff dimension, useful in the analysis of turbulence, are explained and applied to a specific example. In particular, methods involving rescaling and approximation by Cantor sets are discussed.
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On the dimension of a certain measure in the plane [PDF]
, 2013 We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
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Hausdorff Dimension of Centered Sets
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hausdorff dimension of boundaries of self-affine tiles in R^n [PDF]
, 1997 We present a new method to calculate the Hausdorff dimension of a certain class of fractals: boundaries of self-affine tiles. Among the interesting aspects are that even if the affine contraction underlying the iterated function system is not conjugated ...
Veerman, J. J. P.
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The Journal of Physiology, EarlyView.Abstract figure legend Digital heart models of human donor atria with cardiac co‐morbidities revealed that regions with AWT variation, aligned myofibres adjacent to disorganised zones and fibrotic borders promoted the localisation and stability of RDs. AWT had a global influence, whereas fibre orientation and fibrosis exerted chamber‐specific regional ...
Anuradha Kulathilaka +8 more
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Hausdorff Dimension and Gaussian Fields
The Annals of Probability, 1977 Let $X(t)$ be a Gaussian process taking values in $R^d$ and with its parameter in $R^N$. Then if $X_j$ has stationary increments and the function $\sigma^2(t) = E\{|X_j(s + t) - X_j(s)|^2\}$ behaves like $|t|^{2\alpha}$ as $|t| \downarrow 0, 0 < \alpha < 1$, the graph of $X$ has Hausdorff dimension $\min \{N/\alpha, N + d(1 - \alpha)\}$ with ...
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Hausdorff Dimension in Stochastic Dispersion
Journal of Statistical Physics, 2002 26 ...
Dolgopyat, D., Kaloshin, V., Koralov, L.
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Automated Coregistered Segmentation for Volumetric Analysis of Multiparametric Renal MRI
Magnetic Resonance in Medicine, Volume 95, Issue 6, Page 3519-3535, June 2026.ABSTRACT Purpose This study aims to develop and evaluate a fully automated deep learning‐driven postprocessing pipeline for multiparametric renal MRI, enabling accurate kidney alignment, segmentation, and quantitative feature extraction within a single efficient workflow. Methods Our method has three main stages.
Aya Ghoul +8 more
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
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