Results 51 to 60 of about 5,104 (219)

Advancing the Volumetric Analysis of Ultra‐Low‐Field Brain MRI Using Image‐to‐Image Translation

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Ultra‐low‐field (ULF) MRI offers a promising path to accessible neuroimaging, with potential to address global healthcare disparities and advance population‐level brain health research. However, the inherently low signal‐to‐noise ratio (SNR), reduced spatial resolution, and altered tissue contrasts relative to conventional high‐field ...
Peter Hsu, Elisa Marchetto, Patricia M. Johnson, Jelle Veraart   +3 more
wiley   +1 more source

Hausdorff measure on o-minimal structures [PDF]

The Journal of Symbolic Logic, 2012
AbstractWe introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy–Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every definable set can be partitioned into “basic rectifiable sets”, and that the Whitney arc property holds for basic rectifiable sets.
Fornasiero, A., Vasquez Rifo, E.
openaire   +4 more sources

Deep Learning‐Based Dynamic Segmentation of the Left Atrium in 4D Flow MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To design a deep learning pipeline for automated, time‐resolved segmentation of the left atrium (LA) from 4D flow MRI data. Methods We studied 100 individuals including 65 patients with atrial fibrillation (AF) and 35 healthy subjects (HS) resulting in 2530 4D flow MRI time‐volumes acquired in different centers and scanners.
Jonas Leite, Tom Da‐Silva Faria, Marie Shannon Soulez, Khaoula Bouazizi, Perrine Marsac, Elie Mousseaux, Jérôme Lamy, Moussa Gueda Moussa, Olivier Piot, Jacques Feignoux, Daniel Giese, Nicolas Badenco, Estelle Gandjbakhch, Alban Redheuil, Mikaël Laredo, Emilie Bollache, Nadjia Kachenoura   +16 more
wiley   +1 more source

Spatial numerical ranges of elements of subalgebras of C0(X)

International Journal of Mathematics and Mathematical Sciences, 2000
When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.
Sin-Ei Takahasi
doaj   +1 more source

R3Net: Recursive Residual Refinement Network Architecture for Decoder‐Free Medical Image Segmentation

Precision Radiation Oncology, EarlyView.
We propose R3Net, a decoder‐free medical image segmentation framework that recursively refines multiscale representations within the encoder using residual pathways. R3Net achieves competitive accuracy with reduced model complexity and improved computational efficiency across multiple medical imaging modalities.
Jing Huang, Yongkang Zhao, Yuhan Li, Zhitao Dai, Cheng Chen, Qiying Lai   +5 more
wiley   +1 more source

EXTENDED HAUSDORFF DISTANCE AND SIMILARITY MEASURES FOR NEUTROSOPHIC REFINED SETS AND THEIR APPLICATION IN MEDICAL DIAGNOSIS

Journal of New Theory, 2015
In this paper we present a new distance measure between neutrosophic refined sets on the basis of extended Hausdorff distance of neutrosophic set and we study some of their basic properties.
Said Broumi, Florentin Smarandache
doaj  

A Multi‐Sequence Adversarial Fusion U‐Net for Brain Tumor Image Segmentation

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
In the field of brain tumor image segmentation, in order to avoid the impact of insufficient number of training samples, the method of fusing multi‐modal MRI information before segmentation is widely used. However, when fusing different modal features, existing methods only add fixed weights to the features of each modality, resulting in insufficient ...
Jie Wang, Jinglu Hu
wiley   +1 more source

One‐Class Autoencoders for Porcelain Art Attribution: The Case of William Billingsley

Archaeometry, EarlyView.
ABSTRACT This comprehensive study explores the application of advanced machine learning techniques, specifically one‐class autoencoders, for the authentication and attribution of English porcelain artworks. Focusing primarily on the works of William Billingsley (1758–1828), one of England's most celebrated porcelain decorators, we demonstrate how ...
Hassan Ugail, Morgan Denyer, Rachel Denyer, Howell Edwards   +3 more
wiley   +1 more source

Calculation of Hausdorff dimensions of basins of ergodic measures in encoding spaces

Журнал Белорусского государственного университета: Математика, информатика, 2018
In the article we consider spaces XN of sequences of elements of finite alphabet X (encoding spaces) and ergodic measures on them, basins of ergodic measures and Hausdorff dimensions of such basins with respect to ultrametrics defined by a product of ...
Pavel N. Varabei
doaj  

Measure characterizations and properties of normal and regular lattices

International Journal of Mathematics and Mathematical Sciences, 1991
Various equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted which imply, or are ...
Peter M. Grassi
doaj   +1 more source