Results 91 to 100 of about 6,228 (212)

On Topologies Connected with Hausdorff Measures

Real Analysis Exchange, 2008
Notions of density points and topologies associated with various set-theoretic ideals connected with Hausdorff measures are introduced and their properties investigated. Inclusions between the ideals and between the topologies are shown.
openaire   +2 more sources

The Evolution of Breast Cancer Detection: A Review of Imaging, Machine Learning, and Multimodal Strategies

Computational and Systems Oncology, Volume 6, Issue 1, December 2026.
ABSTRACT Breast cancer is still a serious problem in the world arena, where its early and prompt detection is the most important factor in improving patient prognosis and survival. The use of traditional diagnostic techniques, such as imaging (e.g., mammography and ultrasound) and subsequent histopathological examination, is the mainstay, which ...
Likhon Chandra Sarkar, Farida Siddiqi Prity, Farhad Hussain, Anup Talukder, Mirza Raquib, Sharmina Rahman, MD Jiabul Hoque   +6 more
wiley   +1 more source

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

Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2458-2473, November 2026.
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

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

Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2505-2515, November 2026.
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

Measure of noncompactness of operators and matrices on the spaces c and c0

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
doaj   +1 more source

Comparative evaluation of VoxelMorpand conventional deformable image registration algorithms for thoracic 4D‐CT in radiotherapy

Journal of Applied Clinical Medical Physics, Volume 27, Issue 10, October 2026.
Abstract Background Deformable image registration (DIR) is essential for thoracic four‐dimensional computed tomography (4D‐CT)‐based radiotherapy applications. Recently, deep learning‐based DIR methods such as VoxelMorph have been proposed; however, their performance relative to clinically used DIR algorithms remains unclear.
Mizuha Sakai, Megumi Nakao, Hideaki Hirashima, Masahiro Yoneyama, Noriko Kishi, Takashi Mizowaki, Mitsuhiro Nakamura   +6 more
wiley   +1 more source

Hausdorff Dimension of Caloric Measure

American Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire   +3 more sources

Clinical evaluation and regression test of a commercial deep‐learning auto‐segmentation model

Journal of Applied Clinical Medical Physics, Volume 27, Issue 10, October 2026.
Abstract Background Commercial deep‐learning segmentation (DLS) tools are increasingly used in clinical practice. Software updates may alter segmentation performance, highlighting the need for systematic clinical evaluation before implementation. Purpose This study presents our experience in clinically evaluating and regression‐testing a RayStation DLS
Roya Barati, Jingwei Duan, Song Gao, Yao Zhao, Xinru Chen, Cenji Yu, Zhan Xu, Moghadaseh Khaleghibizaki, Fredrik Lofman, Jared Ohrt, Laurence Court, Peter Balter, Jinzhong Yang   +12 more
wiley   +1 more source

Synchrotron‐Based Deep Learning Network of the Inner Ear: Development and Expert Validation

The Laryngoscope, Volume 136, Issue 10, Page 4209-4218, October 2026.
A deep learning network to automatically segment the inner ear from preoperative clinical scans was developed using synchrotron‐radiation phase contrast imaging (SR‐PCI). On an unseen test set, the network significantly outperformed seven expert otologists/radiologists, the mean expert segmentation, and a simultaneous truth and performance level ...
Ashley Micuda, Kyle Rioux, Luke Helpard, Munir Demir Bajin, Zahra Kassam, Sachin Pandey, Jaehyun Hwang, Griselda T. Romero‐Sanchez, Manas Sharma, Lorne S. Parnes, Hanif M. Ladak, Sumit K. Agrawal   +11 more
wiley   +1 more source

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
doaj   +1 more source