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Learning neural operators on heterogeneous and irregular geometries remains a fundamental challenge, as existing approaches typically rely on structured discretisations or explicit mappings to a shared reference domain. We propose a unified…

Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis are dominated by voxel-wise, mass-univariate methods such as…

代数拓扑 · 数学 2026-04-28 Donato Quiccione , Mariam Pirashvili , Nathan Broomhead , Sean J. Fallon

Large vision-language models (VLMs) have evolved from general-purpose applications to specialized use cases such as in the clinical domain, demonstrating potential for decision support in radiology. One promising application is assisting…

Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse and complex molecular and biomolecular datasets due to the limited…

定量方法 · 定量生物学 2018-06-12 Duc Duy Nguyen , Guo-Wei Wei

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

生物物理 · 物理学 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Objective: Model based deep learning (MBDL) has been challenging to apply to the reconstruction of 3D non-Cartesian MRI acquisitions due to extreme GPU memory demand (>250 GB using traditional backpropagation) primarily because the entire…

医学物理 · 物理学 2023-04-05 Zachary Miller , Ali Pirasteh , Kevin M. Johnson

This article presents a mathematical framework for solving Maxwell's equations in cylindrical and spherical geometries with continuous angular indices. We extend beyond standard discrete harmonic decomposition to a continuous spectral…

数值分析 · 数学 2025-08-06 Mustafa Bakr

For numerous domains, including for instance earth observation, medical imaging, astrophysics,..., available image and signal datasets often involve irregular space-time sampling patterns and large missing data rates. These sampling…

计算机视觉与模式识别 · 计算机科学 2019-10-02 Ronan Fablet , Lucas Drumetz , François Rousseau

Quantification of anatomical shape changes currently relies on scalar global indexes which are largely insensitive to regional or asymmetric modifications. Accurate assessment of pathology-driven anatomical remodeling is a crucial step for…

We present an edge preserving and denoising filter for enhancing the features in images, which contain an ROI having a narrow spatial extent. Typical examples include angiograms, or ROI spatially distributed in multiple locations and…

计算机视觉与模式识别 · 计算机科学 2013-03-12 Joseph Suresh Paul , Joshin John Mathew , Souparnika Kandoth Naroth , Chandrasekar Kesavadas

Multi-Energy Computed Tomography (ME-CT) is a medical imaging modality aiming to reconstruct the spatial density of materials from the attenuation properties of probing x-rays. For each line in two- or three-dimensional space, ME-CT…

数值分析 · 数学 2020-06-24 Guillaume Bal , Fatma Terzioglu

Mental and cognitive representations are believed to reside on low-dimensional, non-linear manifolds embedded within high-dimensional brain activity. Uncovering these manifolds is key to understanding individual differences in brain…

机器学习 · 计算机科学 2025-05-02 Eloy Geenjaar , Vince Calhoun

Purpose: To allow fast and high-quality reconstruction of clinical accelerated multi-coil MR data by learning a variational network that combines the mathematical structure of variational models with deep learning. Theory and Methods:…

计算机视觉与模式识别 · 计算机科学 2017-04-04 Kerstin Hammernik , Teresa Klatzer , Erich Kobler , Michael P Recht , Daniel K Sodickson , Thomas Pock , Florian Knoll

Understanding disease progression is a central clinical challenge with direct implications for early diagnosis and personalized treatment. While recent generative approaches have attempted to model progression, key mismatches remain:…

计算机视觉与模式识别 · 计算机科学 2026-02-17 Hao Chen , Rui Yin , Yifan Chen , Qi Chen , Chao Li

Classical radiomic features have been designed to describe image appearance and intensity patterns. These features are directly interpretable and readily understood by radiologists. Compared with end-to-end deep learning (DL) models, lower…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Yaxi Chen , Simin Ni , Aleksandra Ivanova , Shaheer U. Saeed , Rikin Hargunani , Jie Huang , Chaozong Liu , Yipeng Hu

Lumbar spine problems are ubiquitous, motivating research into targeted imaging for treatment planning and guided interventions. While high resolution and high contrast CT has been the modality of choice, MRI can capture both bone and soft…

图像与视频处理 · 电气工程与系统科学 2024-12-03 Yanke Wang , Yolanne Y. R. Lee , Aurelio Dolfini , Markus Reischl , Ender Konukoglu , Kyriakos Flouris

Longitudinal brain imaging data facilitate the monitoring of structural and functional alterations in individual brains across time, offering essential understanding of dynamic neurobiological mechanisms. Such data improve sensitivity for…

应用统计 · 统计学 2026-02-04 Zhentao Yu , Jiaqi Ding , Guorong Wu , Quefeng Li

Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles to dynamic magnetic fields generates a non-linear response…

数值分析 · 数学 2024-06-19 Vladyslav Gapyak , Thomas März , Andreas Weinmann

Cellular mechanics plays an important role in epithelial morphogenesis, a process wherein cells reshape and rearrange to produce tissue-scale deformations. However, the study of tissue-scale mechanics is impaired by the difficulty of direct…

细胞行为 · 定量生物学 2020-04-01 Nicholas Noll , Sebastian J. Streichan , Boris I. Shraiman

We propose a hierarchically structured variational inference model for accurately disentangling observable evidence of disease (e.g. brain lesions or atrophy) from subject-specific anatomy in brain MRIs. With flexible, partially…

计算机视觉与模式识别 · 计算机科学 2022-11-17 Anjun Hu , Jean-Pierre R. Falet , Brennan S. Nichyporuk , Changjian Shui , Douglas L. Arnold , Sotirios A. Tsaftaris , Tal Arbel