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We present a numerical framework for solving neural field equations on surfaces using Radial Basis Function (RBF) interpolation and quadrature. Neural field models describe the evolution of macroscopic brain activity, but modeling studies…

Numerical Analysis · Mathematics 2025-09-19 Sage B Shaw , Zachary P Kilpatrick , Daniele Avitabile

Longitudinal magnetic resonance imaging data is used to model trajectories of change in brain regions of interest to identify areas susceptible to atrophy in those with neurodegenerative conditions like Alzheimer's disease. Most methods for…

Applications · Statistics 2024-07-25 Robert Zielinski , Kun Meng , Ani Eloyan

There are three fundamental physical processes that gives rise to the morphology of a surface: deposition, surface diffusion and desorption. The characteristics of the interfaces generated by the combination of deposition and surface…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

Cortical surface analysis has gained increased prominence, given its potential implications for neurological and developmental disorders. Traditional vision diffusion models, while effective in generating natural images, present limitations…

Image and Video Processing · Electrical Eng. & Systems 2024-02-08 Zhenshan Xie , Simon Dahan , Logan Z. J. Williams , M. Jorge Cardoso , Emma C. Robinson

Interpretable models are crucial for supporting clinical decision-making, driving advances in their development and application for medical images. However, the nature of 3D volumetric data makes it inherently challenging to visualize and…

Graphics · Computer Science 2025-06-26 Fabian Bongratz , Tom Nuno Wolf , Jaume Gual Ramon , Christian Wachinger

Linear matrix factorizations (LMFs) such as independent component analysis (ICA), principal component analysis (PCA), and their extensions, have been widely used for finding relevant spatial maps in brain imaging data. The last step of an…

Quantitative Methods · Quantitative Biology 2021-10-14 Hyekyoung Lee , Hyejin Kang , Youngmin Huh , Hongyoon Choi , Dong Soo Lee

The automatic segmentation of perinatal brain structures in magnetic resonance imaging (MRI) is of utmost importance for the study of brain growth and related complications. While different methods exist for adult and pediatric MRI data,…

The reconstruction of cortical surfaces is a prerequisite for quantitative analyses of the cerebral cortex in magnetic resonance imaging (MRI). Existing segmentation-based methods separate the surface registration from the surface…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Fabian Bongratz , Anne-Marie Rickmann , Christian Wachinger

Gliomas are brain tumors composed of different highly heterogeneous histological subregions. Image analysis techniques to identify relevant tumor substructures have high potential for improving patient diagnosis, treatment and prognosis.…

Image and Video Processing · Electrical Eng. & Systems 2022-07-18 José Gerardo Suárez-García Javier Miguel Hernández-López , Eduardo Moreno-Barbosa , Benito de Celis-Alonso

Federated learning and its application to medical image segmentation have recently become a popular research topic. This training paradigm suffers from statistical heterogeneity between participating institutions' local datasets, incurring…

Image and Video Processing · Electrical Eng. & Systems 2023-10-19 Matthis Manthe , Stefan Duffner , Carole Lartizien

Brain parcellations play a ubiquitous role in the analysis of magnetic resonance imaging (MRI) datasets. Over 100 years of research has been conducted in pursuit of an ideal brain parcellation. Different methods have been developed and…

Neurons and Cognition · Quantitative Biology 2021-07-09 Pantea Moghimi , Anh The Dang , Theoden I. Netoff , Kelvin O. Lim , Gowtham Atluri

Neuronal morphology is essential for studying brain functioning and understanding neurodegenerative disorders. As acquiring real-world morphology data is expensive, computational approaches for morphology generation have been studied.…

Neurons and Cognition · Quantitative Biology 2024-05-29 Nianzu Yang , Kaipeng Zeng , Haotian Lu , Yexin Wu , Zexin Yuan , Danni Chen , Shengdian Jiang , Jiaxiang Wu , Yimin Wang , Junchi Yan

Recent cellular-level volumetric brain reconstructions have revealed high levels of anatomic complexity. Determining which structural aspects of the brain to focus on, especially when comparing with computational models and other organisms,…

Disordered Systems and Neural Networks · Physics 2023-09-29 Helen S. Ansell , István A. Kovács

Automated surface segmentation is important and challenging in many medical image analysis applications. Recent deep learning based methods have been developed for various object segmentation tasks. Most of them are a classification based…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Leixin Zhou , Xiaodong Wu

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

We take an image science perspective on the problem of determining brain network connectivity given functional activity. But adapting the concept of image resolution to this problem, we provide a new perspective on network partitioning for…

Neurons and Cognition · Quantitative Biology 2020-02-14 Keith Dillon , Yu-Ping Wang

Image segmentation some of the challenging issues on brain magnetic resonance image tumor segmentation caused by the weak correlation between magnetic resonance imaging intensity and anatomical meaning.With the objective of utilizing more…

Computer Vision and Pattern Recognition · Computer Science 2014-03-25 Narkhede Sachin G. , Vaishali Khairnar , Sujata Kadu

We explore encoding brain symmetry into a neural network for a brain tumor segmentation task. A healthy human brain is symmetric at a high level of abstraction, and the high-level asymmetric parts are more likely to be tumor regions. Paying…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Hejia Zhang , Xia Zhu , Theodore L. Willke

In medical imaging, surface registration is extensively used for performing systematic comparisons between anatomical structures, with a prime example being the highly convoluted brain cortical surfaces. To obtain a meaningful registration,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Yuchen Guo , Qiguang Chen , Gary P. T. Choi , Lok Ming Lui

This paper provides a tutorial and survey for a specific kind of illustrative visualization technique: feature lines. We examine different feature line methods. For this, we provide the differential geometry behind these concepts and adapt…

Graphics · Computer Science 2015-01-16 Kai Lawonn , Bernhard Preim
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