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This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis. Functional shapes can be described as signal functions supported on…

Computational Geometry · Computer Science 2014-04-25 Benjamin Charlier , Nicolas Charon , Alain Trouvé

The structure of grey matter has long been a key focus in neuroscience, as cell morphology varies by type and can be affected by neurological conditions. Understanding these variations is essential for studying brain function and disease.…

Biological Physics · Physics 2025-08-27 Charlie Aird-Rossiter , Hui Zhang , Daniel C. Alexander , Derek K. Jones , Marco Palombo

White matter bundle segmentation is crucial for studying brain structural connectivity, neurosurgical planning, and neurological disorders. White Matter Segmentation remains challenging due to structural similarity in streamlines, subject…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Anoushkrit Goel , Simroop Singh , Ankita Joshi , Ranjeet Ranjan Jha , Chirag Ahuja , Aditya Nigam , Arnav Bhavsar

Diffusion magnetic resonance imaging is an imaging technology designed to probe anatomical architectures of biological samples in an in vivo and non-invasive manner through measuring water diffusion. The contribution of this paper is…

In this paper, a new class of optical fibers is studied, i.e. microstructured fibers or photonic crystal fibers (PCF). The main objective is to characterize these fibers using different dispersion diagrams and present an interface that…

General Physics · Physics 2013-08-01 Debbal Mohammed , Chikh-Bled Mohammed

Tractograms are virtual representations of the white matter fibers of the brain. They are of primary interest for tasks like presurgical planning, and investigation of neuroplasticity or brain disorders. Each tractogram is composed of…

Neurons and Cognition · Quantitative Biology 2020-07-10 Pietro Astolfi , Ruben Verhagen , Laurent Petit , Emanuele Olivetti , Jonathan Masci , Davide Boscaini , Paolo Avesani

Tractography algorithms are used extensively to delineate white matter structures, by operating on the voxel-wise information generated through the application of diffusion tensor imaging (DTI) or other models to diffusion weighted (DW)…

Quantitative Methods · Quantitative Biology 2024-03-05 Richard G. Carson , Alexander Leemans

When transported in confined geometries rigid fibers show interesting transport dynamics induced by friction with the top and bottom walls. Fiber flexibility causes an additional coupling between fiber deformation and transport and is…

Advances in the development of largely automated microscopy methods such as MERFISH for imaging cellular structures in mouse brains are providing spatial detection of micron resolution gene expression. While there has been tremendous…

Numerical Analysis · Mathematics 2022-12-20 Michael I Miller , Alain Trouvé , Laurent Younes

White matter hyperintensities (WMH) are radiological markers of small vessel disease and neurodegeneration, whose accurate segmentation and spatial localization are crucial for diagnosis and monitoring. While multimodal MRI offers…

Image and Video Processing · Electrical Eng. & Systems 2025-06-30 Julia Machnio , Sebastian Nørgaard Llambias , Mads Nielsen , Mostafa Mehdipour Ghazi

In the human brain, white matter development is a complex and long-lasting process involving intermingling micro-and macrostructural mechanisms, such as fiber growth, pruning and myelination. Did you know that all these neurodevelopmental…

Neurons and Cognition · Quantitative Biology 2025-04-30 Jessica Dubois , Mareike Grotheer , Joseph Yuan-Mou Yang , Jacques-Donald Tournier , Christian Beaulieu , Catherine Lebel

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

In computer vision and medical imaging, the problem of matching structures finds numerous applications from automatic annotation to data reconstruction. The data however, while corresponding to the same anatomy, are often very different in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-24 Pierre-Louis Antonsanti , Joan Glaunès , Thomas Benseghir , Vincent Jugnon , Irène Kaltenmark

Diffusion MRI tractography technique enables non-invasive visualization of the white matter pathways in the brain. It plays a crucial role in neuroscience and clinical fields by facilitating the study of brain connectivity and neurological…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Yiqiong Yang , Yitian Yuan , Baoxing Ren , Ye Wu , Yanqiu Feng , Xinyuan Zhang

White matter segmentation methods from diffusion magnetic resonance imaging range from streamline clustering-based approaches to bundle mask delineation, but none have proposed a pediatric-specific approach. We hypothesize that a deep…

Historically, functional magnetic resonance imaging (fMRI) of the brain has focused primarily on gray matter, particularly the cortical gray matter and associated nuclei. However, recent work has demonstrated that functional activity in…

Medical Physics · Physics 2025-07-10 Zhiyuan Li , Kurt G. Schilling , Bennett A. Landman

Diffusion magnetic resonance imaging (dMRI) tractography is an advanced imaging technique that enables in vivo mapping of the brain's white matter connections at macro scale. Over the last two decades, the study of brain connectivity using…

Quantitative Methods · Quantitative Biology 2021-04-26 Fan Zhang , Alessandro Daducci , Yong He , Simona Schiavi , Caio Seguin , Robert Smith , Chun-Hung Yeh , Tengda Zhao , Lauren J. O'Donnell

Functional magnetic resonance imaging (fMRI) produces data about activity inside the brain, from which spatial maps can be extracted by independent component analysis (ICA). In datasets, there are n spatial maps that contain p voxels. The…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Tuomo Sipola , Fengyu Cong , Tapani Ristaniemi , Vinoo Alluri , Petri Toiviainen , Elvira Brattico , Asoke K. Nandi

Recent advancements in medical image segmentation techniques have achieved compelling results. However, most of the widely used approaches do not take into account any prior knowledge about the shape of the biomedical structures being…

Image and Video Processing · Electrical Eng. & Systems 2019-09-18 Zhou He , Siqi Bao , Albert Chung

Accurate segmentation of brain tissues such as gray matter and white matter from magnetic resonance imaging is essential for studying brain anatomy, diagnosing neurological disorders, and monitoring disease progression. Traditional methods,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Chang Sun , Rui Shi , Tsukasa Koike , Tetsuro Sekine , Akio Morita , Tetsuya Sakai