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Neural implicit fields have recently emerged as a useful representation for 3D shapes. These fields are commonly represented as neural networks which map latent descriptors and 3D coordinates to implicit function values. The latent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Hsueh-Ti Derek Liu , Francis Williams , Alec Jacobson , Sanja Fidler , Or Litany

Echo Planar Imaging (EPI) is widely used for its rapid acquisition but suffers from severe geometric distortions due to B0 inhomogeneities, particularly along the phase encoding direction. Existing methods follow a two-step process:…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Wenqi Huang , Nan Wang , Congyu Liao , Yimeng Lin , Mengze Gao , Daniel Rueckert , Kawin Setsompop

Semantic segmentation is an established while rapidly evolving field in medical imaging. In this paper we focus on the segmentation of brain Magnetic Resonance Images (MRI) into cerebral structures using convolutional neural networks (CNN).…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Pierre-Antoine Ganaye , Michaël Sdika , Hugues Benoit-Cattin

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

We introduce Fiedler regularization, a novel approach for regularizing neural networks that utilizes spectral/graphical information. Existing regularization methods often focus on penalizing weights in a global/uniform manner that ignores…

Machine Learning · Statistics 2023-04-07 Edric Tam , David Dunson

Understanding representational similarity between neural recordings and computational models is essential for neuroscience, yet remains challenging to measure reliably due to the constraints on the number of neurons that can be recorded…

Disordered Systems and Neural Networks · Physics 2025-10-27 Hyunmo Kang , Abdulkadir Canatar , SueYeon Chung

Neural radiance fields (NeRFs) produce state-of-the-art view synthesis results. However, they are slow to render, requiring hundreds of network evaluations per pixel to approximate a volume rendering integral. Baking NeRFs into explicit…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Benjamin Attal , Jia-Bin Huang , Michael Zollhoefer , Johannes Kopf , Changil Kim

In magnetoencephalography, linear minimum norm inverse methods are commonly employed when a solution with minimal a priori assumptions is desirable. These methods typically produce spatially extended inverse solutions, even when the…

With the rapid growth of neuroimaging technologies, a great effort has been dedicated recently to investigate the dynamic changes in brain activity. Examples include time course calcium imaging and dynamic brain functional connectivity. In…

Methodology · Statistics 2020-08-31 Wei Hu , Tianyu Pan , Dehan Kong , Weining Shen

We present a method to study the penumbral fine structure using data obtained by the spectropolarimeter onboard HINODE. For the first time, the penumbral filaments can be considered as resolved in spectropolarimetric measurements. This…

Image registration is an ill-posed inverse problem which often requires regularisation on the solution space. In contrast to most of the current approaches which impose explicit regularisation terms such as smoothness, in this paper we…

Image and Video Processing · Electrical Eng. & Systems 2020-07-09 Chen Qin , Shuo Wang , Chen Chen , Huaqi Qiu , Wenjia Bai , Daniel Rueckert

Context. High-contrast exoplanet imaging is a rapidly growing field as can be seen through the significant resources invested. In fact, the detection and characterization of exoplanets through direct imaging is featured at all major…

Instrumentation and Methods for Astrophysics · Physics 2018-04-17 Markus J. Bonse , Sascha P. Quanz , Adam Amara

The topic of magnetic field diagnostics with the Zeeman effect is currently vividly discussed. There are some testable inversion codes available to the spectropolarimetry community and their application allowed for a better understanding of…

Solar and Stellar Astrophysics · Physics 2016-11-29 M. Derouich

In this paper, we establish universal approximation theorems for neural networks applied to general nonlinear ill-posed operator equations. In addition to the approximation error, the measurement error is also taken into account in our…

Numerical Analysis · Mathematics 2025-11-21 Lan Wang , Qiao Zhu , Bangti Jin , Ye Zhang

Neural fields have gained significant attention in the computer vision community due to their excellent performance in novel view synthesis, geometry reconstruction, and generative modeling. Some of their advantages are a sound theoretic…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Lukas Koestler , Daniel Grittner , Michael Moeller , Daniel Cremers , Zorah Lähner

The polarised spectrum of stellar radiation encodes valuable information on the conditions of stellar atmospheres and the magnetic fields that permeate them. In this paper, we give explicit expressions to estimate the magnetic field vector…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. J. Martínez González , R. Manso Sainz , A. Asensio Ramos , L. Belluzzi

Neural field is an emerging paradigm in data representation that trains a neural network to approximate the given signal. A key obstacle that prevents its widespread adoption is the encoding speed-generating neural fields requires an…

Machine Learning · Computer Science 2024-03-27 Junwon Seo , Sangyoon Lee , Kwang In Kim , Jaeho Lee

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

In the past, optimization-based registration models have used spatially-varying regularization to account for deformation variations in different image regions. However, deep learning-based registration models have mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Junyu Chen , Yihao Liu , Yufan He , Yong Du

We present a novel type of neural fields that uses general radial bases for signal representation. State-of-the-art neural fields typically rely on grid-based representations for storing local neural features and N-dimensional linear…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Zhang Chen , Zhong Li , Liangchen Song , Lele Chen , Jingyi Yu , Junsong Yuan , Yi Xu
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