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Geomagnetic map interpolation aims to infer unobserved geomagnetic data at spatial points, yielding critical applications in navigation and resource exploration. However, existing methods for scattered data interpolation are not…

Artificial Intelligence · Computer Science 2026-02-03 Wenda Li , Tongya Zheng , Kaixuan Chen , Shunyu Liu , Haoze Jiang , Yunzhi Hao , Rui Miao , Zujie Ren , Mingli Song , Hang Shi , Gang Chen

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

Proton therapy offers superior organ-at-risk sparing but is highly sensitive to anatomical changes, making accurate deformable image registration (DIR) across longitudinal CT scans essential. Conventional DIR methods are often too slow for…

The Depth from Defocus (DFD) imaging technique for measuring the size and number concentration of particles in a dispersed two-phase flow has up to now been restricted to relatively sparse particle densities and to identifying only…

Fluid Dynamics · Physics 2024-04-01 Rixin Xua , Zuojie Huanga , Wenchao Gonga , Wu Zhoua , Cameron Tropea

We present a mapping algorithm to compute large-scale magnetic field maps in indoor environments with approximate Gaussian process (GP) regression. Mapping the spatial variations in the ambient magnetic field can be used for localization…

Machine Learning · Statistics 2023-11-01 Clara Menzen , Marnix Fetter , Manon Kok

Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

Robotics · Computer Science 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Constructing a classical potential suited to simulate a given atomic system is a remarkably difficult task. This chapter presents a framework under which this problem can be tackled, based on the Bayesian construction of nonparametric force…

Computational Physics · Physics 2020-07-01 Aldo Glielmo , Claudio Zeni , Ádám Fekete , Alessandro De Vita

The Gridding algorithm has shown great utility for reconstructing images from non-uniformly spaced samples in the Fourier domain in several imaging modalities. Due to the non-uniform spacing, some correction for the variable density of the…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Nicholas Dwork , Daniel O'Connor , Ethan M. I. Johnson , Corey A. Baron , Jeremy W. Gordon , John M. Pauly , Peder E. Z. Larson

Many scientific and engineering processes produce spatially unstructured data. However, most data-driven models require a feature matrix that enforces both a set number and order of features for each sample. They thus cannot be easily…

Machine Learning · Computer Science 2021-09-30 Francis Ogoke , Kazem Meidani , Amirreza Hashemi , Amir Barati Farimani

We propose a supervised nonrigid image registration method, trained using artificial displacement vector fields (DVF), for which we propose and compare three network architectures. The artificial DVFs allow training in a fully supervised…

Image and Video Processing · Electrical Eng. & Systems 2019-08-28 Hessam Sokooti , Bob de Vos , Floris Berendsen , Mohsen Ghafoorian , Sahar Yousefi , Boudewijn P. F. Lelieveldt , Ivana Isgum , Marius Staring

Recent progress in synthetic aperture sonar (SAS) technology and processing has led to significant advances in underwater imaging, outperforming previously common approaches in both accuracy and efficiency. There are, however, inherent…

Numerical Analysis · Mathematics 2017-06-28 John McKay , Anne Gelb , Vishal Monga , Raghu Raj

The neural radiance field (NeRF) has made significant strides in representing 3D scenes and synthesizing novel views. Despite its advancements, the high computational costs of NeRF have posed challenges for its deployment in…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Xiangyu Sun , Joo Chan Lee , Daniel Rho , Jong Hwan Ko , Usman Ali , Eunbyung Park

A key challenge in spatial statistics is the analysis for massive spatially-referenced data sets. Such analyses often proceed from Gaussian process specifications that can produce rich and robust inference, but involve dense covariance…

Methodology · Statistics 2019-07-25 Shinichiro Shirota , Andrew O. Finley , Bruce D. Cook , Sudipto Banerjee

Real-time reconstruction of deformable surgical scenes is vital for advancing robotic surgery, improving surgeon guidance, and enabling automation. Recent methods achieve dense reconstructions from da Vinci robotic surgery videos, with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Tianyi Song , Danail Stoyanov , Evangelos Mazomenos , Francisco Vasconcelos

We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalue problems. We employ an offline-online decomposition…

Numerical Analysis · Mathematics 2024-06-04 Moataz Alghamdi , Fleurianne Bertrand , Daniele Boffi , Abdul Halim

We present a parallel distributed-memory algorithm for large deformation diffeomorphic registration of volumetric images that produces large isochoric deformations (locally volume preserving). Image registration is a key technology in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-25 Andreas Mang , Amir Gholami , George Biros

Dimensionality reduction (DR) is an important technique for data exploration and knowledge discovery. However, most of the main DR methods are either linear (e.g., PCA), do not provide an explicit mapping between the original data and its…

Neural and Evolutionary Computing · Computer Science 2022-03-15 Thomas Uriot , Marco Virgolin , Tanja Alderliesten , Peter Bosman

In adaptive radiotherapy, deformable image registration is often conducted between the planning CT and treatment CT (or cone beam CT) to generate a deformation vector field (DVF) for dose accumulation and contour propagation. The auto…

Medical Physics · Physics 2015-06-12 Xuejun Gu , Bin Dong , Jing Wang , John Yordy , Loren Mell , Xun Jia , Steve B. Jiang

We describe a diffeomorphic registration algorithm that allows groups of images to be accurately aligned to a common space, which we intend to incorporate into the SPM software. The idea is to perform inference in a probabilistic graphical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mikael Brudfors , Yaël Balbastre , Guillaume Flandin , Parashkev Nachev , John Ashburner

Skin distortion is a long standing challenge in fingerprint matching, which causes false non-matches. Previous studies have shown that the recognition rate can be improved by estimating the distortion field from a distorted fingerprint and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Xiongjun Guan , Yongjie Duan , Jianjiang Feng , Jie Zhou
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