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Climate modelers generally require meteorological information on regular grids, but monitoring stations are, in practice, sited irregularly. Thus, there is a need to produce public data records that interpolate available data to a high…

Applications · Statistics 2009-06-08 Michael L. Stein

We consider some iterative methods for finding the best interpolation data in the images compression with noise. The interpolation data consists of the set of pixels and their grey/color values. The aim in the iterative approach is to allow…

Analysis of PDEs · Mathematics 2022-09-30 Zakaria Belhachmi , Thomas Jacumin

Existing deep learning based image inpainting methods use a standard convolutional network over the corrupted image, using convolutional filter responses conditioned on both valid pixels as well as the substitute values in the masked holes…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Guilin Liu , Fitsum A. Reda , Kevin J. Shih , Ting-Chun Wang , Andrew Tao , Bryan Catanzaro

We propose a new problem of missing data reconstruction in the time-frequency plane. This problem called phase inpainting, consists in reconstructing a signal from time-frequency observations where all amplitudes and some phases are known…

Signal Processing · Electrical Eng. & Systems 2018-12-12 A. ~Marina Krémé , Valentin Emiya , Caroline Chaux

Ray tracing is increasingly utilized in wireless system simulations to estimate channel paths. In large-scale simulations with complex environments, ray tracing at high resolution can be computationally demanding. To reduce the computation,…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Ruibin Chen , Jayadev Joy , Yaqi Hu , Mingsheng Yin , Marco Mezzavilla , Sundeep Rangan

Inpainting, for filling missing image regions, is a crucial task in various applications, such as medical imaging and remote sensing. Trending data-driven approaches efficiency, for image inpainting, often requires extensive data…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Saad Noufel , Nadir Maaroufi , Mehdi Najib , Mohamed Bakhouya

In this paper we design a neural interpolation operator to improve the boundary data for regional weather models, which is a challenging problem as we are required to map multi-scale dynamics between grid resolutions. In particular, we…

Machine Learning · Computer Science 2025-05-20 James Jackaman , Oliver Sutton

Products derived from a single multispectral sensor are hampered by a limited spatial, spectral or temporal resolutions. Image fusion in general and downscaling/blending in particular allow to combine different multiresolution datasets. We…

Signal Processing · Electrical Eng. & Systems 2020-12-16 Alvaro Moreno-Martinez , Marco Maneta , Gustau Camps-Valls , Luca Martino , Nathaniel Robinson , Brady Allred , Steven W Running

The structure and dynamics of the magnetospheres of the outer planets, particularly Saturn and Jupiter, have been explored both through remote and in-situ observations. Interpreting these observations often necessitates simultaneous…

Solar and Stellar Astrophysics · Physics 2021-09-22 Mathew Owens , Jonathan Nichols

We adapt image inpainting techniques to impute large, irregular missing regions in urban settings characterized by sparsity, variance in both space and time, and anomalous events. Missing regions in urban data can be caused by sensor or…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Bin Han , Bill Howe

Exploiting the deep generative model's remarkable ability of learning the data-manifold structure, some recent researches proposed a geometric data interpolation method based on the geodesic curves on the learned data-manifold. However,…

Machine Learning · Computer Science 2019-01-25 Jiseob Kim , Byoung-Tak Zhang

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

Holography is a cornerstone characterisation and imaging technique that can be applied to the full electromagnetic spectrum, from X-rays to radio waves or even particles such as neutrons. The key property in all these holographic approaches…

Quantum Physics · Physics 2021-01-12 Hugo Defienne , Bienvenu Ndagano , Ashley Lyons , Daniele Faccio

Disentangling the stellar population in the central galaxy from the intrahalo light can help us shed light on the formation history of the host halo, as the properties of the stellar components are expected to retain traces of its formation…

Astrophysics of Galaxies · Physics 2024-07-02 I. Marini , A. Saro , S. Borgani , M. Boi

Applications of satellite data in areas such as weather tracking and modeling, ecosystem monitoring, wildfire detection, and land-cover change are heavily dependent on the trade-offs to spatial, spectral and temporal resolutions of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Thomas Vandal , Ramakrishna Nemani

Homogeneous diffusion inpainting can reconstruct missing image areas with high quality from a sparse subset of known pixels, provided that their location as well as their gray or color values are well optimized. This property is exploited…

Image and Video Processing · Electrical Eng. & Systems 2024-08-13 Niklas Kämper , Vassillen Chizhov , Joachim Weickert

Given the widespread availability of grids of models for stellar atmospheres, it is necessary to recover intermediate atmospheric models by means of accurate techniques that go beyond simple linear interpolation and capture the intricacies…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 C. Westendorp Plaza , A. Asensio Ramos , C. Allende Prieto

We present a new technique for the interpolation of discretely-sampled non-negat ive scalar fields across regions of missing data. Any set of basis functions can be used, though the method is fastest when they are close to orthogonal. We…

Astrophysics · Physics 2007-05-23 Will Saunders , Bill E. Ballinger

In passive imaging, one attempts to reconstruct some coefficients in a wave equation from correlations of observed randomly excited solutions to this wave equation. Many methods proposed for this class of inverse problem so far are only…

Numerical Analysis · Mathematics 2024-03-12 Björn Müller , Thorsten Hohage , Damien Fournier , Laurent Gizon

1D stellar evolution codes employ rudimentary treatments of turbulent convection. For stars with convective envelopes, this leads to systematic errors in the predicted oscillation frequencies needed for asteroseismology. One way of mending…

Solar and Stellar Astrophysics · Physics 2019-02-13 Andreas Christ Sølvsten Jørgensen , Achim Weiss , George Angelou , Víctor Silva Aguirre