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Imputation of missing data in large regions of satellite imagery is necessary when the acquired image has been damaged by shadows due to clouds, or information gaps produced by sensor failure. The general approach for imputation of missing…

Applications · Statistics 2010-06-23 Valeria Rulloni , Oscar Bustos , Ana Georgina Flesia

We propose a method for filling gaps and removing interferences in time series for applications involving continuous monitoring of environmental variables. The approach is non-parametric and based on an iterative pattern-matching between…

Geophysics · Physics 2015-08-11 Gregoire Mariethoz , Niklas Linde , Damien Jougnot , Hassan Rezaee

Remote sensing of oceanographic data often yields incomplete coverage of the measurement domain. This can limit interpretability of the data and identification of coherent features informative of ocean dynamics. Several methods exist to…

Atmospheric and Oceanic Physics · Physics 2019-03-27 Siavash Ameli , Shawn C. Shadden

In asteroseismology, the observed time series often suffers from incomplete time coverage due to gaps. The presence of periodic gaps may generate spurious peaks in the power spectrum that limit the analysis of the data. Various methods have…

Solar and Stellar Astrophysics · Physics 2015-06-23 Sandrine Pires , Savita Mathur , Rafael A. Garcia , Jérôme Ballot , Dennis Stello , Kumiko Sato

Datagaps are ubiquitous in real world observational data. Quantifying nonlinearity in data having gaps can be challenging. Reported research points out that interpolation can affect nonlinear quantifiers adversely, artificially introducing…

Chaotic Dynamics · Physics 2018-09-05 Sandip V. George , G. Ambika

Many observational records critically rely on our ability to merge different (and not necessarily overlapping) observations into a single composite. We provide a novel and fully-traceable approach for doing so, which relies on a multi-scale…

Solar and Stellar Astrophysics · Physics 2017-02-09 Thierry Dudok de Wit , Greg Kopp , Claus Fröhlich , Micha Schöll

Astronomical images often have regions with missing or unwanted information, such as bad pixels, bad columns, cosmic rays, masked objects, or residuals from imperfect model subtractions. In certain situations it can be essential, or…

Instrumentation and Methods for Astrophysics · Physics 2024-02-06 Pieter van Dokkum , Imad Pasha

Remotely sensed data are sparse, which means that data have missing values, for instance due to cloud cover. This is problematic for applications and signal processing algorithms that require complete data sets. To address the sparse data…

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 the coming decades, as the low frequency sensitivity of detectors improves, the time that gravitational-wave signals remain in the sensitive band will increase, leading to new challenges in analyzing data, namely non-stationary noise and…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Noah Pearson , Neil J. Cornish

Complex phenomena can be better understood when broken down into a limited number of simpler "components". Linear statistical methods such as the principal component analysis and its variants are widely used across various fields of applied…

Data Analysis, Statistics and Probability · Physics 2025-01-13 Iacopo Tirelli , Miguel Alfonso Mendez , Andrea Ianiro , Stefano Discetti

The variability inherent in solar wind composition has implications for the variability of the physical conditions in its coronal source regions, providing constraints on models of coronal heating and solar wind generation. We present a…

Solar and Stellar Astrophysics · Physics 2013-11-18 J. K. Edmondson , B. J. Lynch , S. T. Lepri , T. H. Zurbuchen

Experimental spatio-temporal flow data often contain gaps or other types of undesired artifacts. To reconstruct flow data in the compromised or missing regions, a data completion method based on spectral proper orthogonal decomposition…

Fluid Dynamics · Physics 2023-02-22 Akhil Nekkanti , Oliver T. Schmidt

This study introduces a framework for quality control of measured weather data, including anomaly detection, and infilling missing values. Weather data is a fundamental input to building performance simulations, in which anomalous values…

Machine Learning · Statistics 2020-11-20 Maryam MeshkinKiya , Riccardo Paolini

We consider the problem of reconstructing missing data on a smooth manifold from incomplete and nonuniform samples. While classical methods for manifold approximation typically assume quasi-uniform data, their performance deteriorates…

Numerical Analysis · Mathematics 2026-04-15 David Levin

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

In Helio- and asteroseismology, it is important to have continuous, uninterrupted, data sets. However, seismic observations usually contain gaps and we need to take them into account. In particular, if the gaps are not randomly distributed,…

Solar and Stellar Astrophysics · Physics 2010-05-03 K. H. Sato , R. A. Garcia , S. Pires , J. Ballot , S. Mathur , B. Mosser , E. Rodriguez , J. L. Starck , K. Uytterhoeven

In this paper a novel hybrid approach for compensating the distortion of any interpolation has been proposed. In this hybrid method, a modular approach was incorporated in an iterative fashion. By using this approach we can get drastic…

Multimedia · Computer Science 2010-09-21 A. ParandehGheibi , M. A. Akhaee , A. Ayremlou , M. A. Rahimian , F. Marvasti

In the era of big data, we first need to manage the data, which requires us to find missing data or predict the trend, so we need operations including interpolation and data fitting. Interpolation is a process to discover deducing new data…

Numerical Analysis · Mathematics 2022-08-26 Yijie Xu , Runqi Xu

Recovering images from optical interferometric observations is one of the major challenges in the field. Unlike the case of observations at radio wavelengths, in the optical the atmospheric turbulence changes the phases on a very short time…

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