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Astronomical data are typically irregular in time, e.g. the space (HIPPARCOS/TYCHO, KEPLER, GAIA, WISE etc.) and ground-based CCD (NSVS, ASAS, CRTS, SuperWASP etc.) and photographic (Harvard, Sonneberg, Odessa etc.) photometrical surveys.…

Solar and Stellar Astrophysics · Physics 2019-02-05 Ivan L. Andronov

The accurate representation of geostrophic balance is an essential requirement for numerical modelling of geophysical flows. Significant effort is often put into the selection of accurate or optimal balance representation by the…

Atmospheric and Oceanic Physics · Physics 2015-05-19 James R. Maddison , Colin J. Cotter , Patrick E. Farrell

Recent developments in very long baseline interferometry (VLBI) have made it possible for the Event Horizon Telescope (EHT) to resolve the innermost accretion flows of the largest supermassive black holes on the sky. The sparse nature of…

Graph neural networks have shown promising results in weather forecasting, which is critical for human activity such as agriculture planning and extreme weather preparation. However, most studies focus on finite and local areas for…

Computational Engineering, Finance, and Science · Computer Science 2025-10-23 Zinan Zheng , Yang Liu , Jia Li

Recent image inpainting methods show promising results due to the power of deep learning, which can explore external information available from a large training dataset. However, many state-of-the-art inpainting networks are still limited…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Eunhye Lee , Jeongmu Kim , Jisu Kim , Tae Hyun Kim

In this paper we study a class of fast geometric image inpainting methods based on the idea of filling the inpainting domain in successive shells from its boundary inwards. Image pixels are filled by assigning them a color equal to a…

Numerical Analysis · Mathematics 2017-08-01 L. Robert Hocking , Thomas Holding , Carola-Bibiane Schoenlieb

Solar-wind 3-D reconstruction tomography based on interplanetary scintillation (IPS) studies provides fundamental information for space-weather forecasting models, and gives the possibility to determine heliospheric column densities. Here…

Solar and Stellar Astrophysics · Physics 2023-06-14 C. Tiburzi , B. V. Jackson , L. Cota , G. M. Shaifullah , R. A. Fallows , M. Tokumaru , P. Zucca

A fundamental problem in geostatistical modeling is to infer the heterogeneous geological field based on limited measurements and some prior spatial statistics. Semantic inpainting, a technique for image processing using deep generative…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Qiang Zheng , Lingzao Zeng , Zhendan Cao , George Em Karniadakis

Comparing paleoclimate time series is complicated by a variety of typical features, including irregular sampling, age model uncertainty (e.g., errors due to interpolation between radiocarbon sampling points) and time uncertainty…

Applications · Statistics 2019-03-29 Jasper G. Franke , Reik V. Donner

This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Compensated convexity methods for approximations and…

Metric Geometry · Mathematics 2018-09-11 Kewei Zhang , Elaine Crooks , Antonio Orlando

In the face of pressing environmental issues in the 21st century, monitoring surface changes on Earth is more important than ever. Large-scale remote sensing, such as satellite imagery, is an important tool for this task. However, using…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Raymond Yu , Paul Han , Josh Myers-Dean , Piper Wolters , Favyen Bastani

Extra-solar planets have not been imaged directly with existing ground or space telescopes because they are too faint to be seen against the halo of the nearby bright star. Most techniques being explored to suppress the halo are achromatic,…

Astrophysics · Physics 2009-11-10 Johanan L. Codona , Roger Angel

Based on realistic simulations, we propose an hybrid method to reconstruct the lensing potential power spectrum, directly on PLANCK-like CMB frequency maps. It implies using a large galactic mask and dealing with a strong inhomogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 S. Plaszczynski , A. Lavabre , L. Perotto , J. -L. Starck

Diffusion probabilistic models learn to remove noise added during training, generating novel data (e.g., images) from Gaussian noise through sequential denoising. However, conditioning the generative process on corrupted or masked images is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Sakshi Agarwal , Gabriel Hope , Jimin Heo , Erik B. Sudderth

Inpainting, the process of filling missing or corrupted image parts, has broad applications in medical imaging. However, generating anatomically accurate synthetic polyp images for clinical AI is a largely underexplored problem. In…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Duy-Bao Bui , Hoang-Khang Nguyen , Thao Thi Phuong Dao , Kim Anh Phung , Tam V. Nguyen , Justin Zhan , Minh-Triet Tran , Trung-Nghia Le

Amodal completion, which is the process of inferring the full appearance of objects despite partial occlusions, is crucial for understanding complex human-object interactions (HOI) in computer vision and robotics. Existing methods, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Seunggeun Chi , Enna Sachdeva , Pin-Hao Huang , Kwonjoon Lee

The rapid adoption of generative artificial intelligence (AI) is accelerating content creation and modification. For example, variations of a given content, be it text or images, can be created almost instantly and at a low cost. This will…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Javier Conde , Miguel González , Gonzalo Martínez , Fernando Moral , Elena Merino-Gómez , Pedro Reviriego

Deep learning based methods have penetrated many image processing problems and become dominant solutions to these problems. A natural question raised here is "Is there any space for conventional methods on these problems?" In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-30 Chaobing Zheng , Zhengguo Li , Shiqian Wu

Inpainting based image compression approaches, especially linear and non-linear diffusion models, are an active research topic for lossy image compression. The major challenge in these compression models is to find a small set of…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Yunjin Chen , René Ranftl , Thomas Pock

A pivotal step in image super-resolution techniques is interpolation, which aims at generating high resolution images without introducing artifacts such as blurring and ringing. In this paper, we propose a technique that performs…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Sobhan Kanti Dhara , Debashis Sen