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This paper investigates the super-resolution (SR) of velocity fields in two-dimensional fluids from the viewpoint of rotational equivariance. SR refers to techniques that estimate high-resolution images from those in low resolution and has…

Fluid Dynamics · Physics 2022-10-26 Yuki Yasuda , Ryo Onishi

In the past years modern mathematical methods for image analysis have led to a revolution in many fields, from computer vision to scientific imaging. However, some recently developed image processing techniques successfully exploited by…

Instrumentation and Methods for Astrophysics · Physics 2015-01-19 Marco Castellano , Daniele Ottaviani , Adriano Fontana , Emiliano Merlin , Stefano Pilo , Maurizio Falcone

In this paper, we introduce a novel approach that combines multiresolution (MR) techniques with the flux reconstruction (FR) method to accurately and effciently simulate compressible flows. We achieve further enhancements in effciency…

Fluid Dynamics · Physics 2023-06-21 Yixuan Lian , Jinsheng Cai , Shucheng Pan

This paper presents a gradient-based reconstruction approach for simulations of compressible single and multi-species Navier-Stokes equations. The novel feature of the proposed algorithm is the efficient reconstruction via derivative…

Fluid Dynamics · Physics 2022-11-29 Amareshwara Sainadh Chamarthi

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

While 3D Gaussian splatting (3DGS) offers explicit and efficient scene representations for cone-beam computed tomography reconstruction, conventional photometric optimization inherently suffers from spectral bias under ultra sparse-view…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Jian Lin , Jiancheng Fang , Shaoyu Wang , Changan Lai , Yikun Zhang , Yang Chen , Qiegen Liu

Despite the remarkable progresses made in deep-learning based depth map super-resolution (DSR), how to tackle real-world degradation in low-resolution (LR) depth maps remains a major challenge. Existing DSR model is generally trained and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Xibin Song , Yuchao Dai , Dingfu Zhou , Liu Liu , Wei Li , Hongdng Li , Ruigang Yang

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Quarter sampling is a novel sensor design that allows for an acquisition of higher resolution images without increasing the number of pixels. When being used for video data, one out of four pixels is measured in each frame. Effectively,…

Image and Video Processing · Electrical Eng. & Systems 2022-03-18 Simon Grosche , Jürgen Seiler , André Kaup

Conventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this context, pressure-velocity coupling is a key issue, and…

Mathematical Physics · Physics 2025-06-06 Ricardo Costa , Stéphane Clain , Gaspar J. Machado , João M. Nóbrega

We aim at accelerating super-resolution (SR) networks on large images (2K-8K). The large images are usually decomposed into small sub-images in practical usages. Based on this processing, we found that different image regions have different…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Xiangtao Kong , Hengyuan Zhao , Yu Qiao , Chao Dong

Convolutional Neural Networks (CNNs) have achieved impressive results across many super-resolution (SR) and image restoration tasks. While many such networks can upscale low-resolution (LR) images using just the raw pixel-level information,…

Image and Video Processing · Electrical Eng. & Systems 2021-10-29 Matthew Aquilina , Christian Galea , John Abela , Kenneth P. Camilleri , Reuben A. Farrugia

Reconstructing high-resolution flow fields from sparse measurements is a major challenge in fluid dynamics. Existing methods often vectorize the flow by stacking different spatial directions on top of each other, hence confounding the…

Fluid Dynamics · Physics 2023-05-17 Mohammad Farazmand , Arvind K. Saibaba

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

In this paper, we consider the task of space-time video super-resolution (ST-VSR), namely, expanding a given source video to a higher frame rate and resolution simultaneously. However, most existing schemes either consider a fixed…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Yuantong Zhang , Daiqin Yang , Zhenzhong Chen , Wenpeng Ding

Sentinel-1 is a synthetic aperture radar (SAR) platform with an operational mode called extra wide (EW) that offers large regions of ocean areas to be observed. A major issue with EW images is that the cross-polarized HV and VH channels…

Image and Video Processing · Electrical Eng. & Systems 2021-07-13 Peter Q. Lee , Linlin Xu , David A. Clausi

We propose Noisier2Inverse, a correction-free self-supervised deep learning approach for general inverse problems. The proposed method learns a reconstruction function without the need for ground truth samples and is applicable in cases…

Computer Vision and Pattern Recognition · Computer Science 2025-03-30 Nadja Gruber , Johannes Schwab , Markus Haltmeier , Ander Biguri , Clemens Dlaska , Gyeongha Hwang

This article focuses on techniques for acoustic noise reduction, signal filters and source reconstruction. For noise reduction, bandpass filters and cross correlations are found to be efficient and fast ways to improve the signal to noise…

Instrumentation and Methods for Astrophysics · Physics 2009-06-10 C. Richardt , G. Anton , K. Graf , J. Hoessl , A. Kappes , U. Katz , R. Lahmann , Ch. Naumann , M. Neff , F. Schoeck

A generalized approach to decompose the compressible Navier-Stokes equations into an equivalent set of coupled equations for flow and acoustics is introduced. As a significant extension to standard hydrodynamic/acoustic splitting methods,…

Fluid Dynamics · Physics 2021-08-18 Roland Ewert , Johannes Kreuzinger

Structured illumination microscopy (SIM) is an optical super-resolution technique that enables live-cell imaging beyond the diffraction limit. Reconstruction of SIM data is prone to artefacts, which becomes problematic when imaging highly…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Charles N. Christensen , Meng Lu , Edward N. Ward , Pietro Lio , Clemens F. Kaminski
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