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Underwater vision suffers from severe effects due to selective attenuation and scattering when light propagates through water. Such degradation not only affects the quality of underwater images but limits the ability of vision tasks.…

Computer Vision and Pattern Recognition · Computer Science 2018-01-16 Chongyi Li , Jichang Guo , Chunle Guo

In multi-phase fluid flow, fluid-structure interaction, and other applications, partial differential equations (PDEs) often arise with discontinuous coefficients and singular sources (e.g., Dirac delta functions). These complexities arise…

Numerical Analysis · Mathematics 2019-07-24 Chung-Nan Tzou , Samuel Stechmann

Recently, a new underwater imaging formation model presented that the coefficients related to the direct and backscatter transmission signals are dependent on the type of water, camera specifications, water depth, and imaging range. This…

Robotics · Computer Science 2020-12-22 Monika Roznere , Alberto Quattrini Li

The evolution of dynamical systems is generically governed by nonlinear partial differential equations (PDEs), whose solution, in a simulation framework, requires vast amounts of computational resources. In this work, we present a novel…

Machine Learning · Computer Science 2023-09-01 Michael Rotman , Amit Dekel , Ran Ilan Ber , Lior Wolf , Yaron Oz

Partial differential equation (PDE) models with multiple temporal/spatial scales are prevalent in several disciplines such as physics, engineering, and many others. These models are of great practical importance but notoriously difficult to…

Numerical Analysis · Mathematics 2023-04-17 Junpeng Hu , Shi Jin , Lei Zhang

Due to the wavelength-dependent light attenuation, refraction and scattering, underwater images usually suffer from color distortion and blurred details. However, due to the limited number of paired underwater images with undistorted images…

Image and Video Processing · Electrical Eng. & Systems 2022-11-23 Qi Qi , Kunqian Li , Haiyong Zheng , Xiang Gao , Guojia Hou , Kun Sun

We present a novel dual-stream architecture that achieves state-of-the-art underwater image enhancement by explicitly integrating the Jaffe-McGlamery physical model with capsule clustering-based feature representation learning. Our method…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Niki Martinel , Rita Pucci

We present a novel underwater image enhancement method termed SCNet to improve the image quality meanwhile cope with the degradation diversity caused by the water. SCNet is based on normalization schemes across both spatial and channel…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Zhenqi Fu , Xiaopeng Lin , Wu Wang , Yue Huang , Xinghao Ding

In an underwater scene, wavelength-dependent light absorption and scattering degrade the visibility of images, causing low contrast and distorted color casts. To address this problem, we propose a convolutional neural network based image…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Saeed Anwar , Chongyi Li , Fatih Porikli

The task of simultaneously reconstructing multiple physical coefficients in partial differential equations (PDEs) from observed data is ubiquitous in applications. In this work, we propose an integrated data-driven and model-based iterative…

Numerical Analysis · Mathematics 2025-07-04 Kui Ren , Lu Zhang

We introduce a general, analytical framework to express and to approximate partial differential equations (PDEs) numerically on graphs and networks of surfaces---generalized by the term hypergraphs. To this end, we consider PDEs on…

Numerical Analysis · Mathematics 2022-07-04 Andreas Rupp , Markus Gahn , Guido Kanschat

In this paper, we propose simple numerical algorithms for partial differential equations (PDEs) defined on closed, smooth surfaces (or curves). In particular, we consider PDEs that originate from variational principles defined on the…

Numerical Analysis · Mathematics 2017-12-27 Jay Chu , Richard Tsai

In this paper, some enhanced error estimates are derived for the augmented subspace methods which are designed for solving eigenvalue problems. We will show that the augmented subspace methods have the second order convergence rate which is…

Numerical Analysis · Mathematics 2021-06-02 Haikun Dang , Yifan Wang , Hehu Xie , Chenguang Zhou

Uneven light image enhancement is a highly demanded task in many industrial image processing applications. Many existing enhancement methods using physical lighting models or deep-learning techniques often lead to unnatural results. This is…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Tian Pu , Shuhang Wang , Zhenming Peng , Qingsong Zhu

This work is concerned with linear matrix equations that arise from the space-time discretization of time-dependent linear partial differential equations (PDEs). Such matrix equations have been considered, for example, in the context of…

Numerical Analysis · Mathematics 2023-06-16 Daniel Kressner , Stefano Massei , Junli Zhu

Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differential Equations (PDEs) on 3D manifolds. PINNs are one of the…

Numerical Analysis · Mathematics 2021-03-05 Zhuochao Tang , Zhuojia Fu

In this paper, we present an approach to image enhancement with diffusion model in underwater scenes. Our method adapts conditional denoising diffusion probabilistic models to generate the corresponding enhanced images by using the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Yi Tang , Takafumi Iwaguchi , Hiroshi Kawasaki

One of the main challenges in deep learning-based underwater image enhancement is the limited availability of high-quality training data. Underwater images are difficult to capture and are often of poor quality due to the distortion and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Alzayat Saleh , Marcus Sheaves , Dean Jerry , Mostafa Rahimi Azghadi

A novel refinement measure for non-intrusive surrogate modelling of partial differential equations (PDEs) with uncertain parameters is proposed. Our approach uses an empirical interpolation procedure, where the proposed refinement measure…

Numerical Analysis · Mathematics 2019-07-10 Yous van Halder , Benjamin Sanderse , Barry Koren

Underwater images captured by Autonomous Underwater Vehicles (AUVs) are inevitably affected by artificial light sources, which often produce halos in the foreground of the camera and seriously interfere with the quality of the image. The…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Jiaxin Yang , Honglin Liu , Yongli Wang , Shuyi Cao , Chengcheng Jiang , Jiale Wang