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Simulating the time evolution of Partial Differential Equations (PDEs) of large-scale systems is crucial in many scientific and engineering domains such as fluid dynamics, weather forecasting and their inverse optimization problems.…

Machine Learning · Computer Science 2022-10-13 Tailin Wu , Takashi Maruyama , Jure Leskovec

Underwater image enhancement (UIE) is a challenging task due to the complex degradation caused by underwater environments. To solve this issue, previous methods often idealize the degradation process, and neglect the impact of medium noise…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Jingchun Zhou , Zongxin He , Qiuping Jiang , Kui Jiang , Xianping Fu , Xuelong Li

Image contrast enhancement for outdoor vision is important for smart car auxiliary transport systems. The video frames captured in poor weather conditions are often characterized by poor visibility. Most image dehazing algorithms consider…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Huimin Lu , Yujie Li , Shota Nakashima , Seiichi Serikawa

In the present work, a multi-scale framework for neural network enhanced methods is proposed for approximation of function and solution of partial differential equations (PDEs). By introducing the multi-scale concept, the total solution of…

Numerical Analysis · Mathematics 2022-09-07 Xiaodan Ren

How to effectively remove the noise while preserving the image structure features is a challenging issue in the field of image denoising. In recent years, fractional PDE based methods have attracted more and more research efforts due to the…

Numerical Analysis · Mathematics 2021-05-11 Maoyuan Xu , Xiaoping Xie

Underwater imaging grapples with challenges from light-water interactions, leading to color distortions and reduced clarity. In response to these challenges, we propose a novel Color Balance Prior \textbf{Guided} \textbf{Hyb}rid…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Xiaojiao Guo , Xuhang Chen , Shuqiang Wang , Chi-Man Pun

In this paper we have present an improved Cycle GAN based model for under water image enhancement. We have utilized the cycle consistent learning technique of the state-of-the-art Cycle GAN model with modification in the loss function in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Tashmoy Ghosh

This paper provides a rigorous convergence rate and complexity analysis for a recently introduced framework, called PDE acceleration, for solving problems in the calculus of variations, and explores applications to obstacle problems. PDE…

Numerical Analysis · Mathematics 2019-07-31 Jeff Calder , Anthony Yezzi

A novel method of color image enhancement is proposed, in which three or four color channels of the image are transformed to one channel 2-D grayscale image. This paper describes different models of such transformations in the RGB and other…

Image and Video Processing · Electrical Eng. & Systems 2018-07-24 Artyom M Grigoryan , Aparna John , Sos S Agaian

Underwater image restoration is essential for marine applications ranging from ecological monitoring to archaeological surveys, but effectively addressing the complex and spatially varying nature of underwater degradations remains a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Shravan Venkatraman , Rakesh Raj Madavan , Pavan Kumar S , Muthu Subash Kavitha

Underwater image enhancement (UIE) presents a significant challenge within computer vision research. Despite the development of numerous UIE algorithms, a thorough and systematic review is still absent. To foster future advancements, we…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Xiaofeng Cong , Yu Zhao , Jie Gui , Junming Hou , Dacheng Tao

The appearance of objects in underwater images is degraded by the selective attenuation of light, which reduces contrast and causes a colour cast. This degradation depends on the water environment, and increases with depth and with the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Chau Yi Li , Andrea Cavallaro

Underwater degraded images greatly challenge existing algorithms to detect objects of interest. Recently, researchers attempt to adopt attention mechanisms or composite connections for improving the feature representation of detectors.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Chenping Fu , Wanqi Yuan , Jiewen Xiao , Risheng Liu , Xin Fan

Maps from a source manifold $ {\mathcal M}$ to a target manifold ${\mathcal N}$ appear in liquid crystals, colour image enhancement, texture mapping, brain mapping, and many other areas. A numerical framework to solve variational problems…

Numerical Analysis · Mathematics 2017-10-27 Nathan D. King , Steven J. Ruuth

Cervical cancer remains a significant health problem, especially in developing countries. Early detection is critical for effective treatment. Convolutional neural networks (CNN) have shown promise in automated cervical cancer screening,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-19 Ach Khozaimi , Isnani Darti , Syaiful Anam , Wuryansari Muharini Kusumawinahyu

This paper examines aspirational requirements for software addressing mixed-integer optimization problems constrained by the nonlinear Shallow Water partial differential equations (PDEs), motivated by applications such as river-flow…

Optimization and Control · Mathematics 2026-05-26 Fabio DiFonzo , Michael Holst , Morteza Kimiaei , Vyacheslav Kungurtsev , Songqiang Qiu

Image enhancement aims at processing an input image so that the visual content of the output image is more pleasing or more useful for certain applications. Although histogram equalization is widely used in image enhancement due to its…

Computer Vision and Pattern Recognition · Computer Science 2021-01-18 Xiangyuan Zhu , Xiaoming Xiao , Tardi Tjahjadi , Zhihu Wu , Jin Tang

Underwater photography presents significant inherent challenges including reduced contrast, spatial blur, and wavelength-dependent color distortions. These effects can obscure the vibrancy of marine life and awareness photographers in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Andreas Mentzelopoulos , Keith Ellenbogen

In this report, we present and compare the results of an improved fractional and integer order partial differential equation (PDE)-based binarization scheme. The improved model incorporates a diffusion term in addition to the edge and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Uche A. Nnolim

We introduce a new multi-dimensional nonlinear embedding -- Piecewise Flat Embedding (PFE) -- for image segmentation. Based on the theory of sparse signal recovery, piecewise flat embedding with diverse channels attempts to recover a…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Chaowei Fang , Zicheng Liao , Yizhou Yu
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