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This work proposes a method for underwater image enhancement using the principle of histogram equalization. Since underwater images have a global strong dominant colour, their colourfulness and contrast are often degraded. Before applying…

Image and Video Processing · Electrical Eng. & Systems 2021-09-21 Anushka Yadav , Mayank Upadhyay , Ghanapriya Singh

In recent years, partial differential equation (PDE) systems have been successfully applied to the binarization of text images, achieving promising results. Inspired by the DH model and incorporating a novel image modeling approach, this…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Youjin Liu , Yu Wang

The powerful representation capacity of deep learning has made it inevitable for the underwater image enhancement community to employ its potential. The exploration of deep underwater image enhancement networks is increasing over time, and…

Computer Vision and Pattern Recognition · Computer Science 2019-07-19 Saeed Anwar , Chongyi Li

Images acquired during underwater activities suffer from environmental properties of the water, such as turbidity and light attenuation. These phenomena cause color distortion, blurring, and contrast reduction. In addition, irregular…

Image and Video Processing · Electrical Eng. & Systems 2022-08-09 Claudio D. Mello , Bryan U. Moreira , Paulo J. O. Evald , Paulo L. Drews , Silvia S. Botelho

Partial differential equations (PDEs) are typically used as models of physical processes but are also of great interest in PDE-based image processing. However, when it comes to their use in imaging, conventional numerical methods for…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Pascal Tom Getreuer , Peyman Milanfar , Xiyang Luo

Underwater image enhancement algorithms have attracted much attention in underwater vision task. However, these algorithms are mainly evaluated on different data sets and different metrics. In this paper, we set up an effective and pubic…

Image and Video Processing · Electrical Eng. & Systems 2019-07-02 Hanyu Li , Jingjing Li , Wei Wang

This report presents the results of a proposed multi-scale fusion-based single image de-hazing algorithm, which can also be used for underwater image enhancement. Furthermore, the algorithm was designed for very fast operation and minimal…

Computer Vision and Pattern Recognition · Computer Science 2018-08-30 Uche A. Nnolim

The challenges in recovering underwater images are the presence of diverse degradation factors and the lack of ground truth images. Although synthetic underwater image pairs can be used to overcome the problem of inadequately observing…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Zhenwei Zhang , Haorui Yan , Ke Tang , Yuping Duan

In this paper we establish a connection between non-convex optimization methods for training deep neural networks and nonlinear partial differential equations (PDEs). Relaxation techniques arising in statistical physics which have already…

Machine Learning · Computer Science 2017-06-05 Pratik Chaudhari , Adam Oberman , Stanley Osher , Stefano Soatto , Guillaume Carlier

In recent years, Artificial intelligence (AI) has become ubiquitous, empowering various fields, especially integrating artificial intelligence and traditional science (AI for Science: Artificial intelligence for science), which has…

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

This report presents the results of a partial differential equation (PDE)-based image enhancement algorithm, for dynamic range compression and illumination correction in the absence of the logarithmic function. The proposed algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 U. A. Nnolim

This report presents the results of a multi-scale wavelet based scheme for single image de-hazing and underwater image enhancement. The scheme is fast and highly localized in addition to global enhancement of hazy images. A PDE-based…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Uche A. Nnolim

This report presents the results of a sky detection technique used to improve the performance of a previously developed partial differential equation (PDE)-based hazy image enhancement algorithm. Additionally, a proposed alternative method…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Uche A. Nnolim

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

Partial differential equations (PDEs) are at the heart of many mathematical and scientific advances. While great progress has been made on the theory of PDEs of standard types during the last eight decades, the analysis of nonlinear PDEs of…

Analysis of PDEs · Mathematics 2022-08-16 Gui-Qiang G. Chen

Recent advances in deep learning, particularly neural networks, have significantly impacted a wide range of fields, including the automatic enhancement of underwater images. This paper presents a deep learning-based approach to improving…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Jose M. Montero , Jose-Luis Lisani

Partial differential equations (PDEs) form the backbone of simulations of many natural phenomena, for example in climate modeling, material science, and even financial markets. The application of physics-informed neural networks to…

Quantum Physics · Physics 2026-04-17 Nils Klement , Veronika Eyring , Mierk Schwabe

Underwater images normally suffer from degradation due to the transmission medium of water bodies. Both traditional prior-based approaches and deep learning-based methods have been used to address this problem. However, the inflexible…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Shixuan Xu , Hao Qi , Wei Wang , Chao Huang , Jie Wen , Junyu Dong , Xinghui Dong

The approximation of solutions of partial differential equations (PDEs) with numerical algorithms is a central topic in applied mathematics. For many decades, various types of methods for this purpose have been developed and extensively…

Numerical Analysis · Mathematics 2024-08-26 Lukas Gonon , Arnulf Jentzen , Benno Kuckuck , Siyu Liang , Adrian Riekert , Philippe von Wurstemberger