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This paper deals with a novel nonlinear coupled nonlocal reaction-diffusion system proposed for image restoration, characterized by the advantages of preserving low gray level features and textures.The gray level indicator in the proposed…

偏微分方程分析 · 数学 2025-11-04 Yuhang Li , Zhichang Guo , Jingfeng Shao , Boying Wu

This paper investigates a class of degenerate forward-backward diffusion equations with a nonlinear source term, proposed as a model for removing multiplicative noise in images. Based on Rothe's method, the relaxation theorem, and…

偏微分方程分析 · 数学 2024-12-24 Yihui Tong , Wenjie Liu , Zhichang Guo , Wenjuan Yao

In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-space properties and long time behaviour are analyzed. From a…

偏微分方程分析 · 数学 2017-02-21 A. Araújo , S. Barbeiro , E. Cuesta , A. Durán

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

机器学习 · 计算机科学 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

Diffusion models have achieved remarkable progress in generative modelling, particularly in enhancing image quality to conform to human preferences. Recently, these models have also been applied to low-level computer vision for…

计算机视觉与模式识别 · 计算机科学 2025-10-09 Ziwei Luo , Fredrik K. Gustafsson , Zheng Zhao , Jens Sjölund , Thomas B. Schön

For several decades, image restoration remains an active research topic in low-level computer vision and hence new approaches are constantly emerging. However, many recently proposed algorithms achieve state-of-the-art performance only at…

计算机视觉与模式识别 · 计算机科学 2015-03-26 Yunjin Chen , Wei Yu , Thomas Pock

Image restoration is a long-standing problem in low-level computer vision with many interesting applications. We describe a flexible learning framework based on the concept of nonlinear reaction diffusion models for various image…

计算机视觉与模式识别 · 计算机科学 2016-08-23 Yunjin Chen , Thomas Pock

Diffusion models have recently gained traction as a powerful class of deep generative priors, excelling in a wide range of image restoration tasks due to their exceptional ability to model data distributions. To solve image restoration…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Xiang Li , Soo Min Kwon , Shijun Liang , Ismail R. Alkhouri , Saiprasad Ravishankar , Qing Qu

This paper proposes a novel reaction-diffusion system approximation tailored for singular diffusion problems, typified by the fast diffusion equation. While such approximation methods have been successfully applied to degenerate parabolic…

偏微分方程分析 · 数学 2026-04-01 Hideki Murakawa , Florian Salin

Diffusion models have demonstrated remarkable efficacy in generating high-quality samples. Existing diffusion-based image restoration algorithms exploit pre-trained diffusion models to leverage data priors, yet they still preserve elements…

图像与视频处理 · 电气工程与系统科学 2024-08-07 Hongjie Wu , Linchao He , Mingqin Zhang , Dongdong Chen , Kunming Luo , Mengting Luo , Ji-Zhe Zhou , Hu Chen , Jiancheng Lv

Recently, research on denoising diffusion models has expanded its application to the field of image restoration. Traditional diffusion-based image restoration methods utilize degraded images as conditional input to effectively guide the…

计算机视觉与模式识别 · 计算机科学 2024-10-25 Zhenning Shi , Haoshuai Zheng , Chen Xu , Changsheng Dong , Bin Pan , Xueshuo Xie , Along He , Tao Li , Huazhu Fu

Image restoration aims to enhance low quality images, producing high quality images that exhibit natural visual characteristics and fine semantic attributes. Recently, the diffusion model has emerged as a powerful technique for image…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Jiangtong Tan , Feng Zhao

Previous raw image-based low-light image enhancement methods predominantly relied on feed-forward neural networks to learn deterministic mappings from low-light to normally-exposed images. However, they failed to capture critical…

计算机视觉与模式识别 · 计算机科学 2023-08-16 Yufei Wang , Yi Yu , Wenhan Yang , Lanqing Guo , Lap-Pui Chau , Alex C. Kot , Bihan Wen

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

图像与视频处理 · 电气工程与系统科学 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

Denosing diffusion model, as a generative model, has received a lot of attention in the field of image generation recently, thanks to its powerful generation capability. However, diffusion models have not yet received sufficient research in…

计算机视觉与模式识别 · 计算机科学 2023-04-12 ZiHan Cao , ShiQi Cao , Xiao Wu , JunMing Hou , Ran Ran , Liang-Jian Deng

This paper presents a novel approach for denoising Electron Backscatter Diffraction (EBSD) patterns using diffusion models. We propose a two-stage training process with a UNet-based architecture, incorporating an auxiliary regression head…

图像与视频处理 · 电气工程与系统科学 2025-09-01 Nikolay Falaleev , Nikolai Orlov

Diffusion models have established new state of the art in a multitude of computer vision tasks, including image restoration. Diffusion-based inverse problem solvers generate reconstructions of exceptional visual quality from heavily…

图像与视频处理 · 电气工程与系统科学 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

Recent advancements in text-guided diffusion models have unlocked powerful image manipulation capabilities. However, applying these methods to real images necessitates the inversion of the images into the domain of the pretrained diffusion…

计算机视觉与模式识别 · 计算机科学 2024-03-22 Daniel Garibi , Or Patashnik , Andrey Voynov , Hadar Averbuch-Elor , Daniel Cohen-Or

Diffusion models have attained remarkable success in the domains of image generation and editing. It is widely recognized that employing larger inversion and denoising steps in diffusion model leads to improved image reconstruction quality.…

计算机视觉与模式识别 · 计算机科学 2024-01-05 Chen Hou , Guoqiang Wei , Zhibo Chen

Diffusion models have demonstrated their powerful image generation capabilities, effectively fitting highly complex image distributions. These models can serve as strong priors for image restoration. Existing methods often utilize…

计算机视觉与模式识别 · 计算机科学 2025-03-03 Hanbang Liang , Zhen Wang , Weihui Deng
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