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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…

Analysis of PDEs · Mathematics 2024-12-24 Yihui Tong , Wenjie Liu , Zhichang Guo , Wenjuan Yao

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhihao Xia , Ayan Chakrabarti

This paper proposes a novel method for automatic MRI denoising that exploits last advances in deep learning feature regression and self-similarity properties of the MR images. The proposed method is a two-stage approach. In the first stage,…

Image and Video Processing · Electrical Eng. & Systems 2019-11-19 Jose V. Manjon , Pierrick Coupe

Image denoising is the process of removing noise from noisy images, which is an image domain transferring task, i.e., from a single or several noise level domains to a photo-realistic domain. In this paper, we propose an effective image…

Image and Video Processing · Electrical Eng. & Systems 2019-06-05 Xianxu Hou , Hongming Luo , Jingxin Liu , Bolei Xu , Ke Sun , Yuanhao Gong , Bozhi Liu , Guoping Qiu

In this paper we consider the problem of acoustic inversion in the context of the optoacoustic tomography image reconstruction problem. By leveraging the ability of the recently proposed diffusion models for image generative tasks among…

Image and Video Processing · Electrical Eng. & Systems 2024-04-17 M. G. González , M. Vera , A. Dreszman , L. J. Rey Vega

Deep denoising models require extensive real-world training data, which is challenging to acquire. Current noise synthesis techniques struggle to accurately model complex noise distributions. We propose a novel Realistic Noise Synthesis…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Qi Wu , Mingyan Han , Ting Jiang , Chengzhi Jiang , Jinting Luo , Man Jiang , Haoqiang Fan , Shuaicheng Liu

Recently, diffusion models have shown remarkable results in image synthesis by gradually removing noise and amplifying signals. Although the simple generative process surprisingly works well, is this the best way to generate image data? For…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Sangyun Lee , Hyungjin Chung , Jaehyeon Kim , Jong Chul Ye

Conditional image synthesis based on user-specified requirements is a key component in creating complex visual content. In recent years, diffusion-based generative modeling has become a highly effective way for conditional image synthesis,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Zheyuan Zhan , Defang Chen , Jian-Ping Mei , Zhenghe Zhao , Jiawei Chen , Chun Chen , Siwei Lyu , Can Wang

We present an ``equation-free'' multiscale approach to the simulation of unsteady diffusion in a random medium. The diffusivity of the medium is modeled as a random field with short correlation length, and the governing equations are cast…

Numerical Analysis · Mathematics 2007-05-23 Dongbin Xiu , Ioannis Kevrekidis

Image matching is a fundamental and critical task of multisource remote sensing image applications. However, remote sensing images are susceptible to various noises. Accordingly, how to effectively achieve accurate matching in noise images…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Yuan Li , Dapeng Wu , Yaping Cui , Peng He , Yuan Zhang , Ruyan Wang

Variations of deep neural networks such as convolutional neural network (CNN) have been successfully applied to image denoising. The goal is to automatically learn a mapping from a noisy image to a clean image given training data consisting…

Computer Vision and Pattern Recognition · Computer Science 2017-09-29 Tianyang Wang , Mingxuan Sun , Kaoning Hu

Denoising diffusion models have emerged as the go-to generative framework for solving inverse problems in imaging. A critical concern regarding these models is their performance on out-of-distribution tasks, which remains an under-explored…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Riccardo Barbano , Alexander Denker , Hyungjin Chung , Tae Hoon Roh , Simon Arridge , Peter Maass , Bangti Jin , Jong Chul Ye

Improving the spatial resolution of CT images is a meaningful yet challenging task, often accompanied by the issue of noise amplification. This article introduces an innovative framework for noise-controlled CT super-resolution utilizing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Yuang Wang , Siyeop Yoon , Rui Hu , Baihui Yu , Duhgoon Lee , Rajiv Gupta , Li Zhang , Zhiqiang Chen , Dufan Wu

The pose-guided person image generation task requires synthesizing photorealistic images of humans in arbitrary poses. The existing approaches use generative adversarial networks that do not necessarily maintain realistic textures or need…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Ankan Kumar Bhunia , Salman Khan , Hisham Cholakkal , Rao Muhammad Anwer , Jorma Laaksonen , Mubarak Shah , Fahad Shahbaz Khan

Existing diffusion-based purification methods aim to disrupt adversarial perturbations by introducing a certain amount of noise through a forward diffusion process, followed by a reverse process to recover clean examples. However, this…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Gaozheng Pei , Shaojie Lyu , Gong Chen , Ke Ma , Qianqian Xu , Yingfei Sun , Qingming Huang

Image denoising is a prerequisite for downstream tasks in many fields. Low-dose and photon-counting computed tomography (CT) denoising can optimize diagnostic performance at minimized radiation dose. Supervised deep denoising methods are…

Machine Learning · Computer Science 2022-01-06 Chuang Niu , Mengzhou Li , Fenglei Fan , Weiwen Wu , Xiaodong Guo , Qing Lyu , Ge Wang

Given a factorization of an image into a sum of linear components, we present a zero-shot method to control each individual component through diffusion model sampling. For example, we can decompose an image into low and high spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Daniel Geng , Inbum Park , Andrew Owens

Image noise modeling is a long-standing problem with many applications in computer vision. Early attempts that propose simple models, such as signal-independent additive white Gaussian noise or the heteroscedastic Gaussian noise model…

Image and Video Processing · Electrical Eng. & Systems 2022-06-03 Ali Maleky , Shayan Kousha , Michael S. Brown , Marcus A. Brubaker

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

Optimization and Control · Mathematics 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova