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This paper investigates the convergence properties and applications of the three-operator splitting method, also known as Davis-Yin splitting (DYS) method, integrated with extrapolation and Plug-and-Play (PnP) denoiser within a nonconvex…

数值分析 · 数学 2024-06-05 Zhongming Wu , Chaoyan Huang , Tieyong Zeng

Plug-and-Play Priors (PnP) is a well-known class of methods for solving inverse problems in computational imaging. PnP methods combine physical forward models with learned prior models specified as image denoisers. A common issue with the…

图像与视频处理 · 电气工程与系统科学 2024-03-18 Edward P. Chandler , Shirin Shoushtari , Jiaming Liu , M. Salman Asif , Ulugbek S. Kamilov

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

机器学习 · 计算机科学 2019-08-07 Sören Dittmer , Peter Maass

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

We mainly analyze and solve the overfitting problem of deep image prior (DIP). Deep image prior can solve inverse problems such as super-resolution, inpainting and denoising. The main advantage of DIP over other deep learning approaches is…

图像与视频处理 · 电气工程与系统科学 2023-02-20 Zhaodong Sun , Thomas Sanchez , Fabian Latorre , Volkan Cevher

Text-to-image generative models have attracted rising attention for flexible image editing via user-specified descriptions. However, text descriptions alone are not enough to elaborate the details of subjects, often compromising the…

计算机视觉与模式识别 · 计算机科学 2023-06-14 Xin Zhang , Jiaxian Guo , Paul Yoo , Yutaka Matsuo , Yusuke Iwasawa

It is known that the minimum-mean-squared-error (MMSE) denoiser under Gaussian noise can be written as a proximal operator, which suffices for asymptotic convergence of plug-and-play (PnP) methods but does not reveal the structure of the…

最优化与控制 · 数学 2026-04-06 Henry Pritchard , Rahul Parhi

We propose an OCT super-resolution framework based on a plug-and-play diffusion model (PnP-DM) to reconstruct high-quality images from sparse measurements (OCT B-mode corneal images). Our method formulates reconstruction as an inverse…

图像与视频处理 · 电气工程与系统科学 2025-05-22 Yaning Wang , Jinglun Yu , Wenhan Guo , Yu Sun , Jin U. Kang

Event cameras are novel bio-inspired sensors that measure per-pixel brightness differences asynchronously. Recovering brightness from events is appealing since the reconstructed images inherit the high dynamic range (HDR) and high-speed…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Zelin Zhang , Anthony Yezzi , Guillermo Gallego

We propose a novel plug-and-play (PnP) module for improving depth prediction with taking arbitrary patterns of sparse depths as input. Given any pre-trained depth prediction model, our PnP module updates the intermediate feature map such…

图像与视频处理 · 电气工程与系统科学 2019-04-12 Tsun-Hsuan Wang , Fu-En Wang , Juan-Ting Lin , Yi-Hsuan Tsai , Wei-Chen Chiu , Min Sun

With the advent of mobile phone photography and point-and-shoot cameras, deep-burst imaging is widely used for a number of photographic effects such as depth of field, super-resolution, motion deblurring, and image denoising. In this work,…

计算机视觉与模式识别 · 计算机科学 2023-06-19 Arijit Mallick , Raphael Braun , Hendrik PA Lensch

We propose an adaptive regularization scheme in a variational framework where a convex composite energy functional is optimized. We consider a number of imaging problems including denoising, segmentation and motion estimation, which are…

计算机视觉与模式识别 · 计算机科学 2017-03-01 Byung-Woo Hong , Ja-Keoung Koo , Hendrik Dirks , Martin Burger

Background noise in many fields such as medical imaging poses significant challenges for accurate diagnosis, prompting the development of denoising algorithms. Traditional methodologies, however, often struggle to address the complexities…

图像与视频处理 · 电气工程与系统科学 2025-02-03 Amirreza Hashemi , Sayantan Dutta , Bertrand Georgeot , Denis Kouame , Hamid Sabet

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

计算机视觉与模式识别 · 计算机科学 2019-04-30 Rohit Jena

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

图像与视频处理 · 电气工程与系统科学 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

Machine learning techniques are immensely deployed in both industry and academy. Recent studies indicate that machine learning models used for classification tasks are vulnerable to adversarial examples, which limits the usage of…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Yutong Gao , Yi Pan

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

Deep image prior (DIP) is an unsupervised deep learning framework that has been successfully applied to a variety of inverse imaging problems. However, DIP-based methods are inherently prone to overfitting, which leads to performance…

计算机视觉与模式识别 · 计算机科学 2026-04-10 Panagiotis Gkotsis , Athanasios A. Rontogiannis

Image denoising is a classic restoration problem. Yet, current deep learning methods are subject to the problems of generalization and interpretability. To mitigate these problems, in this project, we present a framework that is capable of…

图像与视频处理 · 电气工程与系统科学 2021-06-18 Haley Owsianko , Florian Cassayre , Qiyuan Liang

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators. For filters of full length, we propose a stochastic gradient descent algorithm on a submanifold of the Stiefel…

最优化与控制 · 数学 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl
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