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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

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

最优化与控制 · 数学 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

In this work we propose a new paradigm for designing fast plug-and-play (PnP) algorithms using dimensionality reduction techniques. Unlike existing approaches which utilize stochastic gradient iterations for acceleration, we propose novel…

图像与视频处理 · 电气工程与系统科学 2022-03-15 Junqi Tang

We introduce Blind Plug-and-Play Diffusion Models (Blind-PnPDM) as a novel framework for solving blind inverse problems where both the target image and the measurement operator are unknown. Unlike conventional methods that rely on explicit…

图像与视频处理 · 电气工程与系统科学 2025-05-30 Anqi Li , Weijie Gan , Ulugbek S. Kamilov

Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

计算机视觉与模式识别 · 计算机科学 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

In recent years, machine learning (ML) based reconstruction has been widely investigated and employed in cardiac magnetic resonance (CMR) imaging. ML-based reconstructions can deliver clinically acceptable image quality under substantially…

图像与视频处理 · 电气工程与系统科学 2024-11-18 Chi Zhang , Michael Loecher , Cagan Alkan , Mahmut Yurt , Shreyas S. Vasanawala , Daniel B. Ennis

Estimating high-quality images while also quantifying their uncertainty are two desired features in an image reconstruction algorithm for solving ill-posed inverse problems. In this paper, we propose plug-and-play Monte Carlo (PMC) as a…

图像与视频处理 · 电气工程与系统科学 2024-08-29 Yu Sun , Zihui Wu , Yifan Chen , Berthy T. Feng , Katherine L. Bouman

We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing. The objective function is traditionally defined by…

最优化与控制 · 数学 2021-04-22 Jean-Christophe Pesquet , Audrey Repetti , Matthieu Terris , Yves Wiaux

Blur and noise corrupting Computed Tomography (CT) images can hide or distort small but important details, negatively affecting the diagnosis. In this paper, we present a novel gradient-based Plug-and-Play algorithm, constructed on the…

Plug-and-play (PnP) methods for solving inverse problems have recently achieved strong performance by leveraging denoising priors based on powerful generative diffusion and flow models. However, existing diffusion- and flow-based PnP…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Hendrik Sommerhoff , Michael Moeller

In an inverse problem, the goal is to recover an unknown parameter (e.g., an image) that has typically undergone some lossy or noisy transformation during measurement. Recently, deep generative models, particularly diffusion models, have…

机器学习 · 计算机科学 2025-07-30 Amartya Banerjee , Xingyu Xu , Caroline Moosmüller , Harlin Lee

Message-passing algorithms have been adapted for compressive imaging by incorporating various off-the-shelf image denoisers. However, these denoisers rely largely on generic or hand-crafted priors and often fall short in accurately…

计算机视觉与模式识别 · 计算机科学 2025-12-17 Chang Cai , Hao Jiang , Xiaojun Yuan , Ying-Jun Angela Zhang

Plug-and-Play Alternating Direction Method of Multipliers (PnP-ADMM) is a widely-used algorithm for solving inverse problems by integrating physical measurement models and convolutional neural network (CNN) priors. PnP-ADMM has been…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Chicago Park , Shirin Shoushtari , Weijie Gan , Ulugbek S. Kamilov

Plug and play (P&P) algorithms iteratively apply highly optimized image denoisers to impose priors and solve computational image reconstruction problems, to great effect. However, in general the "effective noise", that is the difference…

信号处理 · 电气工程与系统科学 2020-10-27 Christopher A. Metzler , Gordon Wetzstein

The inherent ill-posed nature of image reconstruction problems, due to limitations in the physical acquisition process, is typically addressed by introducing a regularisation term that incorporates prior knowledge about the underlying…

图像与视频处理 · 电气工程与系统科学 2025-03-11 Naïl Khelifa , Ferdia Sherry , Carola-Bibiane Schönlieb

Magnetic resonance imaging (MRI) is a non-invasive medical imaging technique offering high-resolution 3D images and valuable insights into human tissue conditions. Even at present, the refinement of denoising methods for MRI remains a…

图像与视频处理 · 电气工程与系统科学 2023-08-29 Shiao Li

Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

计算机视觉与模式识别 · 计算机科学 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

In plug-and-play image restoration, the regularization is performed using powerful denoisers such as nonlocal means (NLM) or BM3D. This is done within the framework of alternating direction method of multipliers (ADMM), where the…

计算机视觉与模式识别 · 计算机科学 2019-01-21 Unni V. S. , Sanjay Ghosh , Kunal N. Chaudhury

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

图像与视频处理 · 电气工程与系统科学 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

计算机视觉与模式识别 · 计算机科学 2019-06-13 Yuxiang Dai , Peixian Zhuang