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We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

图像与视频处理 · 电气工程与系统科学 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

In most state-of-the-art image restoration methods, the sum of a data-fidelity and a regularization term is optimized using an iterative algorithm such as ADMM (alternating direction method of multipliers). In recent years, the possibility…

图像与视频处理 · 电气工程与系统科学 2020-01-08 Ruturaj G. Gavaskar , Kunal N. Chaudhury

Snapshot compressive imaging (SCI) captures high-dimensional data efficiently by compressing it into two-dimensional observations and reconstructing high-dimensional data from two-dimensional observations with various algorithms. The…

图像与视频处理 · 电气工程与系统科学 2025-03-06 Takashi Matsuda , Ryo Hayakawa , Youji Iiguni

Magnetic Resonance Imaging (MRI) is a noninvasive imaging technique that provides excellent soft-tissue contrast without using ionizing radiation. MRI's clinical application may be limited by long data acquisition time; therefore, MR image…

图像与视频处理 · 电气工程与系统科学 2020-12-11 Shen Zhao , Lee C. Potter , Rizwan Ahmad

Ultrasound images are widespread in medical diagnosis for musculoskeletal, cardiac, and obstetrical imaging due to the efficiency and non-invasiveness of the acquisition methodology. However, the acquired images are degraded by acoustic…

图像与视频处理 · 电气工程与系统科学 2023-06-14 Hojat Asgariandehkordi , Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

We propose a new plug-and-play priors (PnP) based MR image reconstruction method that systematically enforces data consistency while also exploiting deep-learning priors. Our prior is specified through a convolutional neural network (CNN)…

图像与视频处理 · 电气工程与系统科学 2022-04-12 Weijie Gan , Cihat Eldeniz , Jiaming Liu , Sihao Chen , Hongyu An , Ulugbek S. Kamilov

In this paper, we propose to regularize ill-posed inverse problems using a deep hierarchical variational autoencoder (HVAE) as an image prior. The proposed method synthesizes the advantages of i) denoiser-based Plug \& Play approaches and…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Jean Prost , Antoine Houdard , Andrés Almansa , Nicolas Papadakis

In this article, we propose a novel regularization method for a class of nonlinear inverse problems that is inspired by an application in quantitative magnetic resonance imaging (qMRI). The latter is a special instance of a general…

最优化与控制 · 数学 2025-06-16 Guozhi Dong , Michael Hintermüller , Clemens Sirotenko

Many challenging image processing tasks can be described by an ill-posed linear inverse problem: deblurring, deconvolution, inpainting, compressed sensing, and superresolution all lie in this framework. Traditional inverse problem solvers…

计算机视觉与模式识别 · 计算机科学 2019-06-05 Davis Gilton , Greg Ongie , Rebecca Willett

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

State-of-the-art algorithms for imaging inverse problems (namely deblurring and reconstruction) are typically iterative, involving a denoising operation as one of its steps. Using a state-of-the-art denoising method in this context is not…

计算机视觉与模式识别 · 计算机科学 2016-08-03 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

机器学习 · 计算机科学 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Diffusion models have demonstrated exceptional ability in modeling complex image distributions, making them versatile plug-and-play priors for solving imaging inverse problems. However, their reliance on large-scale clean datasets for…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Weimin Bai , Weiheng Tang , Enze Ye , Siyi Chen , Wenzheng Chen , He Sun

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

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

最优化与控制 · 数学 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Inverse problems in image processing are typically cast as optimization tasks, consisting of data-fidelity and stabilizing regularization terms. A recent regularization strategy of great interest utilizes the power of denoising engines. Two…

图像与视频处理 · 电气工程与系统科学 2020-10-30 Regev Cohen , Michael Elad , Peyman Milanfar

Magnetic Resonance Imaging (MRI) is a widely used imaging technique, however it has the limitation of long scanning time. Though previous model-based and learning-based MRI reconstruction methods have shown promising performance, most of…

图像与视频处理 · 电气工程与系统科学 2024-05-10 Yue Cai , Yu Luo , Jie Ling , Shun Yao

Regularization strategies in medical image registration often take a one-size-fits-all approach by imposing uniform constraints across the entire image domain. Yet biological structures are anything but regular. Lacking structural…

计算机视觉与模式识别 · 计算机科学 2025-04-09 Ziad Kheil , Soleakhena Ken , Laurent Risser