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We explore the connection between Plug-and-Play (PnP) methods and Denoising Diffusion Implicit Models (DDIM) for solving ill-posed inverse problems, with a focus on single-pixel imaging. We begin by identifying key distinctions between PnP…

计算机视觉与模式识别 · 计算机科学 2025-09-12 Xiaodong Wang , Ping Wang , Zhangyuan Li , Xin Yuan

Non-rigid 3D registration, which deforms a source 3D shape in a non-rigid way to align with a target 3D shape, is a classical problem in computer vision. Such problems can be challenging because of imperfect data (noise, outliers and…

计算机视觉与模式识别 · 计算机科学 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrained optimization problem, where a regularization function is…

最优化与控制 · 数学 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

The plug-and-play priors (PnP) framework has been recently shown to achieve state-of-the-art results in regularized image reconstruction by leveraging a sophisticated denoiser within an iterative algorithm. In this paper, we propose a new…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Yu Sun , Shiqi Xu , Yunzhe Li , Lei Tian , Brendt Wohlberg , Ulugbek S. Kamilov

Alternating Direction Method of Multipliers (ADMM) has been used successfully in many conventional machine learning applications and is considered to be a useful alternative to Stochastic Gradient Descent (SGD) as a deep learning optimizer.…

最优化与控制 · 数学 2021-07-07 Junxiang Wang , Fuxun Yu , Xiang Chen , Liang Zhao

Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

Augmented Lagrangian method (also called as method of multipliers) is an important and powerful optimization method for lots of smooth or nonsmooth variational problems in modern signal processing, imaging, optimal control and so on.…

最优化与控制 · 数学 2021-08-31 Hongpeng Sun

The alternating direction method of multipliers (ADMM) has found widespread use in solving separable convex optimization problems. In this paper, by employing Nesterov extrapolation technique, we propose two families of accelerated…

最优化与控制 · 数学 2024-05-13 X. He , N. J. Huang , Y. P. Fang

Total variation has proved its effectiveness in solving inverse problems for compressive sensing. Besides, the nonlocal means filter used as regularization preserves texture better for recovered images, but it is quite complex to implement.…

计算机视觉与模式识别 · 计算机科学 2016-08-30 Trinh Van Chien , Khanh Quoc Dinh , Viet Anh Nguyen , Byeungwoo Jeon

Electrical capacitance tomography (ECT) has been investigated in many fields due to its advantages of being non-invasive and low cost. Sparse algorithms with l1-norm regularization are used to reduce the smoothing effect and obtain sharp…

信号处理 · 电气工程与系统科学 2017-11-08 Jiaoxuan Chen , Maomao Zhang , Yi Li

In recent years, denoising methods based on deep learning have achieved unparalleled performance at the cost of large computational complexity. In this work, we propose an Efficient Multi-stage Video Denoising algorithm, called EMVD, to…

图像与视频处理 · 电气工程与系统科学 2023-03-31 Matteo Maggioni , Yibin Huang , Cheng Li , Shuai Xiao , Zhongqian Fu , Fenglong Song

Plug-and-Play (PnP) methods have become standard tools for solving imaging inverse problems by replacing the intractable maximum a posteriori (MAP) denoiser with the MMSE one. While this mismatch has been widely treated as unavoidable,…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Kenta Vert , Giacomo Meanti , Scott Pesme , Michael Arbel , Julien Mairal

Regularized inversion methods for image reconstruction are used widely due to their tractability and ability to combine complex physical sensor models with useful regularity criteria. Such methods motivated the recently developed…

计算机视觉与模式识别 · 计算机科学 2018-06-14 Gregery T. Buzzard , Stanley H. Chan , Suhas Sreehari , Charles A. Bouman

For image recovery problems, plug-and-play (PnP) methods have been developed that replace the proximal step in an optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network.…

信息论 · 计算机科学 2022-02-14 Saurav K Shastri , Rizwan Ahmad , Christopher A Metzler , Philip Schniter

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

图像与视频处理 · 电气工程与系统科学 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

We propose a data-driven algorithm for the maximum a posteriori (MAP) estimation of stochastic processes from noisy observations. The primary statistical properties of the sought signal is specified by the penalty function (i.e., negative…

机器学习 · 计算机科学 2018-02-14 Ha Q. Nguyen , Emrah Bostan , Michael Unser

The ability of widely distributed radar systems to capture diverse spatial scattering properties substantially improves radar imaging performance. Traditional imaging methods leverage regularized optimization techniques to reconstruct…

信号处理 · 电气工程与系统科学 2023-07-18 Ahmed Murtada , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

Graph signal processing is a ubiquitous task in many applications such as sensor, social, transportation and brain networks, point cloud processing, and graph neural networks. Often, graph signals are corrupted in the sensing process, thus…

信号处理 · 电气工程与系统科学 2022-07-27 Masatoshi Nagahama , Koki Yamada , Yuichi Tanaka , Stanley H. Chan , Yonina C. Eldar

Imaging polarimetry allows more information to be extracted from a scene than conventional intensity or colour imaging. However, a major challenge of imaging polarimetry is image degradation due to noise. This paper investigates the…

计算机视觉与模式识别 · 计算机科学 2018-05-09 Alexander B. Tibbs , Ilse M. Daly , Nicholas W. Roberts , David R. Bull

We consider X-ray coherent scatter imaging, where the goal is to reconstruct momentum transfer profiles (spectral distributions) at each spatial location from multiplexed measurements of scatter. Each material is characterized by a unique…

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