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Related papers: Poisson Image Deconvolution by a Plug-and-Play Qua…

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In this paper we analyze the Gradient-Step Denoiser and its usage in Plug-and-Play algorithms. The Plug-and-Play paradigm of optimization algorithms uses off the shelf denoisers to replace a proximity operator or a gradient descent operator…

Machine Learning · Computer Science 2025-09-15 Vincent Herfeld , Baudouin Denis de Senneville , Arthur Leclaire , Nicolas Papadakis

Low-light image denoising and enhancement are challenging, especially when traditional noise assumptions, such as Gaussian noise, do not hold in majority. In many real-world scenarios, such as low-light imaging, noise is signal-dependent…

Image and Video Processing · Electrical Eng. & Systems 2025-11-03 Isha Rao , Ratul Chakraborty , Sanjay Ghosh

We propose a general deep plug-and-play (PnP) algorithm with a theoretical convergence guarantee. PnP strategies have demonstrated outstanding performance in various image restoration tasks by exploiting the powerful priors underlying…

Image and Video Processing · Electrical Eng. & Systems 2025-12-19 Yodai Suzuki , Ryosuke Isono , Shunsuke Ono

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transforms. Our key…

Applications · Statistics 2009-11-13 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Magnetic resonance imaging (MRI) plays an important role in modern medical diagnostic but suffers from prolonged scan time. Current deep learning methods for undersampled MRI reconstruction exhibit good performance in image de-aliasing…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Min Xiao , Zi Wang , Jiefeng Guo , Xiaobo Qu

In a great number of tasks in science and engineering, the goal is to infer an unknown image from a small number of measurements collected from a known forward model describing certain sensing or imaging modality. Due to resource…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Xingyu Xu , Yuejie Chi

Much research has been devoted to the problem of restoring Poissonian images, namely for medical and astronomical applications. However, the restoration of these images using state-of-the-art regularizers (such as those based on multiscale…

Optimization and Control · Mathematics 2012-10-10 Mário A. T. Figueiredo , José M. Bioucas-Dias

This paper introduces a stochastic plug-and-play (PnP) sampling algorithm that leverages variable splitting to efficiently sample from a posterior distribution. The algorithm based on split Gibbs sampling (SGS) draws inspiration from the…

Machine Learning · Statistics 2023-04-24 Florentin Coeurdoux , Nicolas Dobigeon , Pierre Chainais

The main scope of this paper is to show how tools from quantum mechanics, in particular the Schroedinger equation, can be used to construct an adaptive transform suitable for signal and image processing applications. The proposed dictionary…

Signal Processing · Electrical Eng. & Systems 2019-11-26 Raphaël Smith , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

Ptychography is a coherent diffraction imaging method that uses phase retrieval techniques to reconstruct complex-valued images. It achieves this by sequentially illuminating overlapping regions of a sample with a coherent beam and…

Image and Video Processing · Electrical Eng. & Systems 2024-12-04 Alexander Denker , Johannes Hertrich , Zeljko Kereta , Silvia Cipiccia , Ecem Erin , Simon Arridge

Posterior sampling has been shown to be a powerful Bayesian approach for solving imaging inverse problems. The recent plug-and-play unadjusted Langevin algorithm (PnP-ULA) has emerged as a promising method for Monte Carlo sampling and…

Machine Learning · Statistics 2025-08-13 Marien Renaud , Jiaming Liu , Valentin de Bortoli , Andrés Almansa , Ulugbek S. Kamilov

Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. As the distribution of Poisson noise depends on the pixel intensity value, noise levels vary from pixels to pixels. Hence,…

Image and Video Processing · Electrical Eng. & Systems 2023-07-04 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

Many material and biological samples in scientific imaging are characterized by non-local repeating structures. These are studied using scanning electron microscopy and electron tomography. Sparse sampling of individual pixels in a 2D image…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Suhas Sreehari , S. V. Venkatakrishnan , Brendt Wohlberg , Lawrence F. Drummy , Jeffrey P. Simmons , Charles A. Bouman

A passive scheme with a beam splitter and a photon-number-resolving (PNR) detector is proposed to verify the photon statistics of an untrusted source in a plug-and-play quantum-key-distribution system by applying a three-intensity…

Quantum Physics · Physics 2010-10-11 Bingjie Xu , Xiang Peng , Hong Guo

We present a convolutional autoencoder to denoise pulses from a p-type point contact high-purity germanium detector similar to those used in several rare event searches. While we focus on training procedures that rely on detailed detector…

In this paper, we denoise a given noisy image by minimizing a smoothness promoting function over a set of local similarity measures which compare the mean of the given image and some candidate image on a large collection of subboxes. The…

Optimization and Control · Mathematics 2024-06-24 Christian Kanzow , Fabius Krämer , Patrick Mehlitz , Gerd Wachsmuth , Frank Werner

We propose a novel multi-layer neural network architecture that gives a promising neural network empowered optimization approach to the image restoration problem. The proposed architecture is motivated by the recent study of monotone…

Optimization and Control · Mathematics 2025-10-27 Haruya Shimizu , Masahiro Yukawa

It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, the most popular regularization approaches are Variational-type approaches, i.e.,…

Optimization and Control · Mathematics 2021-06-30 Abinash Nayak

Video Snapshot compressive imaging (SCI) is a promising technique to capture high-speed videos, which transforms the imaging speed from the detector to mask modulating and only needs a single measurement to capture multiple frames. The…

Image and Video Processing · Electrical Eng. & Systems 2022-01-31 Zongliang Wu , Chengshuai Yang , Xiongfei Su , Xin Yuan