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This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

信息论 · 计算机科学 2013-09-06 Christoph Studer , Richard G. Baraniuk

This study presents a practical and dose-efficient strategy for resolution enhancement in planar radiography, based on mechanically supersampled acquisition with high-Z photon-counting detectors (PCDs). Unlike prior event-based or cluster…

This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

统计方法学 · 统计学 2016-11-26 Kinjal Basu , Debapriya Sengupta

In Magnetic Particle Imaging (MPI), it is typically assumed that the studied specimen is stationary during the data acquisition. In practical applications however, the searched-for 3D distribution of the magnetic nanoparticles might show a…

最优化与控制 · 数学 2024-01-26 Marius Nitzsche , Bernadette N Hahn

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Hayaru Shouno

We propose a new space-variant regularization term for variational image restoration based on the assumption that the gradient magnitudes of the target image distribute locally according to a half-Generalized Gaussian distribution. This…

图像与视频处理 · 电气工程与系统科学 2019-06-27 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari

All techniques for denoising involve a notion of a true (noise-free) image, and a hypothesis space. The hypothesis space may reconstruct the image directly as a grayscale valued function, or indirectly by its Fourier or wavelet spectrum.…

图像与视频处理 · 电气工程与系统科学 2025-05-29 Sajal Chakroborty , Suddhasattwa Das

The objective of this paper is to develop methods for solving image recovery problems subject to constraints on the solution. More precisely, we will be interested in problems which can be formulated as the minimization over a closed convex…

最优化与控制 · 数学 2012-12-12 Caroline Chaux , Jean-Christophe Pesquet , Nelly Pustelnik

Reversible data hiding (RDH) is desirable in applications where both the hidden message and the cover medium need to be recovered without loss. Among many RDH approaches is prediction-error expansion (PEE), containing two steps: i)…

图像与视频处理 · 电气工程与系统科学 2018-02-21 Qi Chang , Gene Cheung , Yao Zhao , Xiaolong Li , Rongrong Ni

Here we study the extreme visual recovery problem, in which over 90\% of pixel values in a given image are missing. Existing low rank-based algorithms are only effective for recovering data with at most 90\% missing values. Thus, we exploit…

计算机视觉与模式识别 · 计算机科学 2016-04-20 Yunhe Wang , Chang Xu , Shan You , Dacheng Tao , Chao Xu

In phase retrieval, the goal is to recover a complex signal from the magnitude of its linear measurements. While many well-known algorithms guarantee deterministic recovery of the unknown signal using i.i.d. random measurement matrices,…

信息论 · 计算机科学 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

Image processing on surfaces has drawn significant interest in recent years, particularly in the context of denoising. Salt-and-pepper noise is a special type of noise which randomly sets a portion of the image pixels to the minimum or…

数值分析 · 数学 2024-09-18 Yuan Liu , Peiqi Yu , Chao Zeng

In recent years, patch-based image restoration approaches have demonstrated superior performance compared to conventional variational methods. This paper delves into the mathematical foundations underlying patch-based image restoration…

信息论 · 计算机科学 2023-11-21 Jian-Feng Cai , Jae Kyu Choi , Jingyang Li , Guojian Yin

We propose an original concept of compressive sensing (CS) polarimetric imaging based on a digital micro-mirror (DMD) array and two single-pixel detectors. The polarimetric sensitivity of the proposed setup is due to an experimental…

计算机视觉与模式识别 · 计算机科学 2018-05-23 Julien Fade , Estéban Perrotin , Jérôme Bobin

In this study, we propose a high-performance disparity (depth) estimation method using dual-pixel (DP) images with few parameters. Conventional end-to-end deep-learning methods have many parameters but do not fully exploit disparity…

计算机视觉与模式识别 · 计算机科学 2024-11-08 Teppei Kurita , Yuhi Kondo , Legong Sun , Takayuki Sasaki , Sho Nitta , Yasuhiro Hashimoto , Yoshinori Muramatsu , Yusuke Moriuchi

In this paper, we study the problem of image recovery from given partial (corrupted) observations. Recovering an image using a low-rank model has been an active research area in data analysis and machine learning. But often, images are not…

计算机视觉与模式识别 · 计算机科学 2020-03-13 Pawan Goyal , Hussam Al Daas , Peter Benner

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

数据分析、统计与概率 · 物理学 2017-01-12 Yun Zhao

We introduce an algorithm for the deconvolution of radio synthesis images that accounts for the non-coplanar-baseline effect, allows multiscale reconstruction onto arbitrarily positioned pixel grids, and allows the antenna elements to have…

天体物理仪器与方法 · 物理学 2013-10-09 Stephen J. Hardy

Dictionary learning can be used for image superresolution by learning a pair of coupled dictionaries of image patches from high-resolution and low-resolution image pairs such that the corresponding pairs share the same sparse vector when…

计算机视觉与模式识别 · 计算机科学 2023-08-08 Antonio Castro

Due to the factors like processing power limitations and channel capabilities images are often down sampled and transmitted at low bit rates resulting in a low resolution compressed image. High resolution images can be reconstructed from…

计算机视觉与模式识别 · 计算机科学 2011-03-01 Liyakathunisa , C. N . Ravi Kumar