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This paper tackles algorithmic and theoretical aspects of dictionary learning from incomplete and random block-wise image measurements and the performance of the adaptive dictionary for sparse image recovery. This problem is related to…

计算机视觉与模式识别 · 计算机科学 2015-08-04 Mohammad Aghagolzadeh , Hayder Radha

We study the problem of recovering the underlining sparse signals from clean or noisy phaseless measurements. Due to the sparse prior of signals, we adopt an L0regularized variational model to ensure only a small number of nonzero elements…

最优化与控制 · 数学 2016-12-09 Yuping Duan , Chunlin Wu , Zhi-Feng Pang , Huibin Chang

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

统计方法学 · 统计学 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

In this paper, we propose a Bayesian MAP estimator for solving the deconvolution problems when the observations are corrupted by Poisson noise. Towards this goal, a proper data fidelity term (log-likelihood) is introduced to reflect the…

应用统计 · 统计学 2011-03-14 François-Xavier Dupé , Jalal Fadili , Jean-Luc Starck

We consider the problem of sparse coding, where each sample consists of a sparse linear combination of a set of dictionary atoms, and the task is to learn both the dictionary elements and the mixing coefficients. Alternating minimization is…

机器学习 · 计算机科学 2014-07-30 Alekh Agarwal , Animashree Anandkumar , Prateek Jain , Praneeth Netrapalli

Recently, the problem of blind image separation has been widely investigated, especially the medical image denoise which is the main step in medical diag-nosis. Removing the noise without affecting relevant features of the image is the main…

计算机视觉与模式识别 · 计算机科学 2018-07-11 R. M. Farouk , M. E. Abd El-aziz , A. M. Adam

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase.…

计算机视觉与模式识别 · 计算机科学 2011-08-17 Artem Migukin , Vladimir Katkovnik , Jaakko Astola

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

机器学习 · 计算机科学 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

Sparse representations has shown to be a very powerful model for real world signals, and has enabled the development of applications with notable performance. Combined with the ability to learn a dictionary from signal examples,…

计算机视觉与模式识别 · 计算机科学 2016-05-13 Jeremias Sulam , Boaz Ophir , Michael Zibulevsky , Michael Elad

This work presents an approach for image reconstruction in clinical low-dose tomography that combines principles from sparse signal processing with ideas from deep learning. First, we describe sparse signal representation in terms of…

机器学习 · 统计学 2023-11-27 Jevgenija Rudzusika , Thomas Koehler , Ozan Öktem

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

图像与视频处理 · 电气工程与系统科学 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury

We develop a Bayesian nonparametric model for reconstructing magnetic resonance images (MRI) from highly undersampled k-space data. We perform dictionary learning as part of the image reconstruction process. To this end, we use the beta…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Yue Huang , John Paisley , Qin Lin , Xinghao Ding , Xueyang Fu , Xiao-ping Zhang

Phase diversity is a widefield aberration correction method that uses multiple images to estimate the phase aberration at the pupil plane of an imaging system by solving an optimization problem. This estimated aberration can then be used to…

图像与视频处理 · 电气工程与系统科学 2023-08-03 Nikolaj Reiser , Min Guo , Hari Shroff , Patrick J. La Riviere

A variational approach to reconstruction of phase and amplitude of a complex-valued object from Poissonian intensity observations is developed. The observation model corresponds to the typical optical setups with a phase modulation of…

数值分析 · 计算机科学 2017-09-06 Vladimir Katkovnik

Most existing algorithms for dictionary learning assume that all entries of the (high-dimensional) input data are fully observed. However, in several practical applications (such as hyper-spectral imaging or blood glucose monitoring), only…

机器学习 · 统计学 2018-04-26 Thanh V. Nguyen , Akshay Soni , Chinmay Hegde

In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Milad Niknejad , Mario A. T. Figueiredo

In a sparse representation based recognition scheme, it is critical to learn a desired dictionary, aiming both good representational power and discriminative performance. In this paper, we propose a new dictionary learning model for…

计算机视觉与模式识别 · 计算机科学 2016-11-29 Xinglin Piao , Yongli Hu , Yanfeng Sun , Junbin Gao , Baocai Yin

In this letter, we propose a novel image denoising method based on correlation preserving sparse coding. Because the instable and unreliable correlations among basis set can limit the performance of the dictionary-driven denoising methods,…

计算机视觉与模式识别 · 计算机科学 2016-12-26 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

应用统计 · 统计学 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose…

机器学习 · 计算机科学 2015-02-03 Huan Wang , John Wright , Daniel Spielman