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In sparse recovery, the unique sparsest solution to an under-determined system of linear equations is of main interest. This scheme is commonly proposed to be applied to signal acquisition. In most cases, the signals are not sparse…

Information Theory · Computer Science 2013-07-16 Henning Zörlein , Faisal Akram , Martin Bossert

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…

Optimization and Control · Mathematics 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Blind image deblurring is a challenging problem in computer vision, which aims to restore both the blur kernel and the latent sharp image from only a blurry observation. Inspired by the prevalent self-example prior in image…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Yuanchao Bai , Huizhu Jia , Ming Jiang , Xianming Liu , Xiaodong Xie , Wen Gao

To accelerate deep CNN models, this paper proposes a novel spatially adaptive framework that can dynamically generate pixel-wise sparsity according to the input image. The sparse scheme is pixel-wise refined, regional adaptive under a…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Chen Tang , Wenyu Sun , Zhuqing Yuan , Yongpan Liu

Supervised Deep-Learning (DL)-based reconstruction algorithms have shown state-of-the-art results for highly-undersampled dynamic Magnetic Resonance Imaging (MRI) reconstruction. However, the requirement of excessive high-quality…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Jie Feng , Ruimin Feng , Qing Wu , Zhiyong Zhang , Yuyao Zhang , Hongjiang Wei

In dynamic magnetic resonance (MR) imaging, low-rank plus sparse (L+S) decomposition, or robust principal component analysis (PCA), has achieved stunning performance. However, the selection of the parameters of L+S is empirical, and the…

Image and Video Processing · Electrical Eng. & Systems 2021-07-21 Wenqi Huang , Ziwen Ke , Zhuo-Xu Cui , Jing Cheng , Zhilang Qiu , Sen Jia , Leslie Ying , Yanjie Zhu , Dong Liang

A key recent advance in face recognition models a test face image as a sparse linear combination of a set of training face images. The resulting sparse representations have been shown to possess robustness against a variety of distortions…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Yi Chen , Umamahesh Srinivas , Thong T. Do , Vishal Monga , Trac D. Tran

Intrinsic image decomposition, which is an essential task in computer vision, aims to infer the reflectance and shading of the scene. It is challenging since it needs to separate one image into two components. To tackle this, conventional…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Yunfei Liu , Yu Li , Shaodi You , Feng Lu

We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Non-negative signals form an important class of sparse signals. Many algorithms have already beenproposed to recover such non-negative representations, where greedy and convex relaxed algorithms are among the most popular methods. The…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Konstantinos A. Voulgaris , Mike E. Davies , Mehrdad Yaghoobi

Recently, label consistent k-svd (LC-KSVD) algorithm has been successfully applied in image classification. The objective function of LC-KSVD is consisted of reconstruction error, classification error and discriminative sparse codes error…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Shuai Shao , Yan-Jiang Wang , Bao-Di Liu , Weifeng Liu , Rui Xu

The effectiveness of using model sparsity as a priori information when solving linear inverse problems is studied. We investigate the reconstruction quality of such a method in the non-idealized case and compute some typical recovery errors…

Numerical Analysis · Mathematics 2010-07-19 Ignace Loris , Caroline Verhoeven

Image restoration refers to the process of reconstructing noisy, destroyed, or missing parts of an image, which is an ill-posed inverse problem. A specific regularization term and image degradation are typically assumed to achieve…

Image and Video Processing · Electrical Eng. & Systems 2025-04-15 Jianwei Ke

An efficient nonlinear contrast source inversion scheme for electromagnetic imaging of sparse two-dimensional investigation domains is proposed. To avoid generating a sequence of linear sparse optimization problems, the non-linearity is…

Signal Processing · Electrical Eng. & Systems 2021-04-13 Ali I. Sandhu , Abdulla Desmal , Hakan Bagci

Deep neural networks give state-of-the-art accuracy for reconstructing images from few and noisy measurements, a problem arising for example in accelerated magnetic resonance imaging (MRI). However, recent works have raised concerns that…

Image and Video Processing · Electrical Eng. & Systems 2021-06-14 Mohammad Zalbagi Darestani , Akshay S. Chaudhari , Reinhard Heckel

In this work we propose a technique to remove sparse impulse noise from hyperspectral images. Our algorithm accounts for the spatial redundancy and spectral correlation of such images. The proposed method is based on the recently introduced…

Image and Video Processing · Electrical Eng. & Systems 2019-12-16 Angshul Majumdar , Naushad Ansari , Hemant Aggarwal , Pravesh Biyani

Encoded representations from a pretrained deep learning model (e.g., BERT text embeddings, penultimate CNN layer activations of an image) convey a rich set of features beneficial for information retrieval. Embeddings for a particular…

Machine Learning · Computer Science 2023-04-24 Hyunjin Choi , Hyunjae Lee , Seongho Joe , Youngjune L. Gwon

The reconstruction of a high resolution image given a low resolution observation is an ill-posed inverse problem in imaging. Deep learning methods rely on training data to learn an end-to-end mapping from a low-resolution input to a…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Iman Marivani , Evaggelia Tsiligianni , Bruno Cornelis , Nikos Deligiannis

We introduce a dynamic sparse training algorithm based on linearized Bregman iterations / mirror descent that exploits the naturally incurred sparsity by alternating between periods of static and dynamic sparsity pattern updates. The key…

Machine Learning · Computer Science 2026-05-19 Yannick Lunk , Sebastian J. Scott , Leon Bungert

Surface reconstruction from sparse views aims to reconstruct a 3D shape or scene from few RGB images. The latest methods are either generalization-based or overfitting-based. However, the generalization-based methods do not generalize well…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Liang Han , Xu Zhang , Haichuan Song , Kanle Shi , Yu-Shen Liu , Zhizhong Han