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Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

As a powerful statistical image modeling technique, sparse representation has been successfully used in various image restoration applications. The success of sparse representation owes to the development of l1-norm optimization techniques,…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Weisheng Dong , Lei Zhang , Guangming Shi , Xiaolin Wu

Low level image restoration is an integral component of modern artificial intelligence (AI) driven camera pipelines. Most of these frameworks are based on deep neural networks which present a massive computational overhead on resource…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Avisek Lahiri , Sourav Bairagya , Sutanu Bera , Siddhant Haldar , Prabir Kumar Biswas

Super-resolution reconstruction (SRR) is a process aimed at enhancing spatial resolution of images, either from a single observation, based on the learned relation between low and high resolution, or from multiple images presenting the same…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Michal Kawulok , Pawel Benecki , Szymon Piechaczek , Krzysztof Hrynczenko , Daniel Kostrzewa , Jakub Nalepa

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

We proposed a novel approach to coherent imaging of dynamic samples. The inter-frame similarity of the sample's local structures is found to be a powerful constraint in phasing a sequence of diffraction patterns. We devised a new image…

Optics · Physics 2024-07-11 Pengju Sheng , Fucai Zhang

In this paper the focus is on subsampling as well as reconstructing the second-order statistics of signals residing on nodes of arbitrary undirected graphs. Second-order stationary graph signals may be obtained by graph filtering zero-mean…

Information Theory · Computer Science 2018-05-08 Sundeep Prabhakar Chepuri , Geert Leus

Time domain terahertz spectroscopy typically uses mechanical delay stages that inherently suffer from non-uniform sampling positions. We review, simulate, and experimentally test the ability of corrective cubic spline and Shannon…

Optics · Physics 2019-03-20 A. M. Potts , T. T. Mai , M. T. Warren , R. Valdés Aguilar

3D reconstruction of high-resolution target remains a challenge task due to the large memory required from the large input image size. Recently developed learning based algorithms provide promising reconstruction performance than…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Yanwei Wang

We propose a new deep recurrent neural network (RNN) architecture for sequential signal reconstruction. Our network is designed by unfolding the iterations of the proximal gradient method that solves the l1-l1 minimization problem. As such,…

Machine Learning · Computer Science 2019-02-19 Hung Duy Le , Huynh Van Luong , Nikos Deligiannis

A common distortion in videos is image instability in the form of chaotic (global and local displacements). Those instabilities can be used to enhance image resolution by using subpixel elastic registration. In this work, we investigate the…

Optics · Physics 2013-02-28 Gil Shabat

Quantum network is an emerging type of network structure that leverages the principles of quantum mechanics to transmit and process information. Compared with classical data reconstruction algorithms, quantum networks make image…

Quantum Physics · Physics 2024-12-23 Xun Ji , Qin Liu , Shan Huang , Andi Chen , Shengjun Wu

The sparse-driven radar imaging can obtain the high-resolution images about target scene with the down-sampled data. However, the huge computational complexity of the classical sparse recovery method for the particular situation seriously…

Quantum Physics · Physics 2022-01-05 Xiaowen Liu , Chen Dong , Ying Luo , Le Kang , Yong Liu , Qun Zhang

In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

This paper strives to generate a synthetic computed tomography (CT) image from a magnetic resonance (MR) image. The synthetic CT image is valuable for radiotherapy planning when only an MR image is available. Recent approaches have made…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Zenglin Shi , Pascal Mettes , Guoyan Zheng , Cees Snoek

A tomographic method is considered that forms images from sets of spatially randomized source signals and receiver sensitivities. The method is designed to allow image reconstruction for an extended number of transmitters and receivers in…

Medical Physics · Physics 2015-06-19 Gregory T. Clement , Tomoo Kamakura

The emerging technology of snapshot compressive imaging (SCI) enables capturing high dimensional (HD) data in an efficient way. It is generally implemented by two components: an optical encoder that compresses HD signals into a 2D…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Jiamian Wang , Yulun Zhang , Xin Yuan , Yun Fu , Zhiqiang Tao

Reconstructing a signal on a graph from noisy observations of a subset of the vertices is a fundamental problem in the field of graph signal processing. This paper investigates how sample size affects reconstruction error in the presence of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

Hyperspectral images, which store a hundred or more spectral bands of reflectance, have become an important data source in natural and social sciences. Hyperspectral images are often generated in large quantities at a relatively coarse…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Kangning Cui , Ruoning Li , Sam L. Polk , James M. Murphy , Robert J. Plemmons , Raymond H. Chan

In this paper, we present an approach to the reconstruction of signals exhibiting sparsity in a transformation domain, having some heavily disturbed samples. This sparsity-driven signal recovery exploits a carefully suited random sampling…

Information Theory · Computer Science 2020-03-30 Ljubisa Stankovic , Milos Brajovic , Isidora Stankovic , Jonatan Lerga , Milos Dakovic
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