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Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

信息论 · 计算机科学 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

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

Dynamic Magnetic Resonance Imaging (MRI) is a crucial non-invasive method used to capture the movement of internal organs and tissues, making it a key tool for medical diagnosis. However, dynamic MRI faces a major challenge: long…

图像与视频处理 · 电气工程与系统科学 2024-09-20 Tamir Shor , Chaim Baskin , Alex Bronstein

This paper aims at developing a clustering approach with spectral images directly from CASSI compressive measurements. The proposed clustering method first assumes that compressed measurements lie in the union of multiple low-dimensional…

图像与视频处理 · 电气工程与系统科学 2019-11-06 Jianchen Zhu , Tong Zhang , Shengjie Zhao , Carlos Hinojosa , Zengli Liu , Gonzalo R. Arce

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

信息论 · 计算机科学 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

We consider the compressive sensing of a sparse or compressible signal ${\bf x} \in {\mathbb R}^M$. We explicitly construct a class of measurement matrices, referred to as the low density frames, and develop decoding algorithms that produce…

信息论 · 计算机科学 2009-03-05 Mehmet Akçakaya , Jinsoo Park , Vahid Tarokh

The lensless endoscope is a promising device designed to image tissues in vivo at the cellular scale. The traditional acquisition setup consists in raster scanning during which the focused light beam from the optical fiber illuminates…

计算机视觉与模式识别 · 计算机科学 2018-10-31 Stéphanie Guérit , Siddharth Sivankutty , Camille Scotté , John Alto Lee , Hervé Rigneault , Laurent Jacques

The characterization of multicomponent signals with a particular emphasis on musical and communication signals is one of the problems studied in the dissertation. In order to provide an efficient analysis of the multicomponent signals, the…

信号处理 · 电气工程与系统科学 2019-03-01 Andjela Draganic

In this paper the authors describe the problem of acquisition of interfered signals and formulate a filtering problem. A frequency-selective compressed sensing technique is proposed as a solution to this problem. Signal acquisition is…

信息论 · 计算机科学 2015-01-19 Jacek Pierzchlewski , Thomas Arildsen

A multiplicative Gaussian wire-tap channel inspired by compressed sensing is studied. Lower and upper bounds on the secrecy capacity are derived, and shown to be relatively tight in the large system limit for a large class of compressed…

信息论 · 计算机科学 2015-03-19 Galen Reeves , Naveen Goela , Nebojsa Milosavljevic , Michael Gastpar

Increasing the imaging speed is a central aim in photoacoustic tomography. This issue is especially important in the case of sequential scanning approaches as applied for most existing optical detection schemes. In this work we address this…

数值分析 · 数学 2016-11-23 Markus Haltmeier , Thomas Berer , Sunghwan Moon , Peter Burgholzer

We study an auto-calibration problem in which a transform-sparse signal is acquired via compressive sensing by multiple sensors in parallel, but with unknown calibration parameters of the sensors. This inverse problem has an important…

最优化与控制 · 数学 2025-10-29 Yuan Ni , Thomas Strohmer

Wireless tomography is a technique for inferring a physical environment within a monitored region by analyzing RF signals traversed across the region. In this paper, we consider wireless tomography in a two and higher dimensionally…

信息论 · 计算机科学 2014-07-10 Kazushi Takemoto , Takahiro Matsuda , Shinsuke Hara , Kenichi Takizawa , Fumie Ono , Ryu Miura

Compressive sensing is considered a huge breakthrough in signal acquisition. It allows recording an image consisting of $N^2$ pixels using much fewer than $N^2$ measurements if it can be transformed to a basis where most pixels take on…

光学 · 物理学 2013-04-02 Marc Aßmann , Manfred Bayer

The interest of compressive sampling in ultrasound imaging has been recently extensively evaluated by several research teams. Following the different application setups, it has been shown that the RF data may be reconstructed from a small…

计算机视觉与模式识别 · 计算机科学 2015-12-07 Zhouye Chen , Adrian Basarab , Denis Kouamé

This work addresses the problem of extracting deeply learned features directly from compressive measurements. There has been no work in this area. Existing deep learning tools only give good results when applied on the full signal, that too…

计算机视觉与模式识别 · 计算机科学 2016-12-23 Shikha Singh , Vanika Singhal , Angshul Majumdar

Data saving capability of "Compressed sensing (sampling)" in signal discretization is disputed and found to be far below the theoretical upper bound defined by the signal sparsity. On a simple and intuitive example, it is demonstrated that,…

信息论 · 计算机科学 2015-10-28 L. Yaroslavsky

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

信息论 · 计算机科学 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

信息论 · 计算机科学 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

Anisotropic Diffusion is widely used for noise reduction with simultaneous preservation of vascular structures in maximum intensity projected (MIP) angiograms. However, extension to minimum intensity projected (mIP) venograms in…

计算机视觉与模式识别 · 计算机科学 2015-01-15 P. K. Akshara , J. S. Paul