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We examine the problem of selecting a small set of linear measurements for reconstructing high-dimensional signals. Well-established methods for optimizing such measurements include principal component analysis (PCA), independent component…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Ling-Qi Zhang , Zahra Kadkhodaie , Eero P. Simoncelli , David H. Brainard

A novel compressive-sensing based signal multiplexing scheme is proposed in this paper to further improve the multiplexing gain for multiple input multiple output (MIMO) system. At the transmitter side, a Gaussian random measurement matrix…

Information Theory · Computer Science 2016-04-05 Chanzi Liu , Qingchun Chen , Xiaohu Tang

Magnetic resonance imaging (MRI) is a non-invasive imaging modality and provides comprehensive anatomical and functional insights into the human body. However, its long acquisition times can lead to patient discomfort, motion artifacts, and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Mojtaba Safari , Zach Eidex , Chih-Wei Chang , Richard L. J. Qiu , Xiaofeng Yang

We consider the problem of reconstructing an image from compressive measurements using a multi-resolution grid. In this context, the reconstructed image is divided into multiple regions, each one with a different resolution. This problem…

Computer Vision and Pattern Recognition · Computer Science 2016-02-19 Adriana Gonzalez , Hong Jiang , Gang Huang , Laurent Jacques

Respiratory motion can cause strong blurring artifacts in the reconstructed image during MR acquisition. These artifacts become more prominent when use in the presence of undersampled data. Recently, compressed sensing (CS) is developed as…

Image and Video Processing · Electrical Eng. & Systems 2019-04-10 Abdul Haseeb Ahmed , Ijaz M. Qureshi , Jawad Ali Shah , Hammad Omer

X-ray computed tomographic infrastructures are medical imaging modalities that rely on the acquisition of rays crossing examined objects while measuring their intensity decrease. Physical measurements are post-processed by mathematical…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Attila Juhos

Magnetic Resonance Imaging (MRI) is a crucial medical imaging technology for the screening and diagnosis of frequently occurring cancers. However image quality may suffer by long acquisition times for MRIs due to patient motion, as well as…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Edward Li , Farzad Khalvati , Mohammad Javad Shafiee , Masoom A. Haider , Alexander Wong

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

Machine Learning · Computer Science 2025-09-16 Shane Stevenson , Maryam Sabagh

Distributed compressed sensing is concerned with representing an ensemble of jointly sparse signals using as few linear measurements as possible. Two novel joint reconstruction algorithms for distributed compressed sensing are presented in…

Information Theory · Computer Science 2014-05-22 Diego Valsesia , Giulio Coluccia , Enrico Magli

Conventional MRI reconstruction methods treat images and coil sensitivities as discrete objects, leading to high memory demands and limited structural awareness that hamper effective regularization. These limitations hinder accurate…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Ray Sheombarsing , Max van Riel , David Heesterbeek , Nico van den Berg , Alessandro Sbrizzi

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

Information Theory · Computer Science 2016-11-24 Kezhi Li , Shuang Cong

Is it possible to detect a feature in an image without ever looking at it? Images are known to have sparser representation in Wavelets and other similar transforms. Compressed Sensing is a technique which proposes simultaneous acquisition…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Suyash Shandilya

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

Information Theory · Computer Science 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

Information Theory · Computer Science 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

Compressed sensing (CS) computed tomography has been proven to be important for several clinical applications, such as sparse-view computed tomography (CT), digital tomosynthesis and interior tomography. Traditional compressed sensing…

Medical Physics · Physics 2020-12-15 Yi Zhang , Hu Chen , Wenjun Xia , Yang Chen , Baodong Liu , Yan Liu , Huaiqiang Sun , Jiliu Zhou

Accelerated Magnetic Resonance Imaging (MRI) permits high quality images from fewer samples that can be collected with a faster scan. Two established methods for accelerating MRI include parallel imaging and compressed sensing. Two types of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Nicholas Dwork , Alex McManus , Stephen Becker , Gennifer T. Smith

Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is, columns from the sensing matrix are highly uncorrelated. However, sensing systems with naturally occurring correlations arise in many applications,…

Information Theory · Computer Science 2017-08-29 Tobias Birnbaum , Yonina C. Eldar , Deanna Needell

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

When a measurement falls outside the quantization or measurable range, it becomes saturated and cannot be used in classical reconstruction methods. For example, in C-arm angiography systems, which provide projection radiography,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-04 Xiaolin Huang , Yan Xia , Lei Shi , Yixing Huang , Ming Yan , Joachim Hornegger , Andreas Maier