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In this paper we study the compressive sensing effects on 2D signals exhibiting sparsity in 2D DFT domain. A simple algorithm for reconstruction of randomly under-sampled data is proposed. It is based on the analytically determined…

信息论 · 计算机科学 2015-11-17 Srdjan Stankovic , Irena Orovic

In recent years, Compressed Sensing (CS) has gained significant interest as a technique for acquiring high-resolution sensory data using fewer measurements than traditional Nyquist sampling requires. At the same time, autonomous robotic…

机器人学 · 计算机科学 2025-07-25 Alghalya Al-Hajri , Ejmen Al-Ubejdij , Aiman Erbad , Ali Safa

Advances in computational science offer a principled pipeline for predictive modeling of cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and surgical planning. Such models can be nowadays deployed on…

机器学习 · 计算机科学 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

信息论 · 计算机科学 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

机器学习 · 统计学 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli

Compressed sensing theory indicates that selecting a few measurements independently at random is a near optimal strategy to sense sparse or compressible signals. This is infeasible in practice for many acquisition devices that acquire…

统计理论 · 数学 2013-03-14 Nicolas Chauffert , Philippe Ciuiu , Jonas Kahn , Pierre Weiss

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

Compressed sensing magnetic resonance imaging (CS-MRI) heavily relies on the low mutual coherence between the measurement matrix and the sparsity basis. However, under highly accelerated Cartesian undersampling, the severe structural…

信号处理 · 电气工程与系统科学 2026-05-05 Siyuan Feng

Deep learning techniques have gained considerable attention for their ability to accelerate MRI data acquisition while maintaining scan quality. In this work, we present a convolutional neural network (CNN) based framework for learning…

图像与视频处理 · 电气工程与系统科学 2025-09-23 Aryan Dhar , Siddhant Gautam , Saiprasad Ravishankar

Magnetic Resonance Imaging (MRI) is a powerful, non-invasive diagnostic tool; however, its clinical applicability is constrained by prolonged acquisition times. Whilst present deep learning-based approaches have demonstrated potential in…

图像与视频处理 · 电气工程与系统科学 2024-09-24 Anurag Malyala , Zhenlin Zhang , Chengyan Wang , Chen Qin

Performing k-space variable density sampling is a popular way of reducing scanning time in Magnetic Resonance Imaging (MRI). Unfortunately, given a sampling trajectory, it is not clear how to traverse it using gradient waveforms. In this…

最优化与控制 · 数学 2015-02-25 Nicolas Chauffert , Pierre Weiss , Marianne Boucher , Sébastien Mériaux , Philippe CIUCIU

A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices that employ sequential scanning is their long acquisition time. In previous work, we demonstrated how to use compressed sensing techniques to improve…

数值分析 · 数学 2020-09-07 Felix Lucka , Nam Huynh , Marta Betcke , Edward Zhang , Paul Beard , Ben Cox , Simon Arridge

Established image recovery methods in fast ultrasound imaging, e.g. delay-and-sum, trade the image quality for the high frame rate. Cutting-edge inverse scattering methods based on compressed sensing (CS) disrupt this tradeoff via a priori…

医学物理 · 物理学 2019-03-15 Martin F. Schiffner

Sonography techniques use multiple transducer elements for tissue visualization. Signals detected at each element are sampled prior to digital beamforming. The sampling rates required to perform high resolution digital beamforming are…

信息论 · 计算机科学 2013-07-25 Tanya Chernyakova , Yonina C. Eldar

Accelerated MRI involves collecting partial $k$-space measurements to reduce acquisition time, patient discomfort, and motion artifacts, and typically uses regular undersampling patterns or human-designed schemes. Recent works have studied…

图像与视频处理 · 电气工程与系统科学 2026-05-20 Siddhant Gautam , Angqi Li , Nicole Seiberlich , Jeffrey A. Fessler , Saiprasad Ravishankar

Recent advances in 3D Gaussian Splatting (3DGS) have demonstrated remarkable capabilities in real-time and photorealistic novel view synthesis. However, traditional 3DGS representations often struggle with large-scale scene management and…

图形学 · 计算机科学 2025-08-08 Zijian Wang , Beizhen Zhao , Hao Wang

In this work, we present an efficient rank-compression approach for the classical simulation of Kraus decoherence channels in noisy quantum circuits. The approximation is achieved through iterative compression of the density matrix based on…

量子物理 · 物理学 2020-09-16 Yi-Ting Chen , Collin Farquhar , Robert M. Parrish

Dynamic Magnetic Resonance Imaging (MRI) is known to be a powerful and reliable technique for the dynamic imaging of internal organs and tissues, making it a leading diagnostic tool. A major difficulty in using MRI in this setting is the…

图像与视频处理 · 电气工程与系统科学 2023-03-24 Tamir Shor , Tomer Weiss , Dor Noti , Alex Bronstein

In this article, we address the problem of reducing the number of required samples for Spherical Near-Field Antenna Measurements (SNF) by using Compressed Sensing (CS). A condition to ensure the numerical performance of sparse recovery…

信息论 · 计算机科学 2023-02-10 Arya Bangun , Cosme Culotta-López

Image-based anomaly detection systems are of vital importance in various manufacturing applications. The resolution and acquisition rate of such systems is increasing significantly in recent years under the fast development of image sensing…

图像与视频处理 · 电气工程与系统科学 2022-07-19 Shancong Mou , Jianjun Shi