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Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

Recent development in compressed sensing (CS) has revealed that the use of a special design of measurement matrix, namely the spatially-coupled matrix, can achieve the information-theoretic limit of CS. In this paper, we consider the…

信息论 · 计算机科学 2014-02-14 Chao-Kai Wen , Kai-Kit Wong

This paper is concerned with function reconstruction from samples. The sampling points used in several approaches are (1) structured points connected with fast algorithms or (2) unstructured points coming from, e.g., an initial random draw…

数值分析 · 数学 2023-06-07 Felix Bartel , Lutz Kämmerer , Daniel Potts , Tino Ullrich

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

图像与视频处理 · 电气工程与系统科学 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello

We study the problem of estimating the best B term Fourier representation for a given frequency-sparse signal (i.e., vector) $\textbf{A}$ of length $N \gg B$. More explicitly, we investigate how to deterministically identify B of the…

离散数学 · 计算机科学 2007-08-10 M. A. Iwen

Compressed sensing fluorescence microscopy (CS-FM) proposes a scheme whereby less measurements are collected during sensing and reconstruction is performed to recover the image. Much work has gone into optimizing the sensing and…

图像与视频处理 · 电气工程与系统科学 2021-07-13 Alan Q. Wang , Aaron K. LaViolette , Leo Moon , Chris Xu , Mert R. Sabuncu

Ultra low radiation dose in X-ray Computed Tomography (CT) is an important clinical objective in order to minimize the risk of carcinogenesis. Compressed Sensing (CS) enables significant reductions in radiation dose to be achieved by…

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

信息论 · 计算机科学 2015-06-05 Justin Ziniel , Philip Schniter

We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N…

光学 · 物理学 2010-06-15 Ori Katz , Jonathan M. Levitt , Yaron Silberberg

Compressed Sensing refers to extracting a low-dimensional structured signal of interest from its incomplete random linear observations. A line of recent work has studied that, with the extra prior information about the signal, one can…

信息论 · 计算机科学 2017-04-19 Sajad Daei , Farzan Haddadi

Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval…

计算机视觉与模式识别 · 计算机科学 2016-07-19 Liheng Bian , Jinli Suo , Jaebum Chung , Xiaoze Ou , Changhuei Yang , Feng Chen , Qionghai Dai

Existing deep compressive sensing (CS) methods either ignore adaptive online optimization or depend on costly iterative optimizer during reconstruction. This work explores a novel image CS framework with recurrent-residual structural…

图像与视频处理 · 电气工程与系统科学 2022-07-18 Jun Niu

Recent years have witnessed the success of deep networks in compressed sensing (CS), which allows for a significant reduction in sampling cost and has gained growing attention since its inception. In this paper, we propose a new practical…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Bin Chen , Jian Zhang

This paper considers the problem of optimum reconstruction in generalized sampling-reconstruction processes (GSRPs). We propose constrained GSRP, a novel framework that minimizes the reconstruction error for inputs in a subspace, subject to…

信号处理 · 电气工程与系统科学 2019-10-23 Bashir Sadeghi , Runyi Yu , Vishnu Naresh Boddeti

In this paper we develop a novel computational sensing framework for sensing and recovering structured signals. When trained on a set of representative signals, our framework learns to take undersampled measurements and recover signals from…

机器学习 · 统计学 2017-07-12 Ali Mousavi , Gautam Dasarathy , Richard G. Baraniuk

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

泛函分析 · 数学 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

Single-pixel cameras based on the concepts of compressed sensing (CS) leverage the inherent structure of images to retrieve them with far fewer measurements and operate efficiently over a significantly broader spectral range than…

计算机视觉与模式识别 · 计算机科学 2016-06-17 Qiang Guo , Hongwei Chen , Yuxi Wang , Yong Guo , Peng Liu , Xiurui Zhu , Zheng Cheng , Zhenming Yu , Minghua Chen , Sigang Yang , Shizhong Xie

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

信息论 · 计算机科学 2008-05-06 Thomas Blumensath , Mike E. Davies

Existing image compressed sensing (CS) coding frameworks usually solve an inverse problem based on measurement coding and optimization-based image reconstruction, which still exist the following two challenges: 1) The widely used random…

图像与视频处理 · 电气工程与系统科学 2024-03-01 Wenxue Cui , Xingtao Wang , Xiaopeng Fan , Shaohui Liu , Xinwei Gao , Debin Zhao

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…

图像与视频处理 · 电气工程与系统科学 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar