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Journal ArticleDOI

Single disperser design for coded aperture snapshot spectral imaging

TLDR
A single disperser spectral imager is presented that exploits recent theoretical work in the area of compressed sensing to achieve snapshot spectral imaging and can be used to capture spatiospectral information of a scene that consists of two balls illuminated by different light sources.
Abstract
We present a single disperser spectral imager that exploits recent theoretical work in the area of compressed sensing to achieve snapshot spectral imaging. An experimental prototype is used to capture the spatiospectral information of a scene that consists of two balls illuminated by different light sources. An iterative algorithm is used to reconstruct the data cube. The average spectral resolution is 3.6 nm per spectral channel. The accuracy of the instrument is demonstrated by comparison of the spectra acquired with the proposed system with the spectra acquired by a nonimaging reference spectrometer.

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Citations
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Journal ArticleDOI

Structured Compressed Sensing: From Theory to Applications

TL;DR: The prime focus is bridging theory and practice, to pinpoint the potential of structured CS strategies to emerge from the math to the hardware in compressive sensing.
Journal ArticleDOI

Kronecker Compressive Sensing

TL;DR: The formulation of Kronecker product matrices enables the derivation of analytical bounds for the sparse approximation of multidimensional signals and CS recovery performance, as well as a means of evaluating novel distributed measurement schemes.
Journal ArticleDOI

Exploiting Structure in Wavelet-Based Bayesian Compressive Sensing

TL;DR: A hierarchical Bayesian model is constituted, with efficient inference via Markov chain Monte Carlo (MCMC) sampling, with performance comparisons to many state-of-the-art compressive-sensing inversion algorithms.
Journal ArticleDOI

Compressive Coded Aperture Spectral Imaging: An Introduction

TL;DR: The remarkable advantage of CASSI is that the entire data cube is sensed with just a few FPA measurements and, in some cases, with as little as a single FPA shot.

Compressive holography

TL;DR: This work demonstrates single frame 3D tomography from 2D holographic data using compressed sampling, which enables signal reconstruction using less than one measurement per reconstructed signal value.
References
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Journal ArticleDOI

Regression Shrinkage and Selection via the Lasso

TL;DR: A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

TL;DR: In this paper, the authors considered the model problem of reconstructing an object from incomplete frequency samples and showed that with probability at least 1-O(N/sup -M/), f can be reconstructed exactly as the solution to the lscr/sub 1/ minimization problem.
Journal ArticleDOI

Atomic Decomposition by Basis Pursuit

TL;DR: Basis Pursuit (BP) is a principle for decomposing a signal into an "optimal" superposition of dictionary elements, where optimal means having the smallest l1 norm of coefficients among all such decompositions.
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An Introduction To Compressive Sampling

TL;DR: The theory of compressive sampling, also known as compressed sensing or CS, is surveyed, a novel sensing/sampling paradigm that goes against the common wisdom in data acquisition.
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Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems

TL;DR: This paper proposes gradient projection algorithms for the bound-constrained quadratic programming (BCQP) formulation of these problems and test variants of this approach that select the line search parameters in different ways, including techniques based on the Barzilai-Borwein method.
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