2011
DOI: 10.1117/12.893590
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Code aperture optimization for spectrally agile compressive imaging

Abstract: Coded aperture spectral imaging (CASSI) provides a mechanism to capture a 3D spectral cube with a single shot 2D measurement. This paper extends the concept of CASSI to a system admitting multiple shot measurements which leads not only to higher quality of reconstruction, but also to spectrally selective imaging when the sequence of code aperture patterns is optimized. The aperture code optimization problem is shown to be analogous to the optimization of a constrained, multichannel filter bank. The optimal cod… Show more

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Cited by 30 publications
(61 citation statements)
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“…For spectrally rich or spatially detailed images, a single-shot FPA measurement is not sufficient to achieve proper quality reconstructions, and additional shots are required. The CASSI architecture is capable of admitting multiple snapshots, each with a different coded aperture pattern, thus yielding a less ill-posed inverse problem and improved signal reconstructions [18]. The set of k << L FPA measurements is given by y = Hf + ω, where y = y 0…”
Section: Introductionmentioning
confidence: 99%
“…For spectrally rich or spatially detailed images, a single-shot FPA measurement is not sufficient to achieve proper quality reconstructions, and additional shots are required. The CASSI architecture is capable of admitting multiple snapshots, each with a different coded aperture pattern, thus yielding a less ill-posed inverse problem and improved signal reconstructions [18]. The set of k << L FPA measurements is given by y = Hf + ω, where y = y 0…”
Section: Introductionmentioning
confidence: 99%
“…In this modification, each shot uses a distinct coded aperture that remains fixed during the integration time of the detector. The quality of the reconstructed images improves in CASSI in proportion to the number of compressive measurements (Arguello and Arce, 2011). Each CASSI shot adds simultaneously N(N+L-1) compressive measurements.…”
Section: Introductionmentioning
confidence: 99%
“…Formally, suppose that a hyperspectral signal ∈ Թ ேൈெൈ , or its vector representation ∈ Թ ேெ , is ܵ-sparse on some basis શ, such that ൌ શી can be approximated by a linear combination of ܵ vectors of શ with ܵ ≪ ‫.ܮܯܰ‬ Here, ܰ ൈ ‫ܯ‬ represents the spatial dimensions, and ‫ܮ‬ is the spectral depth of the image cube. CSI allows to be recovered from ݉ random projections with high probability when ݉ ‫‪ሻ‬ܮܯܰ‪݃ሺ‬݈ܵ‬ ≪ ‫.ܮܯܰ‬ The Coded Aperture Snapshot Spectral Imaging (CASSI) system (Wagadarikar, John, Willett, and Brady, 2008;Arguello and Arce, 2011) is a remarkable imaging architecture that effectively implements CSI. Thus, CASSI senses the 3D spectral information of a scene by using 2D random projections, as depicted in Fig.…”
Section: Introduction 1234mentioning
confidence: 99%