2014
DOI: 10.1002/anie.201400535
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Less is More: How Compressed Sensing is Transforming Metrology in Chemistry

Abstract: Mathematics has had a profound impact on science, providing a means to understand the world around us in unprecedented ways. With the advent of the digital age, the subject of information theory has grown hugely in importance. In particular, over the last two decades significant advances in our understanding of sampling and function reconstruction have culminated in the development of an idea known as compressed sensing. What seems like an abstract idea is now having a profound impact throughout the scientific… Show more

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Cited by 32 publications
(26 citation statements)
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“…Extensive efforts have been devoted in the spatial localization, [155,156] long-/short-range ordering, [130,157] defect identification, [108,158] and precise compositional differentiation. Even though extensive efforts have been devoted in the advanced reconstruction methods including discrete tomography [39] and compressed sensing, [41] simple, easy-accessible, and user-friendly technical strategies are greatly favored for material scientists. Moreover, the quantified information in current literature reports is mostly derived from direct measurement of 2D tomograms (e.g., size and distance).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Extensive efforts have been devoted in the spatial localization, [155,156] long-/short-range ordering, [130,157] defect identification, [108,158] and precise compositional differentiation. Even though extensive efforts have been devoted in the advanced reconstruction methods including discrete tomography [39] and compressed sensing, [41] simple, easy-accessible, and user-friendly technical strategies are greatly favored for material scientists. Moreover, the quantified information in current literature reports is mostly derived from direct measurement of 2D tomograms (e.g., size and distance).…”
Section: Discussionmentioning
confidence: 99%
“…[35,36] Until early this century, this technique was employed to explore delicate features of nanomaterials, pioneered by de Jong and co-workers and Midgley and co-workers. [20,23] The great advances of this technique have been well summarized with a main focus on the technological aspect (e.g., discrete tomography, [39,40] compressed sensing, [41,42] cryogenic analysis, [43,44] and analytical detections [25,26] ) or specific materials categories (including catalysts, [45] particle assemblies, [46] and ordered porous nanomaterials [47] ). [20,23] The great advances of this technique have been well summarized with a main focus on the technological aspect (e.g., discrete tomography, [39,40] compressed sensing, [41,42] cryogenic analysis, [43,44] and analytical detections [25,26] ) or specific materials categories (including catalysts, [45] particle assemblies, [46] and ordered porous nanomaterials [47] ).…”
Section: Introductionmentioning
confidence: 99%
“…The growing interest in CS can be attributed to its successful broad applicability in several areas of research and engineering such as imaging using a single-pixel detector, 37,38 nuclear-magnetic resonance imaging, 39 NMR spectroscopy, 40,41 and more. 42 In general, CS can be used to recover certain signals with a significantly reduced number of sampling points. A necessary condition for the successful reconstruction of undersampled data is the existence of a transform domain in which the signal has a sparse representation, i.e., in which only a small percentage of basis coefficients is non-zero.…”
Section: Introductionmentioning
confidence: 99%
“…By implementing additional compressed sensing / sparse sampling algorithms, the size of the files containing the collected data can be made significantly smaller, to enable use of networks with low speeds. This capability is required in the developing world 30,31 .…”
Section: Recording and Analysis Of Respiratory Signalsmentioning
confidence: 99%