Compressive sensing is considered a huge breakthrough in signal acquisition. It allows recording an image consisting of N-2 pixels using much fewer than N-2 measurements if it can be transformed to a basis where most pixels take on negligibly small values. Standard compressive sensing techniques suffer from the computational overhead needed to reconstruct an image with typical computation times between hours and days and are thus not optimal for applications in physics and spectroscopy. We demonstrate an adaptive compressive sampling technique that performs measurements directly in a sparse basis. It needs much fewer than N-2 measurements without any computational overhead, so the result is available instantly.
机构:
CNRS, UMR Gulliver 7083, F-75005 Paris, France
ESPCI ParisTech, UMR Gulliver 7083, F-75005 Paris, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Krzakala, F.
Mezard, M.
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机构:
Univ Paris 11, F-91405 Orsay, France
CNRS, LPTMS, UMR8626, F-91405 Orsay, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Mezard, M.
Sausset, F.
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机构:
Univ Paris 11, F-91405 Orsay, France
CNRS, LPTMS, UMR8626, F-91405 Orsay, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Sausset, F.
Sun, Y. F.
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机构:
CNRS, UMR Gulliver 7083, F-75005 Paris, France
ESPCI ParisTech, UMR Gulliver 7083, F-75005 Paris, France
Beihang Univ, LMIB, Beijing 100191, Peoples R China
Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R ChinaCNRS, UMR Gulliver 7083, F-75005 Paris, France
Sun, Y. F.
Zdeborova, L.
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机构:
CEA Saclay, Inst Phys Theor IPhT, F-91191 Gif Sur Yvette, France
CNRS, URA 2306, F-91191 Gif Sur Yvette, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
机构:
CNRS, UMR Gulliver 7083, F-75005 Paris, France
ESPCI ParisTech, UMR Gulliver 7083, F-75005 Paris, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Krzakala, F.
Mezard, M.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris 11, F-91405 Orsay, France
CNRS, LPTMS, UMR8626, F-91405 Orsay, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Mezard, M.
Sausset, F.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris 11, F-91405 Orsay, France
CNRS, LPTMS, UMR8626, F-91405 Orsay, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France
Sausset, F.
Sun, Y. F.
论文数: 0引用数: 0
h-index: 0
机构:
CNRS, UMR Gulliver 7083, F-75005 Paris, France
ESPCI ParisTech, UMR Gulliver 7083, F-75005 Paris, France
Beihang Univ, LMIB, Beijing 100191, Peoples R China
Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R ChinaCNRS, UMR Gulliver 7083, F-75005 Paris, France
Sun, Y. F.
Zdeborova, L.
论文数: 0引用数: 0
h-index: 0
机构:
CEA Saclay, Inst Phys Theor IPhT, F-91191 Gif Sur Yvette, France
CNRS, URA 2306, F-91191 Gif Sur Yvette, FranceCNRS, UMR Gulliver 7083, F-75005 Paris, France