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Accurate, robust and fast image reconstruction is a critical task in many scientific, industrial and medical applications. Over the last decade, image reconstruction has been revolutionized by the rise of compressive imaging. It has fundamentally changed the way modern image reconstruction is performed. This in-depth treatment of the subject commences with a practical introduction to compressive imaging, supplemented with examples and downloadable code, intended for readers without extensive background in the subject. Next, it introduces core topics in compressive imaging - including compressed sensing, wavelets and optimization - in a concise yet rigorous way, before providing a detailed treatment of the mathematics of compressive imaging. The final part is devoted to recent trends in compressive imaging: deep learning and neural networks. With an eye to the next decade of imaging research, and using both empirical and mathematical insights, it examines the potential benefits and the pitfalls of these latest approaches.

Image compression. --- Digital images --- Deconvolution.

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Shear waves --- Seismic prospecting --- Ondes de cisaillement. --- Prospection sismique. --- Vertical seismic profiling --- Profil sismique vertical. --- Seismic reflection method --- Méthode sismique-réflexion --- Deconvolution. --- Déconvolution. --- Deconvolution --- Seismology --- Sismologie --- Seismic prospecting. --- Prospection sismique --- Mathematics. --- Mathématiques

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Deconvolution of Geophysical Time Series in the Exploration for Oil and Natural Gas

Seismic reflection method --- Petroleum --- Time-series analysis --- Natural gas --- Deconvolution --- Time-series analysis. --- Petroleum. --- Natural gas. --- Gas, Natural --- Sour gas --- Gases, Asphyxiating and poisonous --- Hydrocarbons --- Coal-oil --- Crude oil --- Oil --- Caustobioliths --- Mineral oils --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Mathematical statistics --- Probabilities --- Deconvolution in seismic reflection --- Deconvolution. --- Data processing --- Pétrole --- Gaz naturel --- Prospection. --- Prospecting --- Géologie. --- Geology --- Prospection --- Géologie --- Seismic reflection method - Deconvolution

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Seismic prospecting --- Seismic reflection method --- Data processing. --- Deconvolution. --- Gulf of Mexico.

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Elastic waves. --- Ondes élastiques. --- Soleil --- Convection (astrophysique) --- Microscopie electronique --- Deconvolution --- Activite --- Technique