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This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications.
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E. Candès and D. L. Donoho · 2002
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M. Vetterli, P. Marziliano, and T. Blu · 2002
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E. J. Candès and D. Donoho · 2004
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Neighborliness of randomly-projected simplices in high dimensions
D. L. Donoho and J. Tanner · 2005
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
E. J. Candès, J. Romberg, and T. Tao · 2006
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Compressed sensing
D. L. Donoho · 2006
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Directional multiscale modeling of images using the contourlet transform
D. D.-Y. Po and M. N. Do · 2006
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Extensions of compressed sensing
Y. Tsaig and D. L. Donoho · 2006
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Sparsity and incoherence in compressive sampling
E. J. Candès and J. Romberg · 2007
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Sparse MRI: the application of compressed sensing for rapid MRI imaging
M. Lustig, D. L. Donoho, and J. M. Pauly · 2007
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An introduction to compressive sensing
E. J. Candès · 2008
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The uncertainty principle associated with the continuous shearlet transform
S. Dahlke, G. Kutyniok, P. Maass, C. Sagiv, H.-G. Stark, and G. Teschke · 2008
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On the approximation of spectra of linear operators on hilbert spaces
A. C. Hansen · 2008
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Sparse MRI
M. Lustig · 2008
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Compressed Sensing MRI
M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly · 2008
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Imaging via compressive sampling
J. Romberg · 2008
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On the conditioning of random subdictionaries
J. A. Tropp · 2008
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Shearlet coorbit spaces and associated Banach frames
Compressive fluorescence microscopy for biological and hyperspectral imaging
V. Studer, J. Bobin, M. Chahid, H. Moussavi, E. Candès, and M. Dahan · 2011
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A generalized sampling theorem for stable reconstructions in arbitrary bases
B. Adcock and A. C. Hansen · 2012
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Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon
B. Adcock and A. C. Hansen · 2012
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Communications-inspired projection design with application to compressive sensing
W. R. Carson, M. Chen, M. R. D. Rodrigues, R. Calderbank, and L. Carin · 2012
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Compressed Sensing: Theory and Applications
Y. C. Eldar and G. Kutyniok, editors · 2012
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Realistic analytical phantoms for parallel Magnetic Resonance Imaging
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S. Dahlke, G. Kutyniok, G. Steidl, and G. Teschke · 2009
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Counting faces of randomly-projected polytopes when the projection radically lowers dimension
D. L. Donoho and J. Tanner · 2009
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A Wavelet Tour of Signal Processing: The Sparse Way
S. G. Mallat · 2009
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Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method
T. Hrycak and K. Gröchenig · 2010
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Fast dynamic 3D MR spectroscopic imaging with compressed sensing and multiband excitation pulses for hyperpolarized 13c studies
P. E. Z. Larson, S. Hu, M. Lustig, A. B. Kerr, S. J. Nelson, J. Kurhanewicz, J. M. Pauly, and D. B. Vigneron · 2010
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Generalized sampling and infinite-dimensional compressed sensing
B. Adcock and A. C. Hansen · 2011
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M. Guerquin-Kern, L. Lejeune, K. P. Pruessmann, and M. Unser · 2012
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Compactly supported shearlets
G. Kutyniok, J. Lemvig, and W.-Q. Lim · 2012
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Spread spectrum Magnetic Resonance Imaging
G. Puy, J. P. Marques, R. Gruetter, J. Thiran, D. Van De Ville, P. Vandergheynst, and Y. Wiaux · 2012
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Measure what should be measured: progress and challenges in compressive sensing
T. Strohmer · 2012
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Generalized sampling: extension to frames and inverse and ill-posed problems
B. Adcock, A. C. Hansen, E. Herrholz, and G. Teschke · 2013
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Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem
B. Adcock, A. C. Hansen, and C. Poon · 2013
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An analysis of block sampling strategies in compressed sensing
J. Bigot, C. Boyer, and P. Weiss · 2013
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A Mathematical Introduction to Compressive Sensing
S. Foucart and H. Rauhut · 2013
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On the asymptotic incoherence of wavelets and polynomials with the fourier basis, and its implications for infinite-dimensional compressed sensing
A. D. Jones, B. Adcock, and A. C. Hansen · 2013
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A stable and consistent approach to generalized sampling
C. Poon · 2013
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Designed measurements for vector count data
L. Wang, D. Carlson, M. R. D. Rodrigues, D. Wilcox, R. Calderbank, and L. Carin · 2013
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On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate
B. Adcock, A. C. Hansen, and C. Poon · 2014
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Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum
B. Adcock, A. C. Hansen, B. Roman, and G. Teschke · 2014
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Stable and robust recovery from variable density frequency samples
F. Krahmer and R. Ward · 2014
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On asymptotic structure in compressed sensing
B. Roman, B. Adcock, and A. C. Hansen · 2014
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