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This paper develops a mathematical theory of super-resolution.
Superresolution in microscopy and the Abbe resolution limit
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Conjugate Duality and Optimization
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Prolate spheroidal wave functions, Fourier analysis, and uncertainty. V - The discrete case
D. Slepian · 1978
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Reconstruction of a sparse spike train from a portion of its spectrum and application to high-resolution deconvolution
S. Levy and P. K. Fullagar · 1981
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Linear inversion of band-limited reflection seismograms
F. Santosa and W. W. Symes · 1986
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Real and complex analysis
W. Rudin · 1987
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Uncertainty principles and signal recovery
D. L. Donoho and P. B. Stark · 1989
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Superresolution via sparsity constraints
D. L. Donoho · 1992
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Numerical recipes in C (2nd ed.): the art of scientific computing
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery · 1992
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Super-resolution imaging spectroscopy
T. D. Harris, R. D. Grober, J. K. Trautman, and E. Betzig · 1994
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Two-dimensional superresolution radar imaging using the MUSIC algorithm
J. Odendaal, E. Barnard, and C. Pistorius · 1994
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Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions
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Exponentially accurate approximations to periodic Lipschitz functions based on Fourier series partial sums
N. S. Banerjee and J. F. Geer · 1998
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K. C. Toh, M. J. Todd, and R. H. Tütüncü · 1999
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Super-resolution image reconstruction: a technical overview
S. C. Park, M. K. Park, and M. G. Kang · 2003
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Convex Optimization
S. Boyd and L. Vandenberghe · 2004
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Diffraction imaging by focusing-defocusing: An outlook on seismic superresolution
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
E. J. Candès, J. K. Romberg, and T. Tao · 2006
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Super-resolution in PET imaging
J. Kennedy, O. Israel, A. Frenkel, R. Bar-Shalom, and H. Azhari · 2006
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Just relax: convex programming methods for identifying sparse signals in noise
J. A. Tropp · 2006
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Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets Strang-Fix
P. Dragotti, M. Vetterli, and T. Blu · 2007
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Positive Trigonometric Polynomials and Signal Processing Applications
B. Dumitrescu · 2007
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Estimating signals with finite rate of innovation from noisy samples: A stochastic algorithm
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A numerical exploration of compressed sampling recovery
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Super-resolution in medical imaging
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CVX: Matlab software for disciplined convex programming, version 1.21
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