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For more than a century and a half it has been widely-believed (but was never rigorously shown) that the physics of diffraction imposes certain fundamental limits on the resolution of an optical system.
An introduction to the theory of optics
Arthur Schuster · 1904
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On spectroscopic resolving power
Carroll Mason Sparrow · 1916
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A compound interferometer for fine structure work
William V Houston · 1927
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Xxxviii. a suggested method for extending microscopic resolution into the ultra-microscopic region
EdwardH Synge · 1928
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Über fortschritte im bau und in der leistung des magnetischen elektronenmikroskops
Ernst Ruska · 1934
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Xli. note on optical resolution
A Buxton · 1937
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Fundamentals of optics
Francis A Jenkins and Harvey E White · 1937
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Criteria and the intensity-epoch slope
BP Ramsay, EL Cleveland, and OT Koppius · 1941
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Applications of interferometry
W Ewart Williams · 1950
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Super-gain antennas and optical resolving power
G Toraldo Di Francia · 1952
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Resolving power and information
G Toraldo Di Francia · 1955
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Fluctuations of photon beams: the distribution of the photo-electrons
Leonard Mandel · 1959
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Microscopy apparatus us patent 3013467
M Minsky · 1961
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Resolving power of calculated and detected images
Vasco Ronchi · 1961
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Resolving power and decision theory
James L Harris · 1964
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The detection and resolution of optical signals
C Helstrom · 1964
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Information content of photoelectric star images
Edward J Farrell · 1966
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Limits to which double lines, double stars, and disks can be resolved and measured
Oscar Falconi · 1967
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Detection and resolution of incoherent objects by a background-limited optical system
Carl W Helstrom · 1969
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Iv image formation with partially coherent light
Brian J Thompson · 1969
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Resolvability of objects from the standpoint of statistical parameter estimation
Carl W Helstrom · 1970
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Super-resolution aperture scanning microscope
EA Ash and G Nicholls · 1972
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Performance limitations on parameter estimation of closely spaced optical targets using shot-noise detector model
Ming-Jer Tsai and Keh-Ping Dunn · 1979
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Cell-substrate contacts illuminated by total internal reflection fluorescence
Daniel Axelrod · 1981
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Total internal reflection microscopy: a surface inspection technique
Paul A Temple · 1981
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Optical stethoscopy: Image recording with resolution λ \lambda /20
Dieter W Pohl, Winfried Denk, and Mark Lanz · 1984
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Some extremal functions in fourier analysis
Jeffrey D Vaaler · 1985
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Uncertainty principles and signal recovery
David L Donoho and Philip B Stark · 1989
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Introduction to Modern Optics
Grant R Fowles · 1989
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Superresolution via sparsity constraints
David L Donoho · 1992
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Properties of a 4pi confocal fluorescence microscope
Stefan Hell and Ernst HK Stelzer · 1992
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Resolution limits for deconvolved images
Leon B Lucy · 1992
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Statistical limits to super resolution
Leon B Lucy · 1992
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Confocal microscopy with an increased detection aperture: type-b 4pi confocal microscopy
Stefan W Hell, Ernst HK Stelzer, Steffen Lindek, and Christoph Cremer · 1994
Earlier work this paper cites.
Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy
Stefan W Hell and Jan Wichmann · 1994
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Ground-state-depletion fluorscence microscopy: A concept for breaking the diffraction resolution limit
Stefan W Hell and Matthias Kroug · 1995
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Soft x-ray microscopes and their biological applications
Janos Kirz, Chris Jacobsen, and Malcolm Howells · 1995
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Model-based optical resolution
Arnold J Den Dekker · 1996
Earlier work this paper cites.
The beurling-selberg extremal functions for a ball in euclidean space
Jeffrey J Holt, Jeffrey D Vaaler, et al · 1996
Earlier work this paper cites.
A statistical approach to the resolution of point sources
Carmen O Acuna and Joseph Horowitz · 1997
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Single-molecule identification of coumarin-120 by time-resolved fluorescence detection: Comparison of one-and two-photon excitation in solution
LCEO Brand, C Eggeling, C Zander, KH Drexhage, and CAM Seidel · 1997
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Resolution: a survey
Arnold Jan Den Dekker and A Van den Bos · 1997
Cited alongside, same era.
Efficient noise-tolerant learning from statistical queries
Michael Kearns · 1998
Cited alongside, same era.
Model-based two-object resolution from observations having counting statistics
E Bettens, D Van Dyck, AJ Den Dekker, J Sijbers, and A Van den Bos · 1999
Cited alongside, same era.
Learning mixtures of gaussians
Sanjoy Dasgupta · 1999
Cited alongside, same era.
Extended resolution fluorescence microscopy
Mats GL Gustafsson · 1999
Cited alongside, same era.
Subdiffraction resolution in far-field fluorescence microscopy
Thomas A Klar and Stefan W Hell · 1999
Cited alongside, same era.
Nearly optimal sparse fourier transform
Haitham Hassanieh, Piotr Indyk, Dina Katabi, and Eric Price · 2012
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Finding, defining and breaking the diffraction barrier in microscopy–a historical perspective
Marcel A Lauterbach · 2012
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Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light
Max Born and Emil Wolf · 2013
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Super-resolution from noisy data
Emmanuel J Candès and Carlos Fernandez-Granda · 2013
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Support detection in super-resolution
Carlos Fernandez-Granda · 2013
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Learning mixtures of spherical gaussians: moment methods and spectral decompositions
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S. Dasgupta and L. Schulman · 2000
Cited alongside, same era.
Bessel functions: monotonicity and bounds
LJ Landau · 2000
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Learning mixtures of arbitrary Gaussians
S. Arora and R. Kannan · 2001
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Resolution in model-based measurement
Adriaan Van Den Bos · 2001
Cited alongside, same era.
Resolution reconsidered—conventional approaches and an alternative
A Van den Bos and AJ Den Dekker · 2001
Cited alongside, same era.
Near-optimal sparse fourier representations via sampling
Anna C Gilbert, Sudipto Guha, Piotr Indyk, Shanmugavelayutham Muthukrishnan, and Martin Strauss · 2002
Cited alongside, same era.
Daniel Hsu and Sham M Kakade · 2013
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Compressed sensing off the grid
Gongguo Tang, Badri Narayan Bhaskar, Parikshit Shah, and Benjamin Recht · 2013
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Towards a mathematical theory of super-resolution
Emmanuel J Candès and Carlos Fernandez-Granda · 2014
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Precisely and accurately localizing single emitters in fluorescence microscopy
Hendrik Deschout, Francesca Cella Zanacchi, Michael Mlodzianoski, Alberto Diaspro, Joerg Bewersdorf, Samuel T Hess, and Kevin Braeckmans · 2014
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Recent developments in the sparse fourier transform: A compressed fourier transform for big data
Anna C Gilbert, Piotr Indyk, Mark Iwen, and Ludwig Schmidt · 2014
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(nearly) sample-optimal sparse fourier transform
Piotr Indyk, Michael Kapralov, and Eric Price · 2014
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Fluorophore localization algorithms for super-resolution microscopy
Alex Small and Shane Stahlheber · 2014
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Polynomial learning of distribution families
Mikhail Belkin and Kaushik Sinha · 2015
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Assessing resolution in super-resolution imaging
Justin Demmerle, Eva Wegel, Lothar Schermelleh, and Ian M Dobbie · 2015
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Learning mixtures of gaussians in high dimensions
Rong Ge, Qingqing Huang, and Sham M Kakade · 2015
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Statistical optics
Joseph W Goodman · 2015
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Super-resolution off the grid
Qingqing Huang and Sham M Kakade · 2015
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Tight bounds for learning a mixture of two gaussians
Moritz Hardt and Eric Price · 2015
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Music for multidimensional spectral estimation: stability and super-resolution
Wenjing Liao · 2015
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Super-resolution, extremal functions and the condition number of vandermonde matrices
Ankur Moitra · 2015
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Light microscopy: an ongoing contemporary revolution
Siegfried Weisenburger and Vahid Sandoghdar · 2015
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Fisher information theory for parameter estimation in single molecule microscopy: tutorial
Jerry Chao, E Sally Ward, and Raimund J Ober · 2016
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Super-resolution of point sources via convex programming
Carlos Fernandez-Granda · 2016
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Standardizing the resolution claims for coherent microscopy
Roarke Horstmeyer, Rainer Heintzmann, Gabriel Popescu, Laura Waller, and Changhuei Yang · 2016
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Sparse fourier transform in any constant dimension with nearly-optimal sample complexity in sublinear time
Michael Kapralov · 2016
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A multivariate generalization of prony’s method
Stefan Kunis, Thomas Peter, Tim Römer, and Ulrich von der Ohe · 2016
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Super-resolution of positive sources: The discrete setup
Veniamin I Morgenshtern and Emmanuel J Candes · 2016
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Hilbert spaces and the pair correlation of zeros of the riemann zeta-function
Emanuel Carneiro, Vorrapan Chandee, Friedrich Littmann, and Micah B Milinovich · 2017
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Statistical query lower bounds for robust estimation of high-dimensional gaussians and gaussian mixtures
Ilias Diakonikolas, Daniel M Kane, and Alistair Stewart · 2017
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Outlier-robust moment-estimation via sum-of-squares
Pravesh K Kothari and David Steurer · 2017
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Upholding the diffraction limit in the focusing of light and sound
AA Maznev and OB Wright · 2017
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On learning mixtures of well-separated gaussians
Oded Regev and Aravindan Vijayaraghavan · 2017
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Resolution and super-resolution
Colin JR Sheppard · 2017
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Three-dimensional localization of single molecules for super-resolution imaging and single-particle tracking
Alex von Diezmann, Yoav Shechtman, and WE Moerner · 2017
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List-decodable robust mean estimation and learning mixtures of spherical gaussians
Ilias Diakonikolas, Daniel M Kane, and Alistair Stewart · 2018
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A note on band-limited minorants of an euclidean ball
Felipe Gonçalves · 2018
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Mixture models, robustness, and sum of squares proofs
Samuel B Hopkins and Jerry Li · 2018
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Conservative classical and quantum resolution limits for incoherent imaging
Mankei Tsang · 2018
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Resolving starlight: a quantum perspective
Mankei Tsang · 2019
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A robust multi-dimensional sparse fourier transform in the continuous setting
Yaonan Jin, Daogao Liu, and Zhao Song · 2020
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