The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Optimal Point Spread Function Design for 3D Imaging
Open accessAbstract
To extract from an image of a single nanoscale object maximum physical information about its position, we propose and demonstrate a framework for pupil-plane modulation for 3D imaging applications requiring precise localization, including single-particle tracking and superresolution microscopy. The method is based on maximizing the information content of the system, by formulating and solving the appropriate optimization problem--finding the pupil-plane phase pattern that would yield a point spread function (PSF) with optimal Fisher information properties. We use our method to generate and experimentally demonstrate two example PSFs: one optimized for 3D localization precision over a 3 μm depth of field, and another with an unprecedented 5 μm depth of field, both designed to perform under physically common conditions of high background signals.
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Cites
Principles of Optics: 60th Anniversary Edition
Born, M., & Wolf, E. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,251
Imaging Intracellular Fluorescent Proteins at Nanometer Resolution
Betzig, E., Patterson, G. H., Sougrat, R., Lindwasser, O. W., Olenych, S., Bonifacino, J. S., Davidson, M. W., Lippincott-Schwartz, J., & Hess, H. F. (2006) · Science · doi:10.1126/science.1127344 · Cited by 8,772
Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM)
Rust, M. J., Bates, M., & Zhuang, X. (2006) · Nature Methods · doi:10.1038/nmeth929 · Cited by 8,078
Introduction to Fourier Optics
Sutton, P. (1996) · Quantum and Semiclassical Optics: Journal of the European Optical Society Part B · doi:10.1088/1355-5111/8/5/014 · Cited by 4,934
Ultra-High Resolution Imaging by Fluorescence Photoactivation Localization Microscopy
Hess, S. T., Girirajan, T. P. K., & Mason, M. D. (2006) · Biophysical Journal · doi:10.1529/biophysj.106.091116 · Cited by 3,605
Three-Dimensional Super-Resolution Imaging by Stochastic Optical Reconstruction Microscopy
Huang, B., Wang, W., Bates, M., & Zhuang, X. (2008) · Science · doi:10.1126/science.1153529 · Cited by 2,796
Precise Nanometer Localization Analysis for Individual Fluorescent Probes
Thompson, R. E., Larson, D. R., & Webb, W. W. (2002) · Biophysical Journal · doi:10.1016/s0006-3495(02)75618-x · Cited by 2,320
Reconstruction of an object from the modulus of its Fourier transform
Fienup, J. R. (1978) · Optics Letters · doi:10.1364/ol.3.000027 · Cited by 1,836
Pavani, S. R. P., Thompson, M. A., Biteen, J. S., Lord, S. J., Liu, N., Twieg, R. J., Piestun, R., & Moerner, W. E. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0900245106 · Cited by 1,040
Self-citationFundamentals of Statistical Signal Processing: Estimation Theory
Sengupta, S. K., & Kay, S. M. (1995) · Technometrics · doi:10.2307/1269750 · Cited by 901
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Fluorescence nanoscopy in cell biology
Sahl, S. J., Hell, S. W., & Jakobs, S. (2017) · Nature Reviews Molecular Cell Biology · doi:10.1038/nrm.2017.71 · Cited by 990
Self-citationSitzmann, V., Diamond, S., Peng, Y., Dun, X., Boyd, S., Heidrich, W., Heide, F., & Wetzstein, G. (2018) · ACM Transactions on Graphics · doi:10.1145/3197517.3201333 · Cited by 478
Single-molecule spectroscopy and imaging over the decades
Moerner, W. E., Shechtman, Y., & Wang, Q. (2015) · Faraday Discussions · doi:10.1039/c5fd00149h · Cited by 103
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Metadata
- Authors
- Shechtman, Y., Sahl, S. J., Backer, A. S., & Moerner, W. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-09-26
- Volume
- 113
- Issue
- 13
- Pages
- 133902-133902
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2330285287
- Cited by
- 384
- References
- 33
- FWCI
- 9.69
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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