ArticleProceedings of the National Academy of Sciences of the United States of America2012
Optimal 3D single-molecule localization for superresolution microscopy with aberrations and engineered point spread functions.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 52 papers.
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Who cites it
52 citing papers in PubMed, 134 citations in OpenAlex.
- Paired-objectives photon enhancement (POPE) microscopy: enhanced photon collection for fluorescence imaging.Communications engineering · 2025Article
- Joint estimation of point spread function and molecule positions in SMLM informed from multiple planes.Biomedical optics express · 2025Article
- Universal inverse modeling of point spread functions for SMLM localization and microscope characterization.Nature methods · 2024Article
- Large-FOV 3D localization microscopy by spatially variant point spread function generation.Science advances · 2024Article
- From Monomers to Hexamers: A Theoretical Probability of the Neighbor Density Approach to Dissect Protein Oligomerization in Cells.Analytical chemistry · 2024Article
- Universal inverse modelling of point spread functions for SMLM localization and microscope characterization.bioRxiv : the preprint server for biology · 2023Article
- MAxSIM: multi-angle-crossing structured illumination microscopy with height-controlled mirror for 3D topological mapping of live cells.Communications biology · 2023Article
- Realizing depth measurement and edge detection based on a single metasurface.Nanophotonics (Berlin, Germany) · 2023Article
- Wavefront engineered light needle microscopy for axially resolved rapid volumetric imaging.Biomedical optics express · 2022Article
- Lysosome-Targeted Biosensor for the Super-Resolution Imaging of Lysosome-Mitochondrion Interaction.Frontiers in pharmacology · 2022Article
- Recent progress on single-molecule localization microscopy.Biophysics reports · 2021Article
- Extended mechanical force measurements using structured illumination microscopy.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2021Article
- Addressing systematic errors in axial distance measurements in single-emitter localization microscopy.Optics express · 2020Article
- Three-Dimensional Single-Molecule Localization Microscopy in Whole-Cell and Tissue Specimens.Annual review of biomedical engineering · 2020Review
- Hybrid multifocal structured illumination microscopy with enhanced lateral resolution and axial localization capability.Biomedical optics express · 2020Article
- Accurate and rapid background estimation in single-molecule localization microscopy using the deep neural network BGnet.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Accurate phase retrieval of complex 3D point spread functions with deep residual neural networks.Applied physics letters · 2019Article
- A mechanistic examination of salting out in protein-polymer membrane interactions.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Article
- Wavelength-scale errors in optical localization due to spin-orbit coupling of light.Nature physics · 2019Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Photo-activation localization microscopy is a far-field superresolution imaging technique based on the localization of single molecules with subdiffraction limit precision. Known under acronyms such as PALM (photo-activated localization microscopy) or STORM (stochastic optical reconstruction microscopy), these techniques achieve superresolution by allowing only a sparse, random set of molecules to emit light at any given time and subsequently localizing each molecule with great precision. Recently, such techniques have been extended to three dimensions, opening up unprecedented possibilities to explore the structure and function of cells. Interestingly, proper engineering of the three-dimensional (3D) point spread function (PSF) through additional optics has been demonstrated to theoretically improve 3D position estimation and ultimately resolution. In this paper, an optimal 3D single-molecule localization estimator is presented in a general framework for noisy, aberrated and/or engineered PSF imaging. To find the position of each molecule, a phase-retrieval enabled maximum-likelihood estimator is implemented. This estimator is shown to be efficient, meaning it reaches the fundamental Cramer-Rao lower bound of x, y, and z localization precision. Experimental application of the phase-retrieval enabled maximum-likelihood estimator using a particular engineered PSF microscope demonstrates unmatched low-photon-count 3D wide-field single-molecule localization performance.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.