ArticleJournal of the Optical Society of America. A, Optics, image science, and vision2016
Fisher information theory for parameter estimation in single molecule microscopy: tutorial.
Article in Journal of the Optical Society of America. A, Optics, image science, and vision, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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Who cites it
36 citing papers in PubMed.
- Fisher-information limits of detector-bandwidth-efficient 3D light-field microscopy.Research square · 2026Article
- Optimal excitation polarization schemes to boost the precision of single-molecule orientation imaging.Biomedical optics express · 2026Article
- Quantum-inspired super-resolution of fluorescent point-like sources.Nature communications · 2026Article
- Integrating the Contrasting Perspectives Between the Constrained Disorder Principle and Deterministic Optical Nanoscopy: Enhancing Information Extraction from Imaging of Complex Systems.Bioengineering (Basel, Switzerland) · 2026Article
- Optimizing the localization precision in coherent scattering microscopy using structured light.Nanophotonics (Berlin, Germany) · 2025Article
- 3D localization of retrovirus assembly in the presence of structured background with deep learning.Biophysical journal · 2025Article
- Single molecule orientation and localization microscopy.Nature photonics · 2025Article
- Beyond Spectral Resolution in Nanophotonic Sensing: Picometer-Level Precision with Multispectral Readout.ACS nano · 2025Article
- Localization of nanoscale objects with light singularities.Nanophotonics (Berlin, Germany) · 2025Article
- Resolving the Orientations of and Angular Separation Between a Pair of Dipole Emitters.Physical review letters · 2025Article
- Single-molecule orientation-localization microscopy: Applications and approaches.Quarterly reviews of biophysics · 2024Review
- Aberration-robust monocular passive depth sensing using a meta-imaging camera.Light, science & applications · 2024Article
- Measurement precision bounds on aberrated single-molecule emission patterns.Optics express · 2024Article
- Tracking the extensive three-dimensional motion of single ions by an engineered point-spread function.Nature communications · 2024Article
- 4D Single-particle tracking with asynchronous read-out single-photon avalanche diode array detector.Nature communications · 2024Article
- A statistical resolution measure of fluorescence microscopy with finite photons.Nature communications · 2024Article
- Super-Resolution-Chip: anBiomedical optics express · 2023Article
- Analysis and design of single-cell experiments to harvest fluctuation information while rejecting measurement noise.Frontiers in cell and developmental biology · 2023Article
- Synthetic Stochastic Motion Platform for Testing Single Particle Tracking Microscopes.IEEE transactions on control systems technology : a publication of the IEEE Control Systems Society · 2022Article
- Deep-SMOLM: deep learning resolves the 3D orientations and 2D positions of overlapping single molecules with optimal nanoscale resolution.Optics express · 2022Article
Corrections and comments
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3 authors.
Funding
Abstract
Estimation of a parameter of interest from image data represents a task that is commonly carried out in single molecule microscopy data analysis. The determination of the positional coordinates of a molecule from its image, for example, forms the basis of standard applications such as single molecule tracking and localization-based super-resolution image reconstruction. Assuming that the estimator used recovers, on average, the true value of the parameter, its accuracy, or standard deviation, is then at best equal to the square root of the Cramér-Rao lower bound. The Cramér-Rao lower bound can therefore be used as a benchmark in the evaluation of the accuracy of an estimator. Additionally, as its value can be computed and assessed for different experimental settings, it is useful as an experimental design tool. This tutorial demonstrates a mathematical framework that has been specifically developed to calculate the Cramér-Rao lower bound for estimation problems in single molecule microscopy and, more broadly, fluorescence microscopy. The material includes a presentation of the photon detection process that underlies all image data, various image data models that describe images acquired with different detector types, and Fisher information expressions that are necessary for the calculation of the lower bound. Throughout the tutorial, examples involving concrete estimation problems are used to illustrate the effects of various factors on the accuracy of parameter estimation and, more generally, to demonstrate the flexibility of the mathematical framework.
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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.