ArticleIEEE transactions on signal processing : a publication of the IEEE Signal Processing Society2011
Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy.
Article in IEEE transactions on signal processing : a publication of the IEEE Signal Processing Society, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Article
- Effect of Pixelation on the Parameter Estimation of Single Molecule Trajectories.IEEE transactions on computational imaging · 2021Article
- Fundamental Limits on Measuring the Rotational Constraint of Single Molecules Using Fluorescence Microscopy.Physical review letters · 2019Article
- Cramér-Rao Lower Bound for Point Based Image Registration With Heteroscedastic Error Model for Application in Single Molecule Microscopy.IEEE transactions on medical imaging · 2015Article
- Limit of the Accuracy of Parameter Estimation for Two Molecules Moving in Close Proximity.IEEE International Symposium on Circuits and Systems proceedings. IEEE International Symposium on Circuits and Systems · 2015Article
- Quantitative Aspects of Single Molecule Microscopy.IEEE signal processing magazine · 2015Article
- Effect of time discretization of the imaging process on the accuracy of trajectory estimation in fluorescence microscopy.Optics express · 2014Article
- A simple method to estimate the average localization precision of a single-molecule localization microscopy experiment.Histochemistry and cell biology · 2014Article
- Precisely and accurately localizing single emitters in fluorescence microscopy.Nature methods · 2014Review
- Analysis of Point Based Image Registration Errors With Applications in Single Molecule Microscopy.IEEE transactions on signal processing : a publication of the IEEE Signal Processing Society · 2013Article
- A stochastic analysis of distance estimation approaches in single molecule microscopy - quantifying the resolution limits of photon-limited imaging systems.Multidimensional systems and signal processing · 2013Article
- Influence of Prior Knowledge on the Accuracy Limit of Parameter Estimation in Single-Molecule Fluorescence Microscopy.IEEE International Symposium on Circuits and Systems proceedings. IEEE International Symposium on Circuits and Systems · 2013Article
- 3D single molecule tracking and superresolution microscopy using multifocal plane microscopy.Proceedings. IEEE International Symposium on Biomedical Imaging · 2012Article
- Measurement Errors in Fluorescence Microscopy Image Registration.Conference record. Asilomar Conference on Signals, Systems & Computers · 2012Article
- Optimal diffusion coefficient estimation in single-particle tracking.Physical review. E, Statistical, nonlinear, and soft matter physics · 2012Article
- Effect of Time Discretization on the Limit of the Accuracy of Parameter Estimation for Moving Single Molecules Imaged by Fluorescence Microscopy.Proceedings. IEEE International Symposium on Biomedical Imaging · 2012Article
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Authors and funding
3 authors.
Funding
Abstract
In this paper, we consider the problem of the accuracy of estimating the location and other attributes of a moving single molecule whose trajectory is imaged by fluorescence microscopy. As accuracy in parameter estimation is closely related to the Fisher information matrix, we first give a general expression of the Fisher information matrix for the estimated parameters for a single object moving in three-dimensional (3D) space. Explicit Cramér-Rao lower bound (CRLB) expressions are then obtained from the Fisher information matrix for a single object moving in the two-dimensional (2D) focus plane with the object trajectory being either linear or circular. We also investigate how extraneous noise sources, pixelation, parameters of the detection system and parameters of the trajectory affect the limit of the accuracy. The results obtained in this paper provide insights that enable the experimentalists to optimize their experimental setups for tracking single molecules in order to achieve the best possible accuracy. They are also applicable to the general problem of tracking an object using quantum limited detectors.
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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.