19 March 2018 Hybrid algorithm based on radial symmetry and weighted least-square ellipse fitting for three-dimensional nanometer particle localization
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Abstract
Choosing the localization algorithm in superresolution microscopy is an important factor in determining the resolution in such a modality. The point spread function (PSF) in defocused images has ring structures that can be used to localize the three-dimensional (3-D) position of single particles by calculating the ring center (x and y) and radius (z). As there is no well-developed mathematical model for a defocused PSF, it is difficult to perform a fitting-based algorithm in such images. A particle localization algorithm based on radial symmetry and ellipse fitting is developed to localize the centers and radii of defocused PSFs. Our method can localize the 3-D position of a fluorophore within 20-nm precision in three-dimensions in a range of 40  μm in z-dimension from defocused two-dimensional (2-D) images.
© 2018 Society of Photo-Optical Instrumentation Engineers (SPIE)
Xia Huang, Yu Ding, Chuan Xiao, Wei Qian, Chunqiang Li, "Hybrid algorithm based on radial symmetry and weighted least-square ellipse fitting for three-dimensional nanometer particle localization," Journal of Biomedical Optics 23(3), 036501 (19 March 2018). https://doi.org/10.1117/1.JBO.23.3.036501 . Submission: Received: 8 December 2017; Accepted: 19 February 2018
Received: 8 December 2017; Accepted: 19 February 2018; Published: 19 March 2018
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