Hybrid algorithm based on radial symmetry and weighted least-square ellipse fitting for three-dimensional nanometer particle localization

Xia Huang; Yu Ding; Chuan Xiao; Wei Qian; Chunqiang Li

doi:10.1117/1.JBO.23.3.036501

19 March 2018 Hybrid algorithm based on radial symmetry and weighted least-square ellipse fitting for three-dimensional nanometer particle localization

Xia Huang, Yu Ding, Chuan Xiao, Wei Qian, Chunqiang Li

Author Affiliations +

Journal of Biomedical Optics, Vol. 23, Issue 3, 036501 (March 2018). https://doi.org/10.1117/1.JBO.23.3.036501

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.

Citation Download Citation

Xia Huang, Yu Ding, Chuan Xiao, Wei Qian, and 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

Received: 8 December 2017; Accepted: 19 February 2018; Published: 19 March 2018

ACCESS THE FULL ARTICLE

JOURNAL ARTICLE
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Signal to noise ratio

Particles

Point spread functions

Algorithm development

3D image processing

Microscopy

Super resolution

Show All Keywords

RELATED CONTENT

Time multiplexing super resolution nanoscopy based on the Brownian motion...
Proceedings of SPIE (February 22 2017)

Microscopic particle localization in 3D and in multicolor (Conference Presentation)
Proceedings of SPIE (January 01 1900)

Distinguishing one from many using super-resolution compressive sensing
Proceedings of SPIE (May 14 2018)

Multi view optical tomography using L1 data fidelity and sparsity...
Proceedings of SPIE (February 12 2008)

Three-Dimensional Reconstruction Of Noisy Confocal Scanning Microscope Images
Proceedings of SPIE (December 22 1989)

3D microscopy with a double-helix point spread function
Proceedings of SPIE (March 03 2009)

Subpixel deconvolution of 3D optical microscope imagery
Proceedings of SPIE (October 26 2004)

Subscribe to Digital Library

Receive Erratum Email Alert

Show All Keywords

Keywords/Phrases

Search In:

Publication Years