Three-dimensional localization precision of the double-helix point spread function versus astigmatism and biplane

Majid Badieirostami; Matthew D. Lew; Michael A. Thompson; W. E. Moerner

doi:10.1063/1.3499652

Three-dimensional localization precision of the double-helix point spread function versus astigmatism and biplane

Majid Badieirostami, Matthew D. Lew, Michael A. Thompson, W. E. Moerner

Research output: Contribution to journal › Article › peer-review

112 Scopus citations

Abstract

Wide-field microscopy with a double-helix point spread function (DH-PSF) provides three-dimensional (3D) position information beyond the optical diffraction limit. We compare the theoretical localization precision for an unbiased estimator of the DH-PSF to that for 3D localization by astigmatic and biplane imaging using Fisher information analysis including pixelation and varying levels of background. The DH-PSF results in almost constant localization precision in all three dimensions for a 2 μm thick depth of field while astigmatism and biplane improve the axial localization precision over smaller axial ranges. For high signal-to-background ratio, the DH-PSF on average achieves better localization precision.

Original language	English
Article number	161103
Journal	Applied Physics Letters
Volume	97
Issue number	16
DOIs	https://doi.org/10.1063/1.3499652
State	Published - Oct 18 2010

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title = "Three-dimensional localization precision of the double-helix point spread function versus astigmatism and biplane",

abstract = "Wide-field microscopy with a double-helix point spread function (DH-PSF) provides three-dimensional (3D) position information beyond the optical diffraction limit. We compare the theoretical localization precision for an unbiased estimator of the DH-PSF to that for 3D localization by astigmatic and biplane imaging using Fisher information analysis including pixelation and varying levels of background. The DH-PSF results in almost constant localization precision in all three dimensions for a 2 μm thick depth of field while astigmatism and biplane improve the axial localization precision over smaller axial ranges. For high signal-to-background ratio, the DH-PSF on average achieves better localization precision.",

author = "Majid Badieirostami and Lew, {Matthew D.} and Thompson, {Michael A.} and Moerner, {W. E.}",

note = "Funding Information: This work was supported in part by Grant No. R01GM085437 from the National Institute of General Medical Sciences. M.D.L. and M.A.T. acknowledge support from National Science Foundation Graduate Research Fellowships. M.D.L. is also supported by a 3Com Corporation Stanford Graduate Fellowship, and M.A.T. is also supported by a Bert and DeeDee McMurtry Stanford Graduate Fellowship.",

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AU - Thompson, Michael A.

AU - Moerner, W. E.

N1 - Funding Information: This work was supported in part by Grant No. R01GM085437 from the National Institute of General Medical Sciences. M.D.L. and M.A.T. acknowledge support from National Science Foundation Graduate Research Fellowships. M.D.L. is also supported by a 3Com Corporation Stanford Graduate Fellowship, and M.A.T. is also supported by a Bert and DeeDee McMurtry Stanford Graduate Fellowship.

PY - 2010/10/18

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N2 - Wide-field microscopy with a double-helix point spread function (DH-PSF) provides three-dimensional (3D) position information beyond the optical diffraction limit. We compare the theoretical localization precision for an unbiased estimator of the DH-PSF to that for 3D localization by astigmatic and biplane imaging using Fisher information analysis including pixelation and varying levels of background. The DH-PSF results in almost constant localization precision in all three dimensions for a 2 μm thick depth of field while astigmatism and biplane improve the axial localization precision over smaller axial ranges. For high signal-to-background ratio, the DH-PSF on average achieves better localization precision.

AB - Wide-field microscopy with a double-helix point spread function (DH-PSF) provides three-dimensional (3D) position information beyond the optical diffraction limit. We compare the theoretical localization precision for an unbiased estimator of the DH-PSF to that for 3D localization by astigmatic and biplane imaging using Fisher information analysis including pixelation and varying levels of background. The DH-PSF results in almost constant localization precision in all three dimensions for a 2 μm thick depth of field while astigmatism and biplane improve the axial localization precision over smaller axial ranges. For high signal-to-background ratio, the DH-PSF on average achieves better localization precision.

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Three-dimensional localization precision of the double-helix point spread function versus astigmatism and biplane

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