2014
DOI: 10.1103/physrevlett.113.133902
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Optimal Point Spread Function Design for 3D Imaging

Abstract: To extract from an image of a single nanoscale object maximum physical information about its position, we propose and demonstrate a framework for pupil-plane modulation for 3D imaging applications requiring precise localization, including single-particle tracking and super-resolution microscopy. The method is based on maximizing the information content of the system, by formulating and solving the appropriate optimization problem – finding the pupil-plane phase pattern that would yield a PSF with optimal Fishe… Show more

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Cited by 336 publications
(326 citation statements)
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“…This framework extends previous work applying Fisher information to individual imaging techniques (e.g., Helstrom, 1969;Winick, 1986;Ober et al, 2004;Aguet et al, 2005;Shahram, 2005;Shahram and Milanfar, 2006;Marengo et al, 2009;Sanches et al, 2010;Mukamel and Schnitzer, 2012;Quirin et al, 2012;Shechtman et al, 2014). For example, many studies have used Fisher information to examine the theoretical optimal resolution of specific optical imaging techniques (Helstrom, 1969;Winick, 1986;Ober et al, 2004;Aguet et al, 2005;Shahram, 2005;Shahram and Milanfar, 2006;Marengo et al, 2009;Mukamel and Schnitzer, 2012;Quirin et al, 2012;Shechtman et al, 2014). However, using Fisher information to optimize other neural recording technologies, while occasionally done (e.g., MRI in Sanches et al, 2010), is not as common.…”
Section: Framework Discussionmentioning
confidence: 64%
“…This framework extends previous work applying Fisher information to individual imaging techniques (e.g., Helstrom, 1969;Winick, 1986;Ober et al, 2004;Aguet et al, 2005;Shahram, 2005;Shahram and Milanfar, 2006;Marengo et al, 2009;Sanches et al, 2010;Mukamel and Schnitzer, 2012;Quirin et al, 2012;Shechtman et al, 2014). For example, many studies have used Fisher information to examine the theoretical optimal resolution of specific optical imaging techniques (Helstrom, 1969;Winick, 1986;Ober et al, 2004;Aguet et al, 2005;Shahram, 2005;Shahram and Milanfar, 2006;Marengo et al, 2009;Mukamel and Schnitzer, 2012;Quirin et al, 2012;Shechtman et al, 2014). However, using Fisher information to optimize other neural recording technologies, while occasionally done (e.g., MRI in Sanches et al, 2010), is not as common.…”
Section: Framework Discussionmentioning
confidence: 64%
“…This motion blur obscures the image and contributes additional localization uncertainty. In addition, because of the axial symmetry of the point spread function (PSF) these methods cannot natively track particles in three dimensions without augmenting the instrument with specialized optics that distort the image with a deterministic axial dependence [8][9][10][11] or with multiple cameras to image multiple planes simultaneously [12]. Many of these methods have limited axial range or limit the measured intensity on any single detector by spreading the photons out over multiple detectors.…”
Section: Introductionmentioning
confidence: 99%
“…The lower half of Figure 22 shows the application of the DH-PSF method to 3D surface imaging of Caulobacter labeled by the rhodamine spirolactam (172). Much remains to be done, as new point-spread function designs continue to appear (180)(181)(182), with the continuing goal to extract the maximum information from each tiny single-molecule emitter in the most efficient fashion.…”
Section: Figure 22 Here -mentioning
confidence: 99%