Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Simulations and comparison of SOFI reconstructions with different optical pixel.

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Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Simulations and comparison of SOFI reconstructions with different optical pixel sizes. (a)–(c) The averaged conventional images of the test object with pixel sizes of 65, 108, and 160 nm, respectively. Insets: magnified regions. (d) The test object. Dotted circles indicate the positions of different spatial frequencies. (e)–(g) Third-order SOFI images with a pixel size of 65, 108, and 160 nm, respectively. Insets: magnified regions. (h) Cross sections indicated by the white lines in (c)–(g). (i) Correlation value versus spatial frequency for (e)–(g), respectively. (j) Simulation of the curve representing cut-off frequency (spatial resolution) as a function of the pixel size; 500 frames were simulated for the SOFI reconstruction. This simulation is performed with shot noise included and fixed photon budget ( ∼ 150,000 photons for each frame) for different pixel sizes; 500 photons are detected from a single molecule in the bright state per time unit. In our simulations, the SNR is about 3 when 40- to 50-nm pixel sizes were used. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Comparison between SOFI imaging with different frame rates. Hundred frames are used for SOFI reconstruction. The simulation was performed with shot noise included, the collected photon numbers for each frame were dependent on frame rates. (a) Averaged conventional image of a simulated filamentous network. (b) Second-order SOFI image obtained with 100-fps frame rate and 1-s acquisition time. (c) Second-order SOFI image obtained with 33-fps frame rate and 3-s acquisition time. (d) and (e) Magnified regions indicated by the white dotted box in (b) and (c). (f) Cross sections indicated by the white dotted lines in (a), (d), and (e). Scale bars: Upper panel: 2 μm. Lower panel: 1 μm. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Comparison of SOFI imaging with different frame rates at constant acquisition time of 1 s. (a)–(e) Generated single frame images of a simulated filamentous network with frame rates of 10, 33, 100, 200, and 600 fps, respectively. (f)–(j) Second-order SOFI images of the simulated filamentous network with frame rates of 10, 33, 100, 200, and 600 fps, respectively. (k) Cross sections indicated by the white dotted lines in (f)–(j). This simulation is performed with shot noise and read noise included for different frame rates. The collected photons for each frame decrease linearly with the increase of frame rates. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Dependence of the shot noise, read noise, and fixed pattern noise on the photon number for sCMOS (a) and EMCCD (b). The shot noise and fixed pattern noise increase with the photon number for both sCMOS and EMCCD, whereas the read noise is independent of photon number. The sCMOS detector exhibits less shot noise compared with the EMCCD. However, read noise and fixed pattern noise of sCMOS are both larger than that of EMCCD. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. (a) Third-order SOFI image of the resolution rest object using sCMOS camera. Dotted circles indicate the positions of different spatial frequencies. (b) Cut-off frequency vs. SNR for sCMOS and EMCCD. Shot noise, read noise, and fixed pattern noise were taken into account for evaluating the performance of SOFI imaging. The fluorescent wavelength was 625 nm, and a 100× objective with numerical aperture of 1.4 was used in the simulation. 100 frames were simulated for SOFI reconstruction. The quantum efficiencies for sCMOS and EMCCD are 72% and 90%, respectively. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Comparison of SOFI imaging with different gains for sCMOS and EMCCD. (a) and (b) Generated single frame images of sCMOS and EMCCD. (c) and (d) Third-order SOFI images of sCMOS and EMCCD. (e) Correlation value versus spatial frequency curve with different gains. In this simulation, the gain for EMCCD is set constant as 10. The gain for sCMOS is set as a random value between 9 and 11. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Comparison of SNRs between sCMOS and EMCCD. Upper panel: images with different frame rates using sCMOS and EMCCD on the same Qdot 525 particles. Scale bar: 1 μm. Lower panel: the SNR values as a function of the frame rate. The EMCCD and sCMOS were cooled to −70°C and 0°C, respectively. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO

Date of download: 6/26/2016 Copyright © 2016 SPIE. All rights reserved. Comparison of SOFI performance between sCMOS and EMCCD. (a) Average of 1200 sCMOS raw data. (b) Fourth-order sCMOS SOFI result. (c) Average of 1200 EMCCD raw data. (d) Fourth-order EMCCD SOFI result. (e)–(h) Magnified regions indicated by the white box in (a)–(d), respectively. (i) and (j) Cross sections (the solid lines were fitted using Gaussian fitting) indicated by the white arrows in (e) and (f) and (g) and (h), respectively. Scale bar: 10 μm in (a)–(d) and 1 μm in (e)–(h). The EMCCD (gain=20) and sCMOS were cooled to −70°C and 0°C, respectively. Figure Legend: From: Superior performance with sCMOS over EMCCD in super-resolution optical fluctuation imaging J. Biomed. Opt. 2016;21(6): doi: /1.JBO