Author Affiliations
1Britton Chance Center for Biomedical Photonics, Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China2MoE Key Laboratory for Biomedical Photonics, School of Engineering Sciences, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China3School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, Hubei 430074, Chinashow less
Fig. 1. Flow chart of FRC resolution calculation
Fig. 2. Working principle diagram of sFSC method’s shell selector. (a) Selector model parameters in spatial diagram;(b) double wedge symmetric selection model; (c) sFSC selector workflow simulation diagram at single frequency shell domain
Fig. 3. Resolution evaluation results of fluorescent balls with 0.1 μm diameter. (a) Intensity profile of the fluorescent balls; (b) Gaussian fitting results of intensity profile by FWHM method; (c) angle-dependent resolution curve calculated by sFSC method
Fig. 4. Flow chart of image restoration based on sFSC resolution evaluation method
Fig. 5. Comparison of resolution and image quality before and after restoration. (a) Resolution curves using sFSC method;(b) image comparison before and after Wiener deconvolution; (c) intensity profile curves of ROI in Fig. 5(b)
Fig. 6. Comparison of images reconstructed by Wiener deconvolution under different PSF. (a) Original data; (b) T-PSF; (c) R-PSF1; (d) R-PSF2; (e) O-PSF; (f) sFSC-PSF
Fig. 7. Maximum projection images reconstructed by different deconvolution methods on different PSF size
Fig. 8. sFSC resolution curves of LW deconvolution with R-PSF and sFSC-PSF input. (a) R-PSF (0.18 μm×0.55 μm);(b) sFSC-PSF (0.198 μm×0.679 μm)
Method | Lateral resolution | Axial resolution |
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Theoretical | 0.292 | 0.979 | FWHM | 0.294 | 1.297 | sFSC | 0.312 | 1.648 |
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Table 1. Comparison of resolution results among theoretical calculation, FWHM, and sFSC methods unit:μm
PSF | Original data | T-PSF | R-PSF1 | R-PSF2 | O-PSF | sFSC-PSF |
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Size /(μm×μm) | | 0.204×0.458 | 0.18×0.55 | 0.22×0.60 | 0.25×0.60 | 0.198×0.679 | Score | 4.04 | 4.94 | 5.33 | 5.09 | 4.82 | 5.40 |
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Table 2. BIBLE score of the maximum projection images reconstructed by Winner deconvolution on different PSF size
PSF | Original data | T-PSF | R-PSF1 | R-PSF2 | O-PSF | sFSC-PSF |
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Size /(μm×μm) | | 0.204×0.458 | 0.18×0.55 | 0.22×0.60 | 0.25×0.60 | 0.198×0.679 | Lateral resolution /μm | 0.1984 | 0.1737 | 0.1707 | 0.1763 | 0.1814 | 0.1693 | Axial resolution /μm | 0.6792 | 0.4591 | 0.4610 | 0.4657 | 0.5167 | 0.4538 |
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Table 3. sFSC resolution evaluation results of images reconstructed with Wiener deconvolution on different PSF size
PSF | T-PSF | R-PSF1 | R-PSF2 | O-PSF | sFSC-PSF |
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Size /(μm×μm) | 0.204×0.458 | 0.18×0.55 | 0.22×0.60 | 0.25×0.60 | 0.198×0.679 | BIBLE score | RL | 3.94 | 4.18 | 3.78 | 3.56 | 4.38 | NNLS | 2.85 | 2.95 | 2.68 | 2.50 | 3.22 | LW | 2.86 | 3.19 | 2.83 | 2.66 | 3.38 | TRIF | 2.94 | 3.36 | 2.93 | 2.70 | 3.51 |
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Table 4. BIBLE score of the maximum projection images reconstructed by different deconvolution methods on different PSF
PSF | T-PSF | R-PSF1 | R-PSF2 | O-PSF | sFSC-PSF |
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Size /(μm×μm) | 0.204×0.458 | 0.18×0.55 | 0.22×0.60 | 0.25×0.60 | 0.198×0.679 | Lateral resolution /μm | RL | 0.1941 | 0.1820 | 0.1986 | 0.2047 | 0.1725 | NNLS | 0.1912 | 0.1851 | 0.1969 | 0.2126 | 0.1833 | LW | 0.1813 | 0.1705 | 0.1904 | 0.2097 | 0.1824 | TRIF | 0.1823 | 0.1665 | 0.1916 | 0.2125 | 0.1665 | Axial resolution /μm | RL | 0.6229 | 0.6178 | 0.6355 | 0.6409 | 0.6160 | NNLS | 0.5362 | 0.5329 | 0.5283 | 0.5337 | 0.5307 | LW | 0.5309 | 0.4999 | 0.5269 | 0.5381 | 0.5013 | TRIF | 0.5265 | 0.5035 | 0.5208 | 0.5347 | 0.5011 |
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Table 5. sFSC resolution evaluation results of images reconstructed by different deconvolution methods on different PSF