DOI QR코드

DOI QR Code

Simultaneous Estimation of Spatial Frequency and Phase Based on an Improved Component Cross-Correlation Algorithm for Structured Illumination Microscopy

  • Zhang, Yinxin (Key Laboratory of Opto-electronics Information Technology, Ministry of Education, Tianjin University) ;
  • Deng, Jiajun (Key Laboratory of Opto-electronics Information Technology, Ministry of Education, Tianjin University) ;
  • Liu, Guoxuan (State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University) ;
  • Fei, Jianyang (Key Laboratory of Opto-electronics Information Technology, Ministry of Education, Tianjin University) ;
  • Yang, Huaidong (State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University)
  • Received : 2020.01.03
  • Accepted : 2020.06.09
  • Published : 2020.08.25

Abstract

Accurate estimation of spatial frequencies and phases for illumination patterns are essential to reconstructing super-resolution images in structured illumination microscopy (SIM). In this manuscript, we propose the improved component cross-correlation (ICC) algorithm, which is based on optimization of the cross-correlation values of the overlapping information between various spectral components. Compared to other algorithms for spatial-frequency and phase determination, the results calculated by the ICC algorithm are more accurate when the modulation depths of the illumination patterns are low. Moreover, the ICC algorithm is able to calculate the spatial frequencies and phases simultaneously. Simulation results indicate that even if the modulation depth is lower than 0.1, the ICC algorithm still estimates the parameters precisely; the images reconstructed by the ICC algorithm are much clearer than those reconstructed by other algorithms. In experiments, our home-built SIM system was used to image bovine pulmonary artery endothelial (BPAE) cells. Drawing support from the ICC algorithm, super-resolution images were reconstructed without artifacts.

Keywords

References

  1. S. W. Hell and J. Wichmann, "Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy," Opt. Lett. 19, 780-782 (1994). https://doi.org/10.1364/OL.19.000780
  2. E. Betzig, G. H. Patterson, R. Sougrat, O. W. Lindwasser, S. Olenych, J. S. Bonifacino, M. W. Davidson, J. Lippincott-Schwartz, and H. F. Hess, "Imaging intracellular fluorescent proteins at nanometer resolution," Science 313, 1642-1645 (2006). https://doi.org/10.1126/science.1127344
  3. M. J. Rust, M. Bates, and X. Zhuang, "Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM)," Nat. Methods 3, 793-796 (2006). https://doi.org/10.1038/nmeth929
  4. M. G. L. Gustafsson, "Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy," J. Microsc. 198, 82-87 (2000). https://doi.org/10.1046/j.1365-2818.2000.00710.x
  5. R. Heintzmann and C. G. Cremer, "Laterally modulated excitation microscopy: improvement of resolution by using a diffraction grating," Proc. SPIE 3568, 185-196 (1999).
  6. A. G. York, S. H. Parekh, D. D. Nrage. R. S. Fischer, K. Temprine, M. Mione, A. B. Chitnis, C. A. Combs, and H. Shroff, "Resolution doubling in live, multicellular organisms via multifocal structured illumination microscopy," Nat. Methods 9, 749-754 (2012). https://doi.org/10.1038/nmeth.2025
  7. M. Schropp and R. Uhl, "Two-dimensional structured illumination microscopy," J. Microsc. 256, 23-26 (2014). https://doi.org/10.1111/jmi.12154
  8. M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, "Doubling the lateral resolution of wide-field fluorescence microscopy using structured illumination," Proc. SPIE 3919, 141-150 (2000).
  9. F. Orieux, E. Sepulveda, V. Loriette, B. Dubertret, and J-C. Olivo-Marin, "Bayesian estimation for optimized structured illumination microscopy," IEEE Trans. Image Process. 21, 601-614 (2012). https://doi.org/10.1109/TIP.2011.2162741
  10. F. Strohl and C. F. Kaminski, "Frontiers in structured illumination microscopy," Optica 3, 667-677 (2016). https://doi.org/10.1364/OPTICA.3.000667
  11. S. Dong, P. Nanda, R. Shiradkar, K. Guo, and G. Zheng, "High-resolution fluorescence imaging via pattern-illuminated Fourier ptychography," Opt. Express 22, 20856-20870 (2014). https://doi.org/10.1364/OE.22.020856
  12. L. H. Schaefer, D. Schuster, and J. Schaffer, "Structured illumination microscopy: artefact analysis and reduction utilizing a parameter optimization approach," J. Microsc. 216, 165-174 (2004). https://doi.org/10.1111/j.0022-2720.2004.01411.x
  13. A. Lal, C. Shan, K. Zhao, W. Liu, X. Huang, W. Zong, L. Cheng, and P. Xi, "A frequency domain SIM reconstruction algorithm using reduced number of images," IEEE Trans. Image Process. 27, 4555-4570 (2018). https://doi.org/10.1109/TIP.2018.2842149
  14. S. Dong, J. Liao, K. Guo, L. Bian, J. Suo, and G. Zheng. "Resolution doubling with a reduced number of image acquisitions," Biomed. Opt. Express 6, 2946-2952 (2015). https://doi.org/10.1364/BOE.6.002946
  15. A. Lal, X. Huang, and P. Xi, "A frequency domain reconstruction of SIM image using four raw images," Proc. SPIE 10024, 1002411 (2016).
  16. R. Fiolka, L Shao, E. H. Rego, M. W. Davidson, and M. G. L. Gustafsson, "Time-lapse two-color 3D imaging of live cells with doubled resolution using structured illumination," Proc. Natl. Acad. Sci. U. S. A. 109, 5311-5315 (2012). https://doi.org/10.1073/pnas.1119262109
  17. D. Dan, M. Lei, B. Yao, W. Wang, M. Winterhalder, A. Zumbusch, Y. Qi, L. Xia, S. Yan, Y. Yang, P. Gao, T. Ye, and W. Zhao, "DMD-based LED-illumination super-resolution and optical section microscopy," Sci. Rep. 3, 1116 (2013). https://doi.org/10.1038/srep01116
  18. A. Lal, C. Shan, and P. Xi, "Structured illumination microscopy image reconstruction algorithm," IEEE J. Sel. Top. Quantum Electron. 22, 50-63 (2016).
  19. S. A. Shroff, J. R. Fienup, and D. R. Williams, "Phase-shift estimation in sinusoidally illuminated images for lateral superresolution," J. Opt. Soc. Am. A 26, 413-424 (2009).
  20. K. Wicker, "Non-iterative determination of pattern phase in structured illumination microscopy using auto-correlation in Fourier space," Opt. Express 21, 24692-24701 (2013). https://doi.org/10.1364/OE.21.024692
  21. M. G. Gustafsson, L. Shao, P. M. Carlton, C. J. R. Wang, I. N. Golubovskaya, W. Z. Cande, D. A. Agard, and J. W. Sedat, "Three-dimensional resolution doubling in wide-field fluorescence microscopy by structured illumination," Biophys. J. 94, 4957-4970 (2008). https://doi.org/10.1529/biophysj.107.120345
  22. K. Wicker, O. Mandula, G. Best, R. Fiolka, and R. Heintzmann, "Phase optimization for structured illumination microscopy," Opt. Express 21, 2032-2049 (2013). https://doi.org/10.1364/OE.21.002032
  23. K. Wicker, "Increasing resolution and light efficiency in fluorescence microscopy," Ph. D. dissertation, King's College London UK. (2010), pp. 35-77.
  24. S. A. Shroff, J. R. Fienup, and D. R. Williams, "Lateral superresolution using a posteriori phase shift estimation for a moving object: experimental results," J. Opt. Soc. Am. A 27, 1770-1782 (2010). https://doi.org/10.1364/JOSAA.27.001770
  25. C. T. Vu, T. D. Phan, and D. M. Chandler, "S3: A spectral and spatial measure of local perceived sharpness in natural images," IEEE Trans. Image Process. 21, 934-945 (2012). https://doi.org/10.1109/TIP.2011.2169974