Abstract
Three-dimensional (3D) reconstruction of fluorescence microscopic images is a challenging topic in the image processing, because the imaging system is very complex, and the point spread function (PSF) continuously varies along the optical axis. Generally, the more exact the PSF is, the higher the reconstruction accuracy is. An image reconstruction method is proposed for fluorescence microscopic sample based on space-variant PSF (SV-PSF) which is generated by cubic spline theory in this paper. Firstly, key PSFs are estimated by blind deconvolution algorithm at several depths of fluorescence microscopic image stack along the optical axis. Then, other PSFs are interpolated using cubic spline theory. Finally, a 3D microscopic specimen model is reconstructed by this group of SV-PSFs. The experimental results show that the proposed method is obviously superior to the method in which space-invariant (SI) PSF is used to reconstruct the simulated and real fluorescence microscopic images.







Similar content being viewed by others
REFERENCES
Dey, N., Blanc-Féraud, L., Zimmer, C., Roux, P., Kam, Z., Olivo-Marin, J.C., and Zerubia, J., 3D Microscopy Deconvolution Using Richardson–Lucy Algorithm with Total Variation Regularization, Research Report, RR-5272, INRIA, 2004.
Dey, N., Blanc-Féraud, L., Zimmer, C., Kam, Z., Olivo-Marin, J.C., and Zerubia, J., A deconvolution method for confocal microscopy with total variation regularization, IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2004, pp. 1223–1226.
Chacko, N. and Liebling, M., Fast spatially variant deconvolution for optical microscopy via iterative shrinkage thresholding, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Florence, 2014, pp. 2838–2842.
Hadj, S.B., Blanc-Féraud, L., and Aubert, G., Space Variant Blind Image Restoration, Research Report, RR-8073, INRIA, 2012.
Jia, S., Vaughan, J.C., and Zhuang, X.W., Isotropic three-dimensional super-resolution imaging with a self-bending point spread function, Nat. Photonics, 2014, vol. 8, no. 2, pp. 302–306.
Ghosh, S. and Preza, C., Space-variant image formation for 3D fluorescence microscopy using a computationally efficient block-based model, IEEE International Symposium on Biomedical Imaging, New York, 2015, pp. 789–792.
Li, J.Z., Xue, F., and Blu, T., Accurate 3D PSF estimation from a wide-field microscopy image, IEEE International Symposium on Biomedical Imaging, Washington, D.C., 2018, pp. 501–504.
Hadj, S.B., Blanc-Féraud, L., Aubert, G., and Englerl, G., Blind restoration of confocal microscopy images in presence of a depth-variant blur and poisson noise, IEEE International Conference on Acoustics, Speech and Signal Processing, 2013, Vancouver, pp. 915–919.
Bardsley, J., Jefferies, S., Nagy, J., and Plemmons, R., A computational method for the restoration of images with an unknown, spatially-varying blur, Opt. Express, 2006, vol. 14, no. 5, pp. 1767–1782.
Preza, C. and Conchello, J.A., Depth-variant maximum-likelihood restoration for three-dimensional fluorescence microscopy, J. Opt. Soc. Am. A, 2004, vol. 21, no. 9, pp. 1593–1601.
Biggs, D.S.C. and Andrews, M., Acceleration of iterative image restoration algorithms, Appl. Opt., 1997, vol. 36, no. 8, pp. 1766–1775.
Lucy, L.B., An iterative technique for rectification of observed distributions, Astron. J., 1974, vol. 79, no. 6, pp. 745–765.
Preza, C., Miller, M.I., Thomas, L.J., and McNally, J.G., Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections, J. Opt. Soc. Amer. A, 1992, vol. 9, no. 2, pp. 219–228.
Verveer, P.J. and Jovin, T.M., Efficient super resolution restoration algorithms using maximum a posteriori estimations with application to fluorescence microscopy, J. Opt. Soc. Amer. A, 1997, vol. 14, no. 8, pp. 1696–1706.
Holmes, T.J., Blind deconvolution of quantum-limited incoherent imagery: Maximum-likelihood approach, J. Opt. Soc. Amer. A, 1992, vol. 9, no. 7, pp. 1052–1061.
Dey, N., Blanc-Féraud, L., Zimmer, C., Roux, P., Kam, Z., Olivo-Marin, J.C., and Zerubia, J., Richardson—Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution, Microsc. Res. Tech., 2006, vol. 69, no. 4, pp. 260–266.
Zhang, B., Zerubia, J., and Olivo-Marin, J.C., Gaussian approximations of fluorescence microscope point-spread function models, Appl. Opt., 2007, vol. 46, no. 10, pp. 1819–1829.
Wang, Z., Bovik, A.C., Sheikh, H.R., and Simoncelli, E.P., Image quality assessment: From error visibility to structural similarity, IEEE Trans. Image Process., 2004, vol. 13, no. 4, pp. 600–612.
Wang, Y., He, X., and Wang, H., The depth-variant image restoration based on Hopfield neural network, The 3rd International Conference on Natural Computation, Haikou, 2007, pp. 363–366.
The Lecture on Microscopic Image Processing and the Network on Ultrahigh Resolution Microscopy, 2012. http://www.microimage.com.cn/article/2012/0927/article_2840.html
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
About this article
Cite this article
Yu Wang, Chen, X., Jiang, H. et al. Applying Space-Variant Point Spread Function to Three-Dimensional Reconstruction of Fluorescence Microscopic Images. Aut. Control Comp. Sci. 53, 194–201 (2019). https://doi.org/10.3103/S0146411619020111
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0146411619020111