Reconstruction Of Three-Dimensional Light-Microscopic Images Comparing Frequency And Spatial Domain Methods

J. Bille; B. Schmitt; E. Beck

doi:10.1117/12.976238

10 December 1986 Reconstruction Of Three-Dimensional Light-Microscopic Images Comparing Frequency And Spatial Domain Methods

J. Bille, B. Schmitt, E. Beck

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Proceedings Volume 0697, Applications of Digital Image Processing IX; (1986) https://doi.org/10.1117/12.976238
Event: 30th Annual Technical Symposium, 1986, San Diego, United States

Abstract

Within the scope of the Fresnel diffraction theory the threedimensional transfer function OTF of the microscope was obtained. Inverse filtering with OTF-1 can be used for the reconstruction of 3-D light-microscopic images. Comparison with Stokseth's approximation for the optical transfer function used in other works on 3-D reconstruction shows a rather large relative error for this approximation. Transforming OTF-1 back into the spatial domain a closed form for the inverse point spread function IPSF (with respect to convolution of the point spread function PSF) was obtained. Direct deconvolution of 3-D images in the spatial domain proofs to be advantageous compared to deconvolution in the frequency domain. Closer examination of the reconstruction procedure shows that the spatial resolution defined by the Rayleigh criterion can be improved by a factor 1.8 perpendicular and by 1.5 parallel to the optical axis.

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J. Bille, B. Schmitt, and E. Beck "Reconstruction Of Three-Dimensional Light-Microscopic Images Comparing Frequency And Spatial Domain Methods", Proc. SPIE 0697, Applications of Digital Image Processing IX, (10 December 1986); https://doi.org/10.1117/12.976238

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KEYWORDS

Optical transfer functions

3D image processing

Point spread functions

3D image reconstruction

Convolution

Microscopes

Image processing

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