Three-Dimensional Object Representation In Imaging Systems

G. A. Laub; G. Lenz; E. R. Reinhardt

doi:10.1117/12.7973596

1 August 1985 Three-Dimensional Object Representation In Imaging Systems

G. A. Laub, G. Lenz, E. R. Reinhardt

Author Affiliations +

Optical Engineering, Vol. 24, Issue 5, 245901 (August 1985). https://doi.org/10.1117/12.7973596

Abstract

In image-forming optical systems the image of a three-dimensional object consists of a superposition of focused and defocused object layers. For a quantitative evaluation of the object it is necessary to decompose the superposi-tion image into different images corresponding to single object layers. For this purpose the object radiation is measured with different optical transfer func-tions of the imaging system, for example, by simply changing the focus plane. Each image contains focused and defocused parts of the object and can be described as a linear equation of the object layers, assuming linear space-invariant imaging properties. From these images the real object distribution can be calculated by the evaluation of the resulting linear system of equations in the Fourier domain. Due to noise in the detected images it is only possible to get an estimate of the true object distribution. In our case this estimate is based on an integral minimal mean square error in the reconstructed object. The algorithm is presented and demonstrated by simulation experiments and reconstructions of real human cell images in optical microscopy.

Citation Download Citation

G. A. Laub, G. Lenz, and E. R. Reinhardt "Three-Dimensional Object Representation In Imaging Systems," Optical Engineering 24(5), 245901 (1 August 1985). https://doi.org/10.1117/12.7973596

Published: 1 August 1985

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