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Summary

Digital processing of optical coherence functions enables 3D object reconstruction from incoherent light. This method mirrors x-ray tomography projections, offering a novel imaging approach.

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Area of Science:

Optics and Photonics
Digital Imaging
3D Reconstruction

Background:

Reconstructing 3D objects from incoherent light presents significant challenges.
Traditional tomography methods often require coherent illumination or complex setups.

Purpose of the Study:

To demonstrate a novel method for 3D object reconstruction using digital processing of optical coherence functions.
To establish the mathematical equivalence between this optical method and x-ray cone-beam tomography.
To present a practical lensless interferometric camera for capturing necessary data.

Main Methods:

Digital processing of optical coherence functions.
Fourier analysis of the field's mutual intensity.
Utilizing a lensless interferometric camera to capture mutual intensity data planes.

Main Results:

The study demonstrates that Fourier analysis of mutual intensity yields projections identical to those in x-ray cone-beam tomography.
Successful 3D reconstruction of an incoherently illuminated visible object was achieved.
A functional lensless interferometric camera was developed and employed.

Conclusions:

Digital processing of optical coherence functions provides a viable pathway for 3D object reconstruction under incoherent illumination.
The established mathematical link to x-ray tomography validates the technique's potential.
The developed interferometric camera facilitates practical implementation of this 3D imaging approach.