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31 October 1997 3D locator sets of opaque objects for phase retrieval
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Abstract
Generating a 3D image can be accomplished by gathering 3D far-field heterodyne array data with multiple laser wavelengths and performing a 3D Fourier transform. However, since heterodyne detection is difficult at optical frequencies, the collection system can be greatly simplified if direct detection is performed instead. Then to reconstruct an image one would need a phase-retrieval algorithm. To assist the reconstruction algorithm, we place bounds on the support of the illuminated object, derived from the support of the autocorrelation function, which can be computed from the Fourier intensity data. We have developed 3D locator sets for getting tight bounds on the object support. These new locator sets are more powerful than those for 2D imaging, and some of them make explicit use of the fact that the illuminated opaque object is effectively a 2D surface embedded in 3D space. For those cases in which it is tight enough, the locator set itself may be all that we need to give an accurate height profile of the object.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
James R. Fienup, Brian J. Thelen, Michael F. Reiley, and Richard G. Paxman "3D locator sets of opaque objects for phase retrieval", Proc. SPIE 3170, Image Reconstruction and Restoration II, (31 October 1997); https://doi.org/10.1117/12.292818
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