Stereo-imaging towards spectrography for 3D analysis from a single spectral view

A scheme is proposed here for spectrography that is for 3D analysis of an object from a single spectral view. In this scheme, we first reconstruct some planes that go through the origin of the Fourier space and interact significantly with Ewald spheres. Since only amplitude data are measured, the corresponding phase information is estimated using a hybrid-input-output algorithm. Finally, each of the specified planes is reconstructed from the highly under-sampled Fourier data using a dictionary learning technique. According to the Fourier central slice theorem, the reconstructed image is equivalent to a parallel-beam projection of the object. Hence, the reconstructed projections can be used to analyze internal structures of the object via stereo imaging. The numerical experiments suggest that our method is promising for studies on 3D structures from one spectral view.

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