KEYWORDS: Holograms, Digital holography, 3D modeling, Reconstruction algorithms, Holography, 3D image reconstruction, Algorithm development, Wavefronts, 3D image processing, Eye
Holographic replay traditionally involves back propagation of object field from the hologram plane to the 3D volume of interest where we expect the original object to be located. While this operation has traditionally been considered to “reconstruct” the 3D object we will show that the replay process is in fact a Hermitian transpose operation corresponding to the hologram formation process. Based on this understanding we develop a sparsity assisted iterative algorithm for true 3D reconstruction of the object from the object wavefront in the hologram plane. The inverse solution will be illustrated for the case of particle field holograms where the object volume consists of sparsely populated particles.
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