25 February 2014 Experimental evaluation of digital holographic reconstruction using compressive sensing
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Abstract
Compressive sensing is a new alternative to the conventional Fresnel approach for digital holographic reconstruction for sparse objects, and can show improved performance with respect to image quality and the depth of focus. In this work, we experimentally investigate the performance of the compressive sensing reconstruction approach and compare it with the Fresnel transform and the non-paraxial and paraxial transfer function back-propagation approach. The compressive sensing technique used is the so-called Two-Step Iterative Shrinkage/Thresholding algorithm. A He-Ne laser of 543.5 nm is used as the light source and a Gabor holographic recording system is used as the experimental setup. The test object comprises a dandelion seed parachute with few wings. We capture the holograms at several recording distances and then reconstruct the image using each method. Over the range of recording distances used, the non-paraxial and paraxial transfer function back-propagation approach yields identical results. We evaluate the depth resolution of the compressive sensing algorithm and compare it with that of the Fresnel approach and the non-paraxial back-propagation approach.
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P. Banerjee, H. Liu, L. Williams, "Experimental evaluation of digital holographic reconstruction using compressive sensing", Proc. SPIE 9006, Practical Holography XXVIII: Materials and Applications, 90060Y (25 February 2014); doi: 10.1117/12.2041816; https://doi.org/10.1117/12.2041816
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