From Event: SPIE Commercial + Scientific Sensing and Imaging, 2018
In this paper, we propose and analyze a new compressive Fourier phase retrieval (PR) technique based on differential measurement, that can provably recover sparse signals with O(s polylog N) phase-less measurements. This measurement technique is easily implementable using interferometric techniques like Holography and Frequency Domain Optical Coherence Tomography. The proposed l1 minimization based recovery is able to achieve the same reconstruction quality as some of the popular PR algorithms with far fewer measurements.
Pulak Sarangi and Piya Pal, "Compressed sensing and differential measurements in interferometry," Proc. SPIE 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics, 1065806 (Presented at SPIE Commercial + Scientific Sensing and Imaging: April 18, 2018; Published: 14 May 2018); https://doi.org/10.1117/12.2310151.
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