THE CONCEPT OF SINGLE PIXEL FIBER OPTICAL IMAGING VIA COMPRESSED SENSING

2022-9-1
AZGIN, Ahmet
The field of Compressed Sensing is nearly two decades old, hence a relatively new signal reconstruction routine, pioneered by Donoho, Candes, Baraniuk, Romberg, and Tao (E. Candes et al., 2004, 2005; E. J. Candes & Wakin, 2008; E. Candès & Romberg, 2005b, 2005a; E. Candes & Tao, 2004; D. L. Donoho, 2004; Romberg, 2007) . It exploits the sparsity property of the real-world signals to allow reconstruction at even sub-Nyquist measurements. However, there are still several key properties for a signal to be fully reconstructed, namely Restricted Isometry Property and Incoherence. The aim of this study is to investigate the modality of fiber optical imaging via a compressed sensing paradigm to check the multiple Lorentzian (Cauchy) distributed nature of the fiber optical speckles are able to give rise to the reconstruction of a 2D scene illuminated and doing it so with multimode optical fibers (MMFs) and single-pixel-imaging (SPI) approach.

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Citation Formats
A. AZGIN, “THE CONCEPT OF SINGLE PIXEL FIBER OPTICAL IMAGING VIA COMPRESSED SENSING,” M.S. - Master of Science, Middle East Technical University, 2022.