Biological video reconstruction using linear or non-linear Fourier measurements

Yoann Le Montagner; Elsa Angelini; Jean-Christophe Olivo-Marin

doi:10.1117/12.2024282

26 September 2013 Biological video reconstruction using linear or non-linear Fourier measurements

Yoann Le Montagner, Elsa Angelini, Jean-Christophe Olivo-Marin

Proceedings Volume 8858, Wavelets and Sparsity XV; 885818 (2013) https://doi.org/10.1117/12.2024282
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

In this paper, we investigate how the CS framework can be adapted to biological video microscopy acquisition problems. We first consider a frame-by-frame linear acquisition model in the Fourier domain of the signal, and discuss the relevance of several sparsity models that can be used to drive the reconstruction of the whole video sequence. Then, we switch to a non-linear acquisition model – therefore beyond the “pure” CS framework – in which only the modulus of the Fourier transform of the signal is acquired: by exploiting sparsity properties similar to the one used in the linear acquisition case, we demonstrate the feasibility of a phase retrieval reconstruction procedure applied to video signals.

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Yoann Le Montagner, Elsa Angelini, and Jean-Christophe Olivo-Marin "Biological video reconstruction using linear or non-linear Fourier measurements", Proc. SPIE 8858, Wavelets and Sparsity XV, 885818 (26 September 2013); https://doi.org/10.1117/12.2024282

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KEYWORDS

Video

Phase retrieval

Video microscopy

Fourier transforms

Radon

Compressed sensing

Detection theory

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