Compressive digital holography and Gibbs ringing

Yue Wang; John J. Healy

doi:10.1117/12.2671125

31 May 2023 Compressive digital holography and Gibbs ringing

Yue Wang, John J. Healy

Proceedings Volume 12574, Holography: Advances and Modern Trends VIII; 125740W (2023) https://doi.org/10.1117/12.2671125
Event: SPIE Optics + Optoelectronics, 2023, Prague, Czech Republic

Abstract

Gibbs ringing is an artefact that occurs when a discontinuous signal is reconstructed from its Fourier coefficients. The apertures in a digital holographic system can be modelled as truncation in the Fourier domain, meaning they limit the image resolution. The process of apodization introduces Gibbs ringing to holograms of objects with discontinuities. Compressive digital holography attempts to improve image resolution using compressive sensing techniques. Hence, our hypothesis is that Gibbs ringing is reduced by compressive sensing. In this work, we simulate a compressive digital holographic system and investigate how it is affected by Gibbs ringing. We vary the size of the aperture and examine the effects of ringing. This work may aid the further development of compressive digital holography.

Conference Presentation

Citation Download Citation

Yue Wang and John J. Healy "Compressive digital holography and Gibbs ringing", Proc. SPIE 12574, Holography: Advances and Modern Trends VIII, 125740W (31 May 2023); https://doi.org/10.1117/12.2671125

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