Orthogonal matching pursuit vs. iterative hard thresholding: addressing phase discontinuities in digital holography

Yue Wang; John Healy

doi:10.1117/12.3022466

18 June 2024 Orthogonal matching pursuit vs. iterative hard thresholding: addressing phase discontinuities in digital holography

Yue Wang, John Healy

Author Affiliations +

Proceedings Volume 12998, Optics, Photonics, and Digital Technologies for Imaging Applications VIII; 129980W (2024) https://doi.org/10.1117/12.3022466
Event: SPIE Photonics Europe, 2024, Strasbourg, France

Abstract

This paper presents a novel comparative study between two prominent compressed sensing algorithms – Orthogonal Matching Pursuit (OMP) and Iterative Hard Thresholding (IHT) – within the context of digital holography, specifically focusing on their efficacy in handling phase discontinuities. Previous research has predominantly centered on Gibbs ringing artifacts in image reconstruction and their mitigation. However, the aspect of phase discontinuities, which are critical in holographic imaging, has not been extensively explored. Our study implement both OMP and IHT algorithms in a simulated digital holographic environment, where phase discontinuities are inherent due to the nature of holographic imaging. We analyze how these algorithms perform in the presence of phase discontinuities. We quantitatively analyze the performance of each algorithm in handling phase discontinuities. Additionally, our study delves into the computational efficiency of both algorithms, considering their practical applicability in real-time holographic imaging systems. The results of our comparative analysis provide insights into the advantages and limitations of OMP and IHT in the context of phase discontinuities. Our findings have significant implications for advancing digital holography, particularly in applications requiring precise phase information, such as medical imaging, microscopy, and non-destructive testing.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yue Wang and John Healy "Orthogonal matching pursuit vs. iterative hard thresholding: addressing phase discontinuities in digital holography", Proc. SPIE 12998, Optics, Photonics, and Digital Technologies for Imaging Applications VIII, 129980W (18 June 2024); https://doi.org/10.1117/12.3022466

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