Leportier, T. Park, M-C 2024-01-20T01:31:24Z 2024-01-20T01:31:24Z 2021-09-01 2017-06 2040-8978 https://pubs.kist.re.kr/handle/201004/122701 Techniques based on compressive sensing (CS) have been proposed recently for the optical capture of compressed holographic data. However, even though several remarkable articles have presented mathematical theories and numerical simulations, only a few experimental demonstrations have been reported. In this paper, we investigate the use of different metrics for the estimation of sparsity and show that the Gini index is the most consistent. In addition, we compare the sparsifying bases based on discrete cosine transform, Fourier transform and Fresnelets. We demonstrate that the Fresnelets basis is the best choice for the reconstruction of digital holograms by CS. Finally, we present an experimental set-up for optical acquisition of phase-shifted holograms with an imaging system based on a single-pixel sensor. English IOP PUBLISHING LTD DIGITAL HOLOGRAPHY OBJECT Holographic reconstruction by compressive sensing Article 10.1088/2040-8986/aa6b62 1 JOURNAL OF OPTICS, v.19, no.6 JOURNAL OF OPTICS 19 6 scie scopus 000401096400001 2-s2.0-85020433284 Optics Optics Article DIGITAL HOLOGRAPHY OBJECT compressive sensing digital holography single-pixel imaging sparsity metrics