References
- Schnars U, Falldorf C, Watson J, et al. Digital holography and wavefront sensing: principles, techniques and applications. Berlin/Heidelberg, Germany: Springer; 2015.
- Goodman JW. Introduction to Fourier optics. 4th ed, New York, USA: W.H Freeman; 2017.
- Goodman JW, Lawrence RW. Digital image formation from electronically detected holograms. App Phys Lett. 1967;11(3):77–79. doi:https://doi.org/10.1063/1.1755043.
- Schnars U, Jüptner W. Direct recording of holograms by a CCD target and numerical reconstruction. Appl Opt. 1994;33(2):179–181. doi:https://doi.org/10.1364/ao.33.000179.
- Donoho DL. Compressed sensing. IEEE Trans Inf Theory. 2006;52(4):1289–1306. doi:https://doi.org/10.1109/TIT.2006.871582.
- Boyd S, Vandenberghe L. Convex optimization. New York, USA: Cambridge University Press; 2004. doi:https://doi.org/10.1017/cbo9780511804441.
- Candès EJ, Wakin MB. An introduction to compressive sampling. IEEE Signal Process Mag. 2008;25(2):21–30. doi:https://doi.org/10.1109/MSP.2007.914731.
- Candes EJ, Romberg JK, Tao T. Stable signal recovery from incomplete and inaccurate measurements. Commun Pure Appl Math: A Journal Issued by the Courant Institute of Mathematical Sciences. 2006;59(8):1207–1223. doi:https://doi.org/10.1002/cpa.20124.
- Li D, Wang Y. Implementation of image resampling algorithm based on compressed sensing. J Phys Conf Ser. 2021;1732:012071. doi:https://doi.org/10.1088/1742-6596/1732/1/012071.
- Du J, Xie X, Wang C, et al. Fully convolutional measurement network for compressive sensing image reconstruction. Neurocomputing. 2019;328:105–112. doi:https://doi.org/10.1016/j.neucom.2018.04.084.
- Music J, Marasovic T, Papic V, et al. Performance of compressive sensing image reconstruction for search and rescue. IEEE Geosci Remote Sens Lett. 2016;13(11):1739–1743. doi:https://doi.org/10.1109/LGRS.2016.2606767.
- Figueiredo MAT, Nowak RD, Wright SJ. Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. IEEE J Sel Top Sign Proces. 2007;1(4):586–597. doi:https://doi.org/10.1109/JSTSP.2007.910281.
- Lustig M, Donoho D. Compressed sensing MRI. Signal Process Mag. 2008;25(2):72–82. doi:https://doi.org/10.1109/MSP.2007.914728.
- Sreenivas TV, Kleijn WB. Compressive sensing for sparsely excited speech signals. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) Proceedings. 2009: 4125–4128. doi:https://doi.org/10.1109/ICASSP.2009.4960536.
- Ke J, Ashok A, Neifeld MA. Block-wise motion detection using compressive imaging system. Opt Commun. 2011;284(5):1170–1180. doi:https://doi.org/10.1016/j.optcom.2010.11.028.
- Brady DJ, Choi K, Marks DL, et al. Compressive holography. Opt Express. 2009;17(15):13040–13049. doi:https://doi.org/10.1364/OE.17.013040.
- Rivenson Y, Stern A, Javidi B. Improved depth resolution by single-exposure in-line compressive holography. Appl Opt. 2013;52(1):A223–A231. doi:https://doi.org/10.1364/AO.52.00A223.
- Rivenson Y, Stern A, Javidi B. Overview of compressive sensing techniques applied in holography. Appl Opt. 2013;52(1):A423–A432. doi:https://doi.org/10.1364/AO.52.00A423.
- Ramachandran P, Alex ZC, Nelleri A. Compressive Fresnel digital holography using Fresnelet based sparse representation. Opt Commun. 2015;340:110–115. doi:https://doi.org/10.1016/j.optcom.2014.11.043.
- Ramachandran P, Alex ZC, Nelleri A. Phase reconstruction using compressive two-step parallel phase-shifting digital holography. Opt Eng. 2018;57(4):043105, doi:https://doi.org/10.1117/1.oe.57.4.043105.
- Reddy BL, Ramachandran P, Nelleri A. Compressive complex wave retrieval from a single off-axis digital Fresnel hologram for quantitative phase imaging and microlens characterization. Opt Commun. 2021;478:126371, doi:https://doi.org/10.1016/j.optcom.2020.126371.
- Bodi LR, Ramachandran P, Nelleri A. Optimal Fresnelet sparsification for compressive complex wave retrieval from an off-axis digital Fresnel hologram. Opt Eng. 2021;60(7):073102, doi:https://doi.org/10.1117/1.OE.60.7.073102.
- Marim M, Angelini E, Olivo-Marin JC, et al. Off-axis compressed holographic microscopy in low-light conditions. Opt Lett. 2011;36(11):79–81. doi:https://doi.org/10.1364/ol.36.000079.
- Baraniuk RG. Compressive sensing. IEEE Signal Process Mag. 2007;24:118–120.
- Duarte MF, Davenport MA, Takhar D, et al. Single-pixel imaging via compressive sampling. IEEE Signal Process Mag. 2008;25(2):83–91. doi:https://doi.org/10.1109/MSP.2007.914730.
- Xiao Y, Zhou L, Chen W. Optical information authentication using phase-only patterns with single-pixel optical detection. Appl Opt. 2021;60(10):B1–B7. doi:https://doi.org/10.1364/AO.414419.
- Gibson GM, Johnson SD, Padgett MJ. Single-pixel imaging 12 years on: a review. Opt Express. 2020;28(19):28190–28208. doi:https://doi.org/10.1364/OE.403195.
- Mur AL, Montcel B, Peyrin F, et al. Deep neural networks for single-pixel compressive video reconstruction. Unconventional optical imaging II. SPIE. 2020;11351:71–80. doi:https://doi.org/10.1117/12.2553326.
- Yu X, Stantchev RI, Yang F, et al. Super sub-Nyquist single-pixel imaging by total variation ascending ordering of the Hadamard basis. Sci Rep. 2020;10:9338, doi:https://doi.org/10.1038/s41598-020-66371-5.
- Vaz PG, Amaral D, Ferreira LF, et al. Image quality of compressive single-pixel imaging using different Hadamard orderings. Opt Express. 2020;28(8):11666–11681. doi:https://doi.org/10.1364/OE.387612.
- Yu WK. Super sub-Nyquist single-pixel imaging by means of cake-cutting Hadamard basis sort. Sensors. 2019;19(19):4122, doi:https://doi.org/10.3390/s19194122.
- Chen Q, Chamoli SK, Yin P, et al. Imaging of hidden object using passive mode single pixel imaging with compressive sensing. Laser Phys Lett. 2018;15(12):126201, doi:https://doi.org/10.1088/1612-202X/aae216.
- Li J, Li Y, Wang Y, et al. Pan, two-step holographic imaging method based on single-pixel compressive imaging. J Opt Soc Korea. 2014;18(2):146–150. doi:https://doi.org/10.3807/JOSK.2014.18.2.146.
- Li J, Sheng J, Yang Pan Y, et al. Compressive optical image encryption. Sci Rep. 2015;5(1):10374, doi:https://doi.org/10.1038/srep10374.
- Martínez-León L, Clemente P, Mori Y, et al. Single-pixel digital holography with phase-encoded illumination. Opt Express. 2017;25(5):4975–4984. doi:https://doi.org/10.1364/OE.25.004975.
- González H, Martínez-León L, Soldevila F, et al. High sampling rate single-pixel digital holography system employing a DMD and phase-encoded patterns. Opt Express. 2018;26(16):20342–20350. doi:https://doi.org/10.1364/OE.26.020342.
- Endo Y, Tahara T, Okamoto R. Color single-pixel digital holography with a phase-encoded reference wave. Appl Opt. 2019;58(34):G149–G154. doi:https://doi.org/10.1364/AO.58.00G149.
- Xiao Y, Zhou L, Chen W. Multiple-plane object reconstruction using single-pixel digital holography. IEEE 28th International symposium on industrial Electronics (ISIE); 2019. 2397–2400. doi:https://doi.org/10.1109/ISIE.2019.8781219.
- Clemente P, Durán V, Tajahuerce E, et al. Compressive holography with a single-pixel detector. Opt Lett. 2013;38(14):2524–2527. doi:https://doi.org/10.1364/ol.38.002524.
- Leportier T, Lee YT, Hwang DK, et al. Park, holographic imaging with single pixel sensor. Nanoengineering: Fabrication, Properties, Optics, and Devices XIII. 2016;9927: 992713, doi:https://doi.org/10.1117/12.2238686.
- Leportier T, Park MC. Holographic reconstruction by compressive sensing. J Opt. 2017;19(6):065704, doi:https://doi.org/10.1088/2040-8986/aa6b62.
- Li C, Yin W, Zhang Y. TVAL3: Tv minimization by augmented lagrangian and alternating direction algorithm. CAAM Report. 2009;20:46–47.
- Liebling M, Blu T, Unser M. Fresnelets: new multiresolution wavelet bases for digital holography. IEEE Trans Image Process. 2003;12(1):29–43. doi:https://doi.org/10.1109/TIP.2002.806243.
- Liebling M, Unser M. Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion. J Opt Soc Am A. 2004;21(12):2424–2430. doi:https://doi.org/10.1364/JOSAA.21.002424.
- Darakis E, Soraghan JJ. Use of Fresnelets for phase-shifting digital hologram compression. IEEE Trans Image Process. 2006;15(12):3804–3811. doi:https://doi.org/10.1109/TIP.2006.884918.
- Liebling M, Blu T, Unser M. Complex-wave retrieval from a single off-axis hologram. J Opt Soc Am A. 2004;21(3):367–377. doi:https://doi.org/10.1364/josaa.21.000367.
- Wu D, Luo J, Huang G, et al. Imaging biological tissue with high-throughput single-pixel compressive holography. Nat Commun. 2021;12(1):1–12. doi:https://doi.org/10.1038/s41467-021-24990-0.