{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T07:11:27Z","timestamp":1760425887496,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T00:00:00Z","timestamp":1599609600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper describes an image enhancement method of computational reconstruction for 3-D images with multiple parallax image arrays in diffraction grating imaging. A 3-D imaging system via a diffraction grating provides a parallax image array (PIA) which is a set of perspective images of 3-D objects. The parallax images obtained from diffraction grating imaging are free from optical aberrations such as spherical aberrations that are always involved in the 3-D imaging via a lens array. The diffraction grating imaging system for 3-D imaging also can be made at a lower cost system than a camera array system. However, the parallax images suffer from the speckle noise due to a coherent source; also, the noise degrades image quality in 3-D imaging. To remedy this problem, we propose a 3-D computational reconstruction method based on multiple parallax image arrays which are acquired by moving a diffraction grating axially. The proposed method consists of a spatial filtering process for each PIA and an overlapping process. Additionally, we provide theoretical analyses through geometric and wave optics. Optical experiments are conducted to evaluate our method. The experimental results indicate that the proposed method is superior to the existing method in 3-D imaging using a diffraction grating.<\/jats:p>","DOI":"10.3390\/s20185137","type":"journal-article","created":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T09:01:09Z","timestamp":1599642069000},"page":"5137","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Image Enhancement of Computational Reconstruction in Diffraction Grating Imaging Using Multiple Parallax Image Arrays"],"prefix":"10.3390","volume":"20","author":[{"given":"Jae-Young","family":"Jang","sequence":"first","affiliation":[{"name":"Department of Optometry, Eulji University, 553, Sanseong-daero, Sujeong-gu, Seongnam-si, Gyonggi-do 13135, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5919-1989","authenticated-orcid":false,"given":"Hoon","family":"Yoo","sequence":"additional","affiliation":[{"name":"Department of Electronics Engineering, Sangmyung University, 20 Hongjimoon-2gil, Jongno-gu, Seoul 03015, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1109\/JPROC.2010.2090114","article-title":"Three-dimensional optical sensing and visualization using integral imaging","volume":"99","author":"Cho","year":"2011","journal-title":"Proc. IEEE J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"546","DOI":"10.1364\/AO.52.000546","article-title":"Advances in three-dimensional integral imaging: Sensing, display, and applications [Invited]","volume":"52","author":"Xiao","year":"2013","journal-title":"Appl. Opt."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1080\/15980316.2013.867906","article-title":"Recent issues on integral imaging and its applications","volume":"15","author":"Park","year":"2014","journal-title":"J. Inf. Disp."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.optlaseng.2014.08.015","article-title":"Improved depth extraction method of 3D objects using computational integral imaging reconstruction based on multiple windowing techniques","volume":"66","author":"Yoo","year":"2015","journal-title":"Opt. Lasers Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.optlaseng.2015.07.007","article-title":"Three-dimensional visualization of objects in scattering medium using integral imaging and spectral analysis","volume":"77","author":"Lee","year":"2016","journal-title":"Opt. Lasers Eng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1364\/OL.32.001078","article-title":"Facet braiding: A fundamental problem in integral imaging","volume":"32","author":"Saavedra","year":"2007","journal-title":"Opt. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"12039","DOI":"10.1364\/OE.15.012039","article-title":"Image quality enhancement in 3D computational integral imaging by use of interpolation methods","volume":"15","author":"Shin","year":"2007","journal-title":"Opt. Express"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1016\/j.optlaseng.2009.05.007","article-title":"Robust image encryption by combined use of integral imaging and pixel scrambling techniques","volume":"47","author":"Piao","year":"2009","journal-title":"Opt. Lasers Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.optlaseng.2017.04.015","article-title":"Intermediate elemental image reconstruction for refocused three-dimensional images in integral imaging by convolution with \u03b4-function sequences","volume":"97","author":"Yoo","year":"2017","journal-title":"Opt. Lasers Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"8016","DOI":"10.1143\/JJAP.44.8016","article-title":"Computational reconstruction of three-dimensional objects in integral imaging using lenslet array","volume":"44","author":"Shin","year":"2005","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1711","DOI":"10.1364\/JOSAA.34.001711","article-title":"Computational integral field spectroscopy with diverse imaging","volume":"34","author":"Baranski","year":"2017","journal-title":"J. Opt. Soc. Am. A"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"8873","DOI":"10.1364\/OE.21.008873","article-title":"Axially moving a lenslet array for high-resolution 3D images in computational integral imaging","volume":"21","author":"Yoo","year":"2013","journal-title":"Opt. Express"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2429","DOI":"10.1364\/AO.49.002429","article-title":"Applicability of diffraction grating to parallax image array generation in integral imaging","volume":"49","author":"Ser","year":"2010","journal-title":"Appl. Opt."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1835","DOI":"10.1364\/OL.38.001835","article-title":"Wave-optical analysis of parallax-image generation based on multiple diffraction gratings","volume":"38","author":"Jang","year":"2013","journal-title":"Opt. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"27820","DOI":"10.1364\/OE.27.027820","article-title":"Computational reconstruction for three-dimensional imaging via a diffraction grating","volume":"27","author":"Jang","year":"2019","journal-title":"Opt. Express"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"163826","DOI":"10.1016\/j.ijleo.2019.163826","article-title":"Analysis of imaging characteristics of parallax images in double diffraction grating imaging","volume":"207","author":"Yoo","year":"2020","journal-title":"Optik"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Huijts, J., Fernandez, S., Gauthier, D., Kholodtsova, M., Maghraoui, A., Medjoubi, K., Somogyi, A., Boutu, W., and Merdji, H. (2020). Broadband coherent diffractive imaging. Nat. Photonics.","DOI":"10.1038\/s41566-020-0660-7"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1364\/OPTICA.394413","article-title":"Learned rotationally symmetric diffractive achromat for full-spectrum computational imaging","volume":"7","author":"Dun","year":"2020","journal-title":"Optica"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.ijleo.2004.12.004","article-title":"Reduction of speckle noise in digital holography by using digital image processing","volume":"116","author":"Prieto","year":"2005","journal-title":"Optik"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"121714","DOI":"10.1117\/1.OE.55.12.121714","article-title":"Speckle noise reduction in digital holography by slightly rotating the object","volume":"55","year":"2016","journal-title":"Opt. Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"106151","DOI":"10.1016\/j.optlaseng.2020.106151","article-title":"Speckle noise reduction in coherent imaging based on deep learning without clean data","volume":"133","author":"Yin","year":"2020","journal-title":"Opt. Lasers Eng."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1533","DOI":"10.1364\/OE.22.001533","article-title":"Optical three-dimensional refocusing from elemental images based on a sifting property of the periodic \u03b4-function array in integral-imaging","volume":"22","author":"Jang","year":"2014","journal-title":"Opt. 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