{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T06:38:10Z","timestamp":1785220690617,"version":"3.55.0"},"reference-count":38,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,11,23]],"date-time":"2019-11-23T00:00:00Z","timestamp":1574467200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004826","name":"Natural Science Foundation of Beijing Municipality","doi-asserted-by":"publisher","award":["4184098"],"award-info":[{"award-number":["4184098"]}],"id":[{"id":"10.13039\/501100004826","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61801022"],"award-info":[{"award-number":["61801022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2016YFE0131500"],"award-info":[{"award-number":["2016YFE0131500"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Civil Space Project of China","award":["D040301"],"award-info":[{"award-number":["D040301"]}]},{"name":"International Science and Technology Cooperation Special Project of Beijing Institute of Technology","award":["GZ2018185101"],"award-info":[{"award-number":["GZ2018185101"]}]},{"name":"Beijing Excellent Talents Cultivation Project - Youth Backbone Individual Project","award":["none"],"award-info":[{"award-number":["none"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Single-pixel compressive imaging can recover images from fewer measurements, offering many benefits especially for the imaging modalities where array detection is unavailable. However, the widely used random projections fail to explore internal relations between coding patterns and image reconstruction. Here, we propose a single-pixel imaging method based on a deterministic origami pattern construction that can lead to a more accurate pattern ordering sequence and better imaging quality. It can decrease the sampling ratio, closer to the upper bounds. The experimental realization of this approach is a big step forward towards practical applications.<\/jats:p>","DOI":"10.3390\/s19235135","type":"journal-article","created":{"date-parts":[[2019,11,25]],"date-time":"2019-11-25T03:10:00Z","timestamp":1574651400000},"page":"5135","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":48,"title":["Single-Pixel Imaging with Origami Pattern Construction"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9481-2389","authenticated-orcid":false,"given":"Wen-Kai","family":"Yu","sequence":"first","affiliation":[{"name":"Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education, School of Physics, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi-Ming","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Physics, Beijing Normal University, Beijing 100875, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.optcom.2017.06.058","article-title":"Efficient phase retrieval based on dark fringe extraction and phase pattern construction with a good anti-noise capability","volume":"402","author":"Yu","year":"2017","journal-title":"Opt. Commun."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1038\/s41566-018-0300-7","article-title":"Principles and prospects for single-pixel imaging","volume":"13","author":"Edgar","year":"2019","journal-title":"Nat. Photonics"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"24752","DOI":"10.1038\/srep24752","article-title":"Multispectral imaging using a single bucket detector","volume":"6","author":"Bian","year":"2016","journal-title":"Sci. Rep."},{"key":"ref_4","first-page":"7225","article-title":"Single-pixel imaging by means of Fourier spectrum acquisition","volume":"6","author":"Zhang","year":"2015","journal-title":"Nat. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1392","DOI":"10.1364\/AO.9.001392","article-title":"Hadamard-transform image scanning","volume":"9","author":"Decker","year":"1970","journal-title":"Appl. Opt."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1364\/OPTICA.3.000026","article-title":"Single-pixel optical camera for video rate ultrasonic imaging","volume":"3","author":"Huynh","year":"2016","journal-title":"Optica"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"12010","DOI":"10.1038\/ncomms12010","article-title":"Single-pixel three dimensional imaging with time-based depth resolution","volume":"7","author":"Sun","year":"2016","journal-title":"Nat. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3600","DOI":"10.1103\/PhysRevLett.74.3600","article-title":"Observation of two-photon \u201cghost\u201d interference and diffraction","volume":"74","author":"Strekalov","year":"1995","journal-title":"Phys. Rev. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"183602","DOI":"10.1103\/PhysRevLett.94.183602","article-title":"High-resolution ghost image and ghost diffraction experiments with thermal light","volume":"94","author":"Ferri","year":"2005","journal-title":"Phys. Rev. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"173601","DOI":"10.1103\/PhysRevLett.94.173601","article-title":"Experimental observation of classical subwavelength interference with a pseudothermal light source","volume":"94","author":"Xiong","year":"2005","journal-title":"Phys. Rev. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"061802","DOI":"10.1103\/PhysRevA.78.061802","article-title":"Computational ghost imaging","volume":"78","author":"Shapiro","year":"2008","journal-title":"Phys. Rev. A"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"7133","DOI":"10.1364\/OE.22.007133","article-title":"Adaptive compressive ghost imaging based on wavelet trees and sparse representation","volume":"22","author":"Yu","year":"2014","journal-title":"Opt. Express"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"031110","DOI":"10.1063\/1.4994662","article-title":"Computational ghost imaging of hot objects in long-wave infrared range","volume":"111","author":"Liu","year":"2017","journal-title":"Appl. Phys. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1109\/MSP.2007.914730","article-title":"Single-pixel imaging via compressive sampling","volume":"25","author":"Duarte","year":"2008","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed sensing","volume":"52","author":"Donoho","year":"2006","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref_16","unstructured":"Cand\u00e8s, E.J. (2006). Compressive sampling. Proceedings International Congress of Mathematicians, European Mathematical Society."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"9446","DOI":"10.1073\/pnas.0502269102","article-title":"Sparse nonnegative solutions of underdetermined linear equations by linear programming","volume":"102","author":"Donoho","year":"2005","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"8405","DOI":"10.1073\/pnas.1306110110","article-title":"The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising","volume":"110","author":"Donoho","year":"2013","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1007\/s00454-005-1220-0","article-title":"High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension","volume":"35","author":"Donoho","year":"2006","journal-title":"Discret. Comput. Geom."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1002\/cpa.20227","article-title":"On sparse reconstruction from Fourier and Gaussian measurements","volume":"61","author":"Rudelson","year":"2008","journal-title":"Commun. Pure Appl. Math."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3464","DOI":"10.1038\/s41598-017-03725-6","article-title":"A Russian dolls ordering of the Hadamard basis for compressive single-pixel imaging","volume":"7","author":"Sun","year":"2017","journal-title":"Sci. Rep."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1063\/1.3635866","article-title":"Two-photon imaging with entangled and thermal light","volume":"1384","author":"Wu","year":"2011","journal-title":"AIP Conf. Proc."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"74216","DOI":"10.1088\/0256-307X\/29\/7\/074216","article-title":"Nonlocal imaging by conditional averaging of random reference measurements","volume":"29","author":"Luo","year":"2012","journal-title":"Chin. Phys. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"131114","DOI":"10.1063\/1.3698158","article-title":"Positive-negative turbulence-free ghost imaging","volume":"100","author":"Meyers","year":"2012","journal-title":"Appl. Phys. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"054203","DOI":"10.1088\/1674-1056\/24\/5\/054203","article-title":"Ghost imaging based on Pearson correlation coefficients","volume":"24","author":"Yu","year":"2015","journal-title":"Chin. Phys. B"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"7494","DOI":"10.1364\/AO.54.007494","article-title":"Nonlocal imaging of a reflective object using positive and negative correlations","volume":"54","author":"Sun","year":"2015","journal-title":"Appl. Opt."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"087006","DOI":"10.1117\/1.3206733","article-title":"Video compressive sensing using spatial domain sparsity","volume":"48","author":"Zheng","year":"2009","journal-title":"Opt. Eng."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Paces, P., Yu, W.-K., and Klesa, J. (2018, January 23\u201327). Optical measurement methods for attitude determination of unmanned aerial systems. Proceedings of the IEEE\/AIAA 37th Digital Avionics Systems Conference, London, UK.","DOI":"10.1109\/DASC.2018.8569298"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"053853","DOI":"10.1103\/PhysRevA.98.053853","article-title":"Probability theory in conditional-averaging ghost imaging with thermal light","volume":"98","author":"Yang","year":"2018","journal-title":"Phys. Rev. A"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"253603","DOI":"10.1103\/PhysRevLett.104.253603","article-title":"Differential ghost imaging","volume":"104","author":"Ferri","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"5862","DOI":"10.1109\/TIT.2010.2070191","article-title":"Toeplitz compressed sensing matrices with applications to sparse channel estimation","volume":"56","author":"Haupt","year":"2010","journal-title":"IEEE T. Inform. Theory"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1016\/j.jco.2007.04.002","article-title":"Deterministic constructions of compressed sensing matrices","volume":"23","author":"DeVore","year":"2007","journal-title":"J. Complex."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1206","DOI":"10.1364\/OE.26.001206","article-title":"Snapshot compressive imaging using aberrations","volume":"26","author":"Vera","year":"2018","journal-title":"Opt. Express"},{"key":"ref_34","unstructured":"Li, C.B. (2010). An Efficient Algorithm for Total Variation Regularization with Applications to the Single Pixel Camera and Compressive Sensing. [Master\u2019s Thesis, Rice University]."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"5834","DOI":"10.1038\/srep05834","article-title":"Complementary compressive imaging for the telescopic system","volume":"4","author":"Yu","year":"2014","journal-title":"Sci. Rep."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1364\/AO.54.000363","article-title":"Three-dimensional single-pixel compressive reflectivity imaging based on complementary modulation","volume":"54","author":"Yu","year":"2015","journal-title":"Appl. Opt."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.optcom.2016.03.067","article-title":"Compressive microscopic imaging with \u201cpositive-negative\u201d light modulation","volume":"371","author":"Yu","year":"2016","journal-title":"Opt. Commun."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"22499","DOI":"10.1364\/OE.27.022499","article-title":"Scan efficiency of structured illumination in iterative single pixel imaging","volume":"27","author":"Jiang","year":"2019","journal-title":"Opt. 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