{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T17:56:22Z","timestamp":1767117382552,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2022,9,28]],"date-time":"2022-09-28T00:00:00Z","timestamp":1664323200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of the Jilin province of China","award":["YDZJ202201ZYTS419","61903048"],"award-info":[{"award-number":["YDZJ202201ZYTS419","61903048"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["YDZJ202201ZYTS419","61903048"],"award-info":[{"award-number":["YDZJ202201ZYTS419","61903048"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In response to the problem of the small field of vision in 3D reconstruction, a 3D reconstruction system based on a catadioptric camera and projector was built by introducing a traditional camera to calibrate the catadioptric camera and projector system. Firstly, the intrinsic parameters of the camera and the traditional camera are calibrated separately. Then, the calibration of the projection system is accomplished by the traditional camera. Secondly, the coordinate system is introduced to calculate, respectively, the position of the catadioptric camera and projector in the coordinate system, and the position relationship between the coordinate systems of the catadioptric camera and the projector is obtained. Finally, the projector is used to project the structured light fringe to realize the reconstruction using a catadioptric camera. The experimental results show that the reconstruction error is 0.75 mm and the relative error is 0.0068 for a target of about 1 m. The calibration method and reconstruction method proposed in this paper can guarantee the ideal geometric reconstruction accuracy.<\/jats:p>","DOI":"10.3390\/s22197385","type":"journal-article","created":{"date-parts":[[2022,9,29]],"date-time":"2022-09-29T01:23:16Z","timestamp":1664414596000},"page":"7385","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Calibration of a Catadioptric System and 3D Reconstruction Based on Surface Structured Light"],"prefix":"10.3390","volume":"22","author":[{"given":"Zhenghai","family":"Lu","sequence":"first","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaowen","family":"Lv","sequence":"additional","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4162-8625","authenticated-orcid":false,"given":"Zhiqing","family":"Ai","sequence":"additional","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ke","family":"Suo","sequence":"additional","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuanrui","family":"Gong","sequence":"additional","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuxuan","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,28]]},"reference":[{"key":"ref_1","first-page":"2279","article-title":"Miniaturized omnidirectional flexible side-view endoscope for rapid monitoring of thin tubular biostructures","volume":"5","author":"Paulson","year":"2019","journal-title":"Biomed. Opt. Express"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"794","DOI":"10.3389\/fbioe.2020.00794","article-title":"Reconstruction of panoramic dental images through bezier function optimization","volume":"8","author":"Amorim","year":"2020","journal-title":"Front. Bioeng. Biotechnol."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1109\/JBHI.2021.3117575","article-title":"Tufts Dental Database: A Multimodal Panoramic X-ray Dataset for Benchmarking Diagnostic Systems","volume":"26","author":"Panetta","year":"2022","journal-title":"IEEE J. Biomed. Health Inform."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Liu, S.Y., and Guo, P. (2019). Accurate and Robust Monocular SLAM with Omnidirectional Cameras. Sensors, 19.","DOI":"10.3390\/s19204494"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"5813","DOI":"10.1364\/AO.459644","article-title":"Design method of a wide-angle AR display with a single-layer two-dimensional pupil expansion geometrical waveguide","volume":"61","author":"Cheng","year":"2022","journal-title":"Appl. Opt."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"6584","DOI":"10.1364\/OE.452747","article-title":"Optical design and pupil swim analysis of a compact, large EPD and immersive VR head mounted display","volume":"5","author":"Cheng","year":"2022","journal-title":"Opt. Express"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"124346","DOI":"10.1016\/j.optcom.2019.124346","article-title":"Design of a compact dual-view endoscope based on a hybrid lens with annularly stitched aspheres","volume":"453","author":"Chen","year":"2019","journal-title":"Opt. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"6011","DOI":"10.1364\/OE.419595","article-title":"Broadband cholesteric liquid crystal lens for chromatic aberration correction in catadioptric virtual reality optics","volume":"29","author":"Li","year":"2021","journal-title":"Opt. Express"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2275","DOI":"10.1364\/AO.454723","article-title":"Synchronous measurement method of a multi-angle scattered light field","volume":"61","author":"Zou","year":"2021","journal-title":"Appl. Opt."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"18670","DOI":"10.1109\/JSEN.2021.3088840","article-title":"A Novel Mirrored Binocular Vision Sensor Based on Spherical Catadioptric Mirrors","volume":"21","author":"Chen","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.optlaseng.2018.03.004","article-title":"Structured light stereo catadioptric scanner based on a spherical mirror","volume":"107","author":"Barone","year":"2018","journal-title":"Opt. Lasers Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"162854","DOI":"10.1016\/j.ijleo.2019.05.060","article-title":"Mobile visual detecting system with a catadioptric vision sensor in pipeline","volume":"193","author":"Chen","year":"2019","journal-title":"Optik"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.cviu.2019.02.003","article-title":"Image rectification for prism-based stereoscopic optical systems","volume":"182","author":"Kuznetsov","year":"2019","journal-title":"Comput. Vis. Image Underst."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Lin, H.Y., and Chung, Y.C. (2021). Self-localization of mobile robots using a single catadioptric camera with line feature extraction. Sensors, 21.","DOI":"10.3390\/s21144719"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Guo, X.D., and Wang, Z.B. (2021). Research on design, calibration and real-time image expansion technology of unmanned system variable-scale panoramic vision system. Sensors, 14.","DOI":"10.3390\/s21144708"},{"key":"ref_16","unstructured":"(2021, September 08). Active Vision Group. Available online: https:\/\/www.robots.ox.ac.uk\/~cmei\/Toolbox.html."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Gao, Y., and Zhao, Y.Y. (2021). A Projector-Based Augmented Reality Navigation System for Computer-Assisted Surgery. Sensors, 9.","DOI":"10.3390\/s21092931"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"15053","DOI":"10.1364\/OE.424537","article-title":"High-accuracy projector calibration method for fringe projection profilometry considering perspective transformation","volume":"29","author":"Jin","year":"2021","journal-title":"Opt. Express"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4369","DOI":"10.1109\/TIP.2016.2590304","article-title":"Scene depth perception based on omnidirectional structured light","volume":"9","author":"Jia","year":"2016","journal-title":"IEEE Trans. Image Process."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Cordova-Esparza, D.M., and Terven, J. (2020). Three-dimensional reconstruction of indoor and outdoor environments using a stereo catadioptric system. Appl. Sci., 10.","DOI":"10.3390\/app10248851"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2674","DOI":"10.1364\/AO.381149","article-title":"Complete grid pattern decoding method for a one-shot structured light system","volume":"59","author":"Minhtuan","year":"2020","journal-title":"Appl. Opt."},{"key":"ref_22","first-page":"139","article-title":"Phase-shift extraction and wave reconstruction in four-step phase-shifting interferometry","volume":"38","author":"Zhang","year":"2011","journal-title":"Opto-Electron. Eng."},{"key":"ref_23","first-page":"4","article-title":"Error self-correction method for phase jump in multifrequency phase-shifting structured light","volume":"60","author":"Li","year":"2021","journal-title":"Appl. Opt."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Mei, C., and Rives, P. (2007, January 10\u201314). Single View Point Omnidirectional Camera Calibration from Planar Grids. Proceedings of the 2007 IEEE International Conference on Robotics and Automation, Roma, Italy.","DOI":"10.1109\/ROBOT.2007.364084"},{"key":"ref_25","unstructured":"Grossberg, M.D., and Nayar, S.K. (2001, January 7\u201314). A general imaging model and a method for finding its parameters. Proceedings of the Eighth IEEE International Conference on Computer Vision, Vancouver, BC, Canada."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Kimura, M., and Mochimaru, M. (2007, January 17\u201322). Projector Calibration using Arbitrary Planes and Calibrated Camera. Proceedings of the 2007 IEEE Conference on Computer Vision & Pattern Recognition, Minneapolis, MN, USA.","DOI":"10.1109\/CVPR.2007.383477"},{"key":"ref_27","first-page":"1","article-title":"Plane-based calibration of a projector-camera system","volume":"1","author":"Falcao","year":"2008","journal-title":"VIBOT"},{"key":"ref_28","unstructured":"(2021, October 11). Procamcalib. Available online: https:\/\/code.google.com\/archive\/p\/procamcalib\/."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"7285","DOI":"10.3233\/JIFS-189554","article-title":"Space reconstruction of audiovisual media based on artificial intelligence and virtual reality","volume":"40","author":"Zhao","year":"2021","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"11075","DOI":"10.1109\/JSEN.2021.3061146","article-title":"Single-shot depth sensing with pseudo two-dimensional sequence coded discrete binary pattern","volume":"21","author":"Li","year":"2021","journal-title":"IEEE Sens. J."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1109\/TASE.2013.2293576","article-title":"A robust surface coding method for optically challenging objects using structured light","volume":"11","author":"Zhang","year":"2014","journal-title":"IEEE Trans. Autom. Sci. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1109\/TVCG.2008.97","article-title":"An adaptive correspondence algorithm for modeling scenes with strong interreflections","volume":"15","author":"Xu","year":"2009","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"106259","DOI":"10.1016\/j.optlaseng.2020.106259","article-title":"Depth perception based on monochromatic shape encode-decode structured light method","volume":"134","author":"Jia","year":"2020","journal-title":"Opt. Lasers Eng."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.optlaseng.2018.09.008","article-title":"Optical image authentication scheme using dual polarization decoding configuration","volume":"112","author":"Wang","year":"2019","journal-title":"Opt. Lasers Eng."},{"key":"ref_35","first-page":"106","article-title":"Fringe projection profilometry for panoramic 3d reconstruction","volume":"5","year":"2016","journal-title":"Opt. Lasers Eng."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/19\/7385\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:41:25Z","timestamp":1760143285000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/19\/7385"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,28]]},"references-count":35,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2022,10]]}},"alternative-id":["s22197385"],"URL":"https:\/\/doi.org\/10.3390\/s22197385","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2022,9,28]]}}}