{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T04:16:17Z","timestamp":1784175377844,"version":"3.55.0"},"reference-count":15,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2015,10,20]],"date-time":"2015-10-20T00:00:00Z","timestamp":1445299200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61171048 61311130138"],"award-info":[{"award-number":["61171048 61311130138"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004602","name":"Program for New Century Excellent Talents in University","doi-asserted-by":"publisher","award":["NCET-11-0932"],"award-info":[{"award-number":["NCET-11-0932"]}],"id":[{"id":"10.13039\/501100004602","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013286","name":"Specialized Research Fund for the Doctoral Program of Higher Education","doi-asserted-by":"publisher","award":["20111317120002"],"award-info":[{"award-number":["20111317120002"]}],"id":[{"id":"10.13039\/501100013286","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Basic Research Project of Applied Basic Research Programs Supported by Hebei Province","award":["15961701D"],"award-info":[{"award-number":["15961701D"]}]},{"name":"Research Project for High-level Talents in Hebei University","award":["GCC2014049"],"award-info":[{"award-number":["GCC2014049"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In structure light measurement systems or 3D printing systems, the errors caused by optical distortion of a digital projector always affect the precision performance and cannot be ignored. Existing methods to calibrate the projection distortion rely on calibration plate and photogrammetry, so the calibration performance is largely affected by the quality of the plate and the imaging system. This paper proposes a new projector calibration approach that makes use of photodiodes to directly detect the light emitted from a digital projector. By analyzing the output sequence of the photoelectric module, the pixel coordinates can be accurately obtained by the curve fitting method. A polynomial distortion representation is employed to reduce the residuals of the traditional distortion representation model. Experimental results and performance evaluation show that the proposed calibration method is able to avoid most of the disadvantages in traditional methods and achieves a higher accuracy. This proposed method is also practically applicable to evaluate the geometric optical performance of other optical projection system.<\/jats:p>","DOI":"10.3390\/s151026567","type":"journal-article","created":{"date-parts":[[2015,10,20]],"date-time":"2015-10-20T16:21:51Z","timestamp":1445358111000},"page":"26567-26582","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["An Accurate Projector Calibration Method Based on Polynomial Distortion Representation"],"prefix":"10.3390","volume":"15","author":[{"given":"Miao","family":"Liu","sequence":"first","affiliation":[{"name":"State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Changku","family":"Sun","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shujun","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6645-6647","authenticated-orcid":false,"given":"Zonghua","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,10,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1016\/j.optlaseng.2012.01.007","article-title":"Review of single-shot 3D shape measurement by phase calculation-based fringe projection techniques","volume":"50","author":"Zhang","year":"2012","journal-title":"Opt. Lasers Eng."},{"key":"ref_2","unstructured":"Cheng, Y., Li, M., Lin, J., Lai, J., Ke, C., and Huang, Y. Development of dynamic mask photolithography system. Proceedings of the IEEE International Conference on Mechatronics, Taipei, Taiwan."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s12541-012-0017-3","article-title":"Projector calibration for 3D scanning using virtual target images","volume":"13","author":"Anwar","year":"2012","journal-title":"Int. J. Precis. Eng. Manuf."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1364\/AO.54.000347","article-title":"Accurate projector calibration based on a new point-to-point mapping relationship between the camera and projector images","volume":"54","author":"Huang","year":"2015","journal-title":"Appl. Opt."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Zhang, S., and Huang, P.S. (2006). Novel method for structured light system calibration. Opt. 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Proceedings of the Applied Optics and Photonics, Beijing, China."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/10\/26567\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:50:26Z","timestamp":1760215826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/10\/26567"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,20]]},"references-count":15,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2015,10]]}},"alternative-id":["s151026567"],"URL":"https:\/\/doi.org\/10.3390\/s151026567","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,20]]}}}