{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:13:19Z","timestamp":1760145199642,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T00:00:00Z","timestamp":1718928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National key research and development program of china","doi-asserted-by":"publisher","award":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"],"award-info":[{"award-number":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"University key research project of Anhui province","award":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"],"award-info":[{"award-number":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"]}]},{"name":"Guangdong basic and applied basic research foundation","award":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"],"award-info":[{"award-number":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"]}]},{"name":"Outstanding Scientist Cultivation Project of Beijing Academy of Agriculture and Forestry Sciences","award":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"],"award-info":[{"award-number":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"]}]},{"name":"Excellent Research and Innovation Team of Universities at Anhui Province","award":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"],"award-info":[{"award-number":["2019YFE0107400","2022AH050597","2020A1515110829","JKZX202405","2023AH010008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>By applying a high projection rate, the binary defocusing technique can dramatically increase 3D imaging speed. However, existing methods are sensitive to the varied defocusing degree, and have limited depth of field (DoF). To this end, a time\u2013domain Gaussian fitting method is proposed in this paper. The concept of a time\u2013domain Gaussian curve is firstly put forward, and the procedure of determining projector coordinates with a time\u2013domain Gaussian curve is illustrated in detail. The neural network technique is applied to rapidly compute peak positions of time-domain Gaussian curves. Relying on the computing power of the neural network, the proposed method can reduce the computing time greatly. The binary defocusing technique can be combined with the neural network, and fast 3D profilometry with a large depth of field is achieved. Moreover, because the time\u2013domain Gaussian curve is extracted from individual image pixel, it will not deform according to a complex surface, so the proposed method is also suitable for measuring a complex surface. It is demonstrated by the experiment results that our proposed method can extends the system DoF by five times, and both the data acquisition time and computing time can be reduced to less than 35 ms.<\/jats:p>","DOI":"10.3390\/s24134037","type":"journal-article","created":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T08:50:08Z","timestamp":1718959808000},"page":"4037","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fast Three-Dimensional Profilometry with Large Depth of Field"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6473-0254","authenticated-orcid":false,"given":"Wei","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Computer Technology and Science, Anhui University of Finance and Economics, Bengbu 233030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiongguang","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Intelligent Manufacturing, Foshan Polytechnic, Foshan 528137, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Han","sequence":"additional","affiliation":[{"name":"Department of Computer Technology and Science, Anhui University of Finance and Economics, Bengbu 233030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manru","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Computer Technology and Science, Anhui University of Finance and Economics, Bengbu 233030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7856-9131","authenticated-orcid":false,"given":"Jiangbo","family":"Li","sequence":"additional","affiliation":[{"name":"Intelligent Equipment Research Center, Beijing Academy of Agriculture and Forestry Sciences, Beijing 100097, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"109467","DOI":"10.1016\/j.ymssp.2022.109467","article-title":"Vision-based fringe projection measurement system for radial vibration monitoring of rotating shafts","volume":"181","author":"Zhong","year":"2022","journal-title":"Mech. 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