{"title":"透射偏转法和希尔伯特变换三维测量的研究","authors":"Silin Na, Younghun Yu","doi":"10.3807/KJOP.2016.27.2.061","DOIUrl":null,"url":null,"abstract":"We used transmission deflectometry to measure the three-dimensional shapes of optical components, and we used the Hilbert transform to retrieve the phases from measured deformed fringe images. Deflectometry is useful for measuring large-scale samples, and specular samples. We have retrieved the phases from deformed fringe images and Hilbert-transformed images, and have used the least-squares method to find the height information. We have verified that phase retrieval using Hilbert transform is useful by computer simulation and experiment.Keywords: Deflrctometry, Phase measuring deflectometry, Hilbert transformOCIS codes: (120.0120) Instrumentation, measurement, and metrology; (120.2650) Fringe analysis; (120.3940) Metrology","PeriodicalId":42467,"journal":{"name":"Korean Journal of Optics and Photonics","volume":"27 1","pages":"61-66"},"PeriodicalIF":0.1000,"publicationDate":"2016-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Study of Three-Dimensional Measurement By Transmission Deflectometry and Hilbert Transform\",\"authors\":\"Silin Na, Younghun Yu\",\"doi\":\"10.3807/KJOP.2016.27.2.061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We used transmission deflectometry to measure the three-dimensional shapes of optical components, and we used the Hilbert transform to retrieve the phases from measured deformed fringe images. Deflectometry is useful for measuring large-scale samples, and specular samples. We have retrieved the phases from deformed fringe images and Hilbert-transformed images, and have used the least-squares method to find the height information. We have verified that phase retrieval using Hilbert transform is useful by computer simulation and experiment.Keywords: Deflrctometry, Phase measuring deflectometry, Hilbert transformOCIS codes: (120.0120) Instrumentation, measurement, and metrology; (120.2650) Fringe analysis; (120.3940) Metrology\",\"PeriodicalId\":42467,\"journal\":{\"name\":\"Korean Journal of Optics and Photonics\",\"volume\":\"27 1\",\"pages\":\"61-66\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2016-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Korean Journal of Optics and Photonics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3807/KJOP.2016.27.2.061\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Korean Journal of Optics and Photonics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3807/KJOP.2016.27.2.061","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPTICS","Score":null,"Total":0}
A Study of Three-Dimensional Measurement By Transmission Deflectometry and Hilbert Transform
We used transmission deflectometry to measure the three-dimensional shapes of optical components, and we used the Hilbert transform to retrieve the phases from measured deformed fringe images. Deflectometry is useful for measuring large-scale samples, and specular samples. We have retrieved the phases from deformed fringe images and Hilbert-transformed images, and have used the least-squares method to find the height information. We have verified that phase retrieval using Hilbert transform is useful by computer simulation and experiment.Keywords: Deflrctometry, Phase measuring deflectometry, Hilbert transformOCIS codes: (120.0120) Instrumentation, measurement, and metrology; (120.2650) Fringe analysis; (120.3940) Metrology
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