{"title":"基于几何投影身份的条纹投影轮廓三维重建。","authors":"Shenzhen Lv, Yuxuan Zou, Nengqi Huang, Chengeng Liu, Yong Su, Kemao Qian","doi":"10.1364/OL.570034","DOIUrl":null,"url":null,"abstract":"<p><p>This Letter reveals two special geometric points and a geometric projection identity (GPI) within an FPP system, thereby providing new 3D reconstruction equations for four common methods (Ver3, Hor3, OptE3, and HorVer4). We prove that the GPI-based and the traditional reconstruction frameworks are equivalent, but the former enables much faster point cloud computation and effective analysis of precision for metrology.</p>","PeriodicalId":19540,"journal":{"name":"Optics letters","volume":"50 20","pages":"6429-6432"},"PeriodicalIF":3.3000,"publicationDate":"2025-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometrical projection identity-based 3D reconstruction for fringe projection profilometry.\",\"authors\":\"Shenzhen Lv, Yuxuan Zou, Nengqi Huang, Chengeng Liu, Yong Su, Kemao Qian\",\"doi\":\"10.1364/OL.570034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This Letter reveals two special geometric points and a geometric projection identity (GPI) within an FPP system, thereby providing new 3D reconstruction equations for four common methods (Ver3, Hor3, OptE3, and HorVer4). We prove that the GPI-based and the traditional reconstruction frameworks are equivalent, but the former enables much faster point cloud computation and effective analysis of precision for metrology.</p>\",\"PeriodicalId\":19540,\"journal\":{\"name\":\"Optics letters\",\"volume\":\"50 20\",\"pages\":\"6429-6432\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2025-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1364/OL.570034\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1364/OL.570034","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
Geometrical projection identity-based 3D reconstruction for fringe projection profilometry.
This Letter reveals two special geometric points and a geometric projection identity (GPI) within an FPP system, thereby providing new 3D reconstruction equations for four common methods (Ver3, Hor3, OptE3, and HorVer4). We prove that the GPI-based and the traditional reconstruction frameworks are equivalent, but the former enables much faster point cloud computation and effective analysis of precision for metrology.
期刊介绍:
The Optical Society (OSA) publishes high-quality, peer-reviewed articles in its portfolio of journals, which serve the full breadth of the optics and photonics community.
Optics Letters offers rapid dissemination of new results in all areas of optics with short, original, peer-reviewed communications. Optics Letters covers the latest research in optical science, including optical measurements, optical components and devices, atmospheric optics, biomedical optics, Fourier optics, integrated optics, optical processing, optoelectronics, lasers, nonlinear optics, optical storage and holography, optical coherence, polarization, quantum electronics, ultrafast optical phenomena, photonic crystals, and fiber optics. Criteria used in determining acceptability of contributions include newsworthiness to a substantial part of the optics community and the effect of rapid publication on the research of others. This journal, published twice each month, is where readers look for the latest discoveries in optics.