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.

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Publication Details

Journal
Optics Letters
Published
2025-09-12
DOI
https://doi.org/10.1364/ol.570034
Citations
1
Primary Topic
Optical measurement and interference techniques
Type
article
Field-Weighted Citation Impact
1.28
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Geometrical projection identity-based 3D reconstruction for fringe projection profilometry

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Geometrical projection identity-based 3D reconstruction for fringe projection profilometry

N. K. Huang, Chuanhui Liu, Qian Kemao, Yanlin Zou, Yongyao Su, Shu-Qing Lv
article en
1 citations

Abstract

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.

Optics LettersVol. 50(20)
Nanyang Technological University (SG), Anhui Medical University (CN)
Openalex Percentile: Top 15%
Optical measurement and interference techniques
1.28
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