Modeling the measurement precision of fringe projection profilometry
Three-dimensional (3D) surface geometry provides elemental information in various sciences and precision engineering. Fringe Projection Profilometry (FPP) is one of the most powerful non-contact (thus non-destructive) and non-interferometric (thus less restrictive) 3D measurement techniques, featuri...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/173057 |
| _version_ | 1811693770425499648 |
|---|---|
| author | Lv, Shenzhen Kemao, Qian |
| author2 | School of Computer Science and Engineering |
| author_facet | School of Computer Science and Engineering Lv, Shenzhen Kemao, Qian |
| author_sort | Lv, Shenzhen |
| collection | NTU |
| description | Three-dimensional (3D) surface geometry provides elemental information in various sciences and precision engineering. Fringe Projection Profilometry (FPP) is one of the most powerful non-contact (thus non-destructive) and non-interferometric (thus less restrictive) 3D measurement techniques, featuring at its high precision. However, the measurement precision of FPP is currently evaluated experimentally, lacking a complete theoretical model for guidance. We propose the first complete FPP precision model chain including four stage models (camera intensity, fringe intensity, phase and 3D geometry) and two transfer models (from fringe intensity to phase and from phase to 3D geometry). The most significant contributions include the adoption of a non-Gaussian camera noise model, which, for the first time, establishes the connection between camera's electronics parameters (known in advance from the camera manufacturer) and the phase precision, and the formulation of the phase to geometry transfer, which makes the precision of the measured geometry representable in an explicit and concise form. As a result, we not only establish the full precision model of the 3D geometry to characterize the performance of an FPP system that has already been set up, but also explore the expression of the highest possible precision limit to guide the error distribution of an FPP system that is yet to build. Our theoretical models make FPP a more designable technique to meet the challenges from various measurement demands concerning different object sizes from macro to micro and requiring different measurement precisions from a few millimeters to a few micrometers. |
| first_indexed | 2024-10-01T06:56:58Z |
| format | Journal Article |
| id | ntu-10356/173057 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:56:58Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1730572024-01-12T15:37:07Z Modeling the measurement precision of fringe projection profilometry Lv, Shenzhen Kemao, Qian School of Computer Science and Engineering Engineering::Computer science and engineering Fringe Projection Profilometry Three-dimensional (3D) surface geometry provides elemental information in various sciences and precision engineering. Fringe Projection Profilometry (FPP) is one of the most powerful non-contact (thus non-destructive) and non-interferometric (thus less restrictive) 3D measurement techniques, featuring at its high precision. However, the measurement precision of FPP is currently evaluated experimentally, lacking a complete theoretical model for guidance. We propose the first complete FPP precision model chain including four stage models (camera intensity, fringe intensity, phase and 3D geometry) and two transfer models (from fringe intensity to phase and from phase to 3D geometry). The most significant contributions include the adoption of a non-Gaussian camera noise model, which, for the first time, establishes the connection between camera's electronics parameters (known in advance from the camera manufacturer) and the phase precision, and the formulation of the phase to geometry transfer, which makes the precision of the measured geometry representable in an explicit and concise form. As a result, we not only establish the full precision model of the 3D geometry to characterize the performance of an FPP system that has already been set up, but also explore the expression of the highest possible precision limit to guide the error distribution of an FPP system that is yet to build. Our theoretical models make FPP a more designable technique to meet the challenges from various measurement demands concerning different object sizes from macro to micro and requiring different measurement precisions from a few millimeters to a few micrometers. Ministry of Education (MOE) Published version This study was kindly supported by the Ministry of Education - Singapore (MOE-T2EP20220-0008). 2024-01-10T05:58:58Z 2024-01-10T05:58:58Z 2023 Journal Article Lv, S. & Kemao, Q. (2023). Modeling the measurement precision of fringe projection profilometry. Light: Science and Applications, 12(1), 257-. https://dx.doi.org/10.1038/s41377-023-01294-0 2047-7538 https://hdl.handle.net/10356/173057 10.1038/s41377-023-01294-0 37899479 2-s2.0-85175188915 1 12 257 en MOE-T2EP20220-0008 Light: Science and Applications © 2023 The Author(s). Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. application/pdf |
| spellingShingle | Engineering::Computer science and engineering Fringe Projection Profilometry Lv, Shenzhen Kemao, Qian Modeling the measurement precision of fringe projection profilometry |
| title | Modeling the measurement precision of fringe projection profilometry |
| title_full | Modeling the measurement precision of fringe projection profilometry |
| title_fullStr | Modeling the measurement precision of fringe projection profilometry |
| title_full_unstemmed | Modeling the measurement precision of fringe projection profilometry |
| title_short | Modeling the measurement precision of fringe projection profilometry |
| title_sort | modeling the measurement precision of fringe projection profilometry |
| topic | Engineering::Computer science and engineering Fringe Projection Profilometry |
| url | https://hdl.handle.net/10356/173057 |
| work_keys_str_mv | AT lvshenzhen modelingthemeasurementprecisionoffringeprojectionprofilometry AT kemaoqian modelingthemeasurementprecisionoffringeprojectionprofilometry |