TY - JOUR
T1 - Three‐dimensional spatial point computation in fringe projection profilometry
AU - Juarez-Salazar, Rigoberto
AU - Rodriguez-Reveles, Gustavo A.
AU - Esquivel-Hernandez, Sofia
AU - Diaz-Ramirez, Victor H.
N1 - Publisher Copyright:
© 2023
PY - 2023/5
Y1 - 2023/5
N2 - The demodulated phase in fringe projection profilometry (FPP) provides information about the (x,y,z)-coordinates of points of the observed object. However, the phase-to-coordinate conversion employing multiple cameras and projectors with different imaging models is not straightforward. This paper presents the following two contributions. First, a theoretical framework to investigate the triangulation problem in FPP is established. Seven representative triangulation methods commonly used in FPP are reviewed. Second, a generalized triangulation method is proposed for single-axis fringe projection supporting multiple cameras and projectors with lens distortion. The performance of the eight investigated triangulation methods is evaluated in terms of noise robustness and computation time by computer simulations and an experimental fringe projection optical setup. The results demonstrate that the mean dispersion approach yields the best performance, but vertical and horizontal fringes must be projected, while the new method is the most appropriate for single-axis fringe projection using multiple devices with lens distortion.
AB - The demodulated phase in fringe projection profilometry (FPP) provides information about the (x,y,z)-coordinates of points of the observed object. However, the phase-to-coordinate conversion employing multiple cameras and projectors with different imaging models is not straightforward. This paper presents the following two contributions. First, a theoretical framework to investigate the triangulation problem in FPP is established. Seven representative triangulation methods commonly used in FPP are reviewed. Second, a generalized triangulation method is proposed for single-axis fringe projection supporting multiple cameras and projectors with lens distortion. The performance of the eight investigated triangulation methods is evaluated in terms of noise robustness and computation time by computer simulations and an experimental fringe projection optical setup. The results demonstrate that the mean dispersion approach yields the best performance, but vertical and horizontal fringes must be projected, while the new method is the most appropriate for single-axis fringe projection using multiple devices with lens distortion.
KW - Fringe projection profilometry
KW - Multi-device system
KW - Phase-to-coordinate conversion
KW - Three-dimensional surface imaging
KW - Triangulation
UR - http://www.scopus.com/inward/record.url?scp=85146670906&partnerID=8YFLogxK
U2 - 10.1016/j.optlaseng.2023.107482
DO - 10.1016/j.optlaseng.2023.107482
M3 - Artículo
AN - SCOPUS:85146670906
SN - 0143-8166
VL - 164
JO - Optics and Lasers in Engineering
JF - Optics and Lasers in Engineering
M1 - 107482
ER -