TY - JOUR
T1 - Key concepts for phase-to-coordinate conversion in fringe projection systems
AU - Juarez-Salazar, Rigoberto
AU - Giron, Alejandra
AU - Zheng, Juan
AU - DIaz-Ramirez, Victor H.
N1 - Publisher Copyright:
© 2019 Optical Society of America.
PY - 2019
Y1 - 2019
N2 - Fringe projection systems encode the scanned object shape as a phase distribution according to the system parameters. However, to obtain the object shape in physical units of length, the demodulated phase must be converted to the coordinates of the observed points on the object surface. The design of a phase-to-coordinate conversion algorithm is straightforward when the following key concepts are considered: cameras and projectors as direction sensors, gratings as coordinate-encoding devices, absolute phase, and triangulation. In this paper, the theoretical principles of these concepts are formalized. Then, an efficient and generalized phase-to-coordinate conversion method, which supports systems with multiple cameras and projectors arranged arbitrarily, is proposed. The usefulness of this approach is illustrated by a 3D surface imaging experiment.
AB - Fringe projection systems encode the scanned object shape as a phase distribution according to the system parameters. However, to obtain the object shape in physical units of length, the demodulated phase must be converted to the coordinates of the observed points on the object surface. The design of a phase-to-coordinate conversion algorithm is straightforward when the following key concepts are considered: cameras and projectors as direction sensors, gratings as coordinate-encoding devices, absolute phase, and triangulation. In this paper, the theoretical principles of these concepts are formalized. Then, an efficient and generalized phase-to-coordinate conversion method, which supports systems with multiple cameras and projectors arranged arbitrarily, is proposed. The usefulness of this approach is illustrated by a 3D surface imaging experiment.
UR - http://www.scopus.com/inward/record.url?scp=85068095596&partnerID=8YFLogxK
U2 - 10.1364/AO.58.004828
DO - 10.1364/AO.58.004828
M3 - Artículo
C2 - 31503797
AN - SCOPUS:85068095596
SN - 1559-128X
VL - 58
SP - 4828
EP - 4834
JO - Applied Optics
JF - Applied Optics
IS - 18
ER -