A least squares calibration method for fringe projection profilometry

被引:4
作者
Guo, HW [1 ]
He, HT [1 ]
Yu, YJ [1 ]
Chen, MY [1 ]
机构
[1] Shanghai Univ, Lab Appl Opt & Metrol, Shanghai 200072, Peoples R China
来源
INTERFEROMETRY XII: TECHNIQUES AND ANALYSIS | 2004年 / 5531卷
关键词
three-dimensional measurement; fringe projection profilometry; calibration; least squares estimation;
D O I
10.1117/12.560204
中图分类号
TH7 [仪器、仪表];
学科分类号
0804 ; 080401 ; 081102 ;
摘要
This paper presents a novel least squares calibration approach for fringe projection profilometry. This approach is based on a simple nonlinear function, which is deduced by analyzing the geometry of measurement system and perfectly describes the mapping relationship between the depth map and phase distribution. The calibration is implemented by translating a target plane to a sequence of given positions with known depths, and measuring its phase distributions. Based on least squares estimation, an algorithm with linear computation is deduced to retrieve the related parameters, by which the burden of computational complexity is effectively alleviated. In experiment, a plaster statue is measured to demonstrate the validity of the principle.
引用
收藏
页码:429 / 440
页数:12
相关论文
共 16 条
[1]   Unified calibration technique and its applications in optical triangular profilometry [J].
Asundi, A ;
Zhou, W .
APPLIED OPTICS, 1999, 38 (16) :3556-3561
[2]   Profilometry for the measurement of three-dimensional object shape using radial basis function, and multi-layer perceptron neural networks [J].
Ganotra, D ;
Joseph, J ;
Singh, K .
OPTICS COMMUNICATIONS, 2002, 209 (4-6) :291-301
[3]   Calibration of a three-dimensional shape measurement system [J].
Hu, QY ;
Huang, PS ;
Fu, QL ;
Chiang, FP .
OPTICAL ENGINEERING, 2003, 42 (02) :487-493
[4]   Practical three-dimensional computer vision techniques for full-field surface measurement [J].
Hung, YY ;
Lin, L ;
Shang, HM ;
Park, BG .
OPTICAL ENGINEERING, 2000, 39 (01) :143-149
[5]   TECHNIQUES FOR CALIBRATION OF THE SCALE FACTOR AND IMAGE CENTER FOR HIGH-ACCURACY 3-D MACHINE VISION METROLOGY [J].
LENZ, RK ;
TSAI, RY .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1988, 10 (05) :713-720
[6]   2-DIMENSIONAL FOURIER-TRANSFORM PROFILOMETRY FOR THE AUTOMATIC-MEASUREMENT OF 3-DIMENSIONAL OBJECT SHAPES [J].
LIN, JF ;
SU, XY .
OPTICAL ENGINEERING, 1995, 34 (11) :3297-3302
[7]   Absolute measurement of surface profiles in phase-shifting projected fringe profilometry [J].
Liu, HY ;
Bard, B ;
Lu, GW ;
Wu, SD .
OPTICAL MANUFACTURING AND TESTING III, 1999, 3782 :283-290
[8]   Modified procedure for automatic surface topography [J].
Pirga, Maria ;
Kujawinska, Malgorzata .
Measurement: Journal of the International Measurement Confederation, 1994, 13 (03) :191-197
[9]   Digital fringe projection system for large-volume 360-deg shape measurement [J].
Sitnik, R ;
Kujawinska, M ;
Woznicki, J .
OPTICAL ENGINEERING, 2002, 41 (02) :443-449
[10]   AUTOMATED PHASE-MEASURING PROFILOMETRY - A PHASE MAPPING APPROACH [J].
SRINIVASAN, V ;
LIU, HC ;
HALIOUA, M .
APPLIED OPTICS, 1985, 24 (02) :185-188