Hybrid Method for Phase-Height Relationship in 3D Shape Measurement using Fringe Pattern Projection

다국어 초록 (Multilingual Abstract)

A height estimating function is proposed based on geometric analysis for a three-dimensional (3-D) measurement system using a digital light processing (DLP) projector and a camera. The proposed 3-D shape measurement method is a hybrid method that combines the geometric parameter measuring method and the least squares method. This method uses the phase-to-height relationship for one line by plane analysis, and the related parameters are estimated using the least squares method. The proposed method has one function per image line instead of one function per image pixel. Sinusoidal fringe patterns of the projector are projected on the object, and the phase of the measuring point is calculated from the camera image. Then, the relationship between the phase by fringe patterns and the height of the measuring point is described as a parameter of the horizontal coordinate on the image plane. Thus, the 3-D shape of the object can be obtained. Our experiments show that the error of the modeling function is within ±0.1 mm when the x-z working range is 100×50 mm. Therefore, the proposed method can dramatically reduce the number of mapping functions needed for 3-D measurement using the geometric relationship between the projector and camera.

참고문헌 (Reference)

1 Sansoni, G., "Three-Dimensional Vision based on a Combination of Gray-Code and Phase-Shift Light Projection : Analysis and Compensation of the Systematic Errors" 38 (38): 6565-6573, 1999

2 Du, H, "Three-Dimensional Shape Measurement with an Arbitrarily Arranged Fringe Projection Profilometry System" 32 (32): 2438-2440, 2007

3 Hu, Y., "Three-Dimensional Profilometry based on Shift Estimation of Projected Fringe Patterns" 45 (45): 678-687, 2006

4 Baumbach, T., "Remote Metrology by Comparative Digital Holography" 45 (45): 925-934, 2006

5 Ganotra, D., "Profilometry for the Measurement of Three-Dimensional Object Shape using Radial Basis Function, and Multi-Layer Perceptron Neural Networks" 209 (209): 291-301, 2002

6 Choi, Y. B., "Phase-Shifting Grating Projection MoiréTopography" 37 (37): 1005-1010, 1998

7 Chen, F., "Overview of Three-Dimensional Shape Measurement using Optical Methods" 39 (39): 10-22, 2000

8 Huang, L., "Least-Squares Calibration Method for Fringe Projection Profilometry Considering Camera Lens Distortion" 49 (49): 1539-1548, 2010

9 Guo, H., "Least-Squares Calibration Method for Fringe Projection Profilometry" 44 (44): 033603-, 2005

10 Zhang, S., "Generic Nonsinusoidal Phase Error Correction for Three-Dimensional Shape Measurement using a Digital Video Projector" 46 (46): 36-43, 2007

11 Takeda, M., "Fourier Transform Profilometry for the Automatic Measurement of 3-D Object Shape" 22 (22): 3977-3982, 1983

12 정병묵, "Flexible Vision Inspection for Seat Frame of Automobile using Slit Beam" 한국정밀공학회 12 (12): 605-612, 2011

13 Da, F, "Flexible Three-Dimensional Measurement Technique based on a Digital Light Processing Projector" 47 (47): 377-385, 2008

14 Maurel, A., "Experimental and Theoretical Inspection of the Phase-to-Height Relation in Fourier Transform Profilometry" 48 (48): 380-392, 2009

15 Purcell, D., "Effective Wavelength Calibration for Moiré Fringe Projection" 45 (45): 8629-8635, 2006

16 Liu, H., "Calibration-based Phase-Shifting Projected Fringe Profilometry for Accurate Absolute 3D Surface Profile Measurement" 216 (216): 65-80, 2003

17 Hu, Q., "Calibration of a Three-Dimensional Shape Measurement System" 42 (42): 487-493, 2003

18 Su, W., "A Large-Depth-of-Field Projected Fringe Profilometry using Super-Continuum Light Illumination" 13 (13): 1025-1032, 2005

19 Tian, A., "A Flexible New Three-Dimensional Measurement Technique by Projected Fringe Pattern" 38 (38): 585-589, 2006

20 Li, W., "3D Shape Measurement based on Structured Light Projection Applying Polynomial interpolation Technique" 124 (124): 20-27, 2013