Projector calibration with error surface compensation method in the structured light three-dimensional measurement system

Abstract. In the structured light three-dimensional measurement system, calibration is the key to the measurement accuracy; however, conventional calibration methods for the projector are either too complex or inaccurate. Therefore, we propose a simple and accurate method to calibrate the projector. In this method, the calibration points in the camera image plane can be mapped to the projector according the homography of the planar projection. In addition, an error surface compensation method is developed to minimize mapping errors caused by lens distortion of the camera and projector. As a result, the projector can be calibrated with the same method as the camera. Experiments are conducted to verify the effectiveness of the proposed method.

[1]  Nicola D'Apuzzo,et al.  Overview of 3D surface digitization technologies in Europe , 2006, Electronic Imaging.

[2]  Olivier D. Faugeras,et al.  A theory of self-calibration of a moving camera , 1992, International Journal of Computer Vision.

[3]  J. J. Aguilar,et al.  Development of a stereo vision system for non-contact railway concrete sleepers measurement based in holographic optical elements , 2005 .

[4]  Ye Jin,et al.  Accurate calibration for a camera-projector measurement system based on structured light projection , 2009 .

[5]  Pierre Graebling,et al.  Optical high-precision three-dimensional vision-based quality control of manufactured parts by use of synthetic images and knowledge for image-data evaluation and interpretation. , 2002, Applied optics.

[6]  CohenPaul,et al.  Camera Calibration with Distortion Models and Accuracy Evaluation , 1992 .

[7]  Mumin Song,et al.  Overview of three-dimensional shape measurement using optical methods , 2000 .

[8]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Hua Du,et al.  Out-of-plane shape determination in generalized fringe projection profilometry. , 2006, Optics express.

[10]  Xiao Zhu,et al.  A generalized reference-plane-based calibration method in optical triangular profilometry. , 2009, Optics express.

[11]  Anup Basu,et al.  Alternative models for fish-eye lenses , 1995, Pattern Recognit. Lett..

[12]  Hongwei Guo,et al.  Least-squares fitting of carrier phase distribution by using a rational function in fringe projection profilometry , 2006 .

[13]  Lei Huang,et al.  Least-squares calibration method for fringe projection profilometry considering camera lens distortion. , 2010, Applied optics.

[14]  Liang-Chia Chen,et al.  Calibration of 3D surface profilometry using digital fringe projection , 2005 .

[15]  Robyn Owens,et al.  System for routine surface anthropometry using reprojection registration , 2003 .

[16]  Andrew W. Fitzgibbon,et al.  A rational function lens distortion model for general cameras , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[17]  Ming-June Tsai,et al.  Development of a high-precision surface metrology system using structured light projection , 2005 .

[18]  Carlos Ricolfe-Viala,et al.  Lens distortion models evaluation. , 2010, Applied optics.

[19]  Qi Xue,et al.  Calibration of a camera–projector measurement system and error impact analysis , 2012 .

[20]  Jianmin Gao,et al.  A novel color coding method for structured light 3D measurement , 2011, Optical Metrology.

[21]  Xiang Peng,et al.  Calibration of fringe projection profilometry with bundle adjustment strategy. , 2012, Optics letters.

[22]  Peisen S. Huang,et al.  Novel method for structured light system calibration , 2006 .

[23]  Paul R. Cohen,et al.  Camera Calibration with Distortion Models and Accuracy Evaluation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[24]  Soon-Yong Park,et al.  Active Calibration of Camera-Projector Systems Based on Planar Homography , 2010, 2010 20th International Conference on Pattern Recognition.

[25]  Songde Ma,et al.  A complete two-plane camera calibration method and experimental comparisons , 1993, 1993 (4th) International Conference on Computer Vision.

[26]  Robert Sitnik,et al.  Archiving shape and appearance of cultural heritage objects using structured light projection and multispectral imaging , 2012 .

[27]  Feipeng Da,et al.  Flexible three-dimensional measurement technique based on a digital light processing projector. , 2008, Applied optics.

[28]  Roger Y. Tsai,et al.  A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses , 1987, IEEE J. Robotics Autom..