Simple and accurate empirical absolute volume calibration of a multi-sensor fringe projection system

Abstract This paper suggests a novel absolute empirical calibration method for a multi-sensor fringe projection system. The optical setup of the projector-camera sensor can be arbitrary. The term absolute calibration here means that the centre of the three dimensional coordinates in the resultant calibrated volume coincides with a preset centre to the three-dimensional real-world coordinate system. The use of a zero-phase fringe marking spot is proposed to increase depth calibration accuracy, where the spot centre is determined with sub-pixel accuracy. Also, a new method is proposed for transversal calibration. Depth and transversal calibration methods have been tested using both single sensor and three-sensor fringe projection systems. The standard deviation of the error produced by this system is 0.25 mm. The calibrated volume produced by this method is 400 mm×400 mm×140 mm.

[1]  Qingjin Peng,et al.  A correlation-based phase unwrapping method for Fourier-transform profilometry , 2007 .

[2]  Emanuele Zappa,et al.  Static and dynamic features of Fourier transform profilometry: A review , 2012 .

[3]  Huafen Luo,et al.  A simple calibration procedure for structured light system , 2014 .

[4]  Yuangang Lu,et al.  Weighted-phase-gradient-based quality maps for two-dimensional quality-guided phase unwrapping , 2012 .

[5]  Malgorzata Kujawinska,et al.  Digital fringe projection system for large-volume 360-deg shape measurement , 2002 .

[6]  C D'Argenio,et al.  A simplified procedure for the calibration of a fringe pattern profilometer , 2009, 2009 IEEE Instrumentation and Measurement Technology Conference.

[7]  Munther A Gdeisat,et al.  Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path. , 2002, Applied optics.

[8]  K. Creath.  Temporal Phase Measurement Methods , 1993 .

[9]  Cyril Breque,et al.  Calibration of a structured-light projection system: Development to large dimension objects , 2012 .

[10]  Emanuele Zappa,et al.  Innovative calibration technique for fringe projection based 3D scanner , 2011 .

[11]  Xavier Armangué,et al.  A comparative review of camera calibrating methods with accuracy evaluation , 2002, Pattern Recognit..

[12]  J. Kofman,et al.  Comparison of linear and nonlinear calibration methods for phase-measuring profilometry , 2007 .

[13]  D R Burton,et al.  Multichannel Fourier fringe analysis as an aid to automatic phase unwrapping. , 1994, Applied optics.

[14]  Emanuele Zappa,et al.  Fourier-transform profilometry calibration based on an exhaustive geometric model of the system , 2009 .

[15]  Yi Ding,et al.  Absolute phase recovery of three fringe patterns with selected spatial frequencies , 2015 .

[16]  Zhao Meirong,et al.  Calibration of a fringe projection profilometry system using virtual phase calibrating model planes , 2005 .

[17]  Zhuangde Jiang,et al.  A flexible new three-dimensional measurement technique by projected fringe pattern , 2006 .

[18]  K. Reichard,et al.  Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement , 2003 .

[19]  Hongjian Shi,et al.  Three-dimensional shape measurement and calibration for fringe projection by considering unequal height of the projector and the camera. , 2011, Applied optics.

[20]  Mariano Rivera,et al.  Weighted robust Basis Function for phase unwrapping , 2015 .

[21]  Alfredo Paolillo,et al.  A New Calibration Procedure for 3-D Shape Measurement System Based on Phase-Shifting Projected Fringe Profilometry , 2009, IEEE Transactions on Instrumentation and Measurement.

[22]  Dennis C. Ghiglia,et al.  Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software , 1998 .

[23]  David R. Burton,et al.  A simple method for phase wraps elimination or reduction in spatial fringe patterns , 2011 .

[24]  Jesús Villa,et al.  Transformation of phase to (x,y,z)-coordinates for the calibration of a fringe projection profilometer , 2012 .

[25]  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..

[26]  Emanuele Zappa,et al.  Sensitivity analysis applied to an improved Fourier-transform profilometry , 2011 .

[27]  David R. Burton,et al.  Robust fringe analysis system for human body shape measurement , 2000 .