Camera calibration by multiplexed phase encoding of coordinate information.

A simple camera calibration method based on the principle of phase encoding and coordinate transformation is proposed. We use a reference coordinate frame encoded as a phase distribution by multiplexing the x and y directions. From this, we suggest a phase demodulation system. The coordinate transformation induced by the imaging is exploited to estimate the intrinsic and extrinsic camera parameters by using the least-squares method. Thus, a robust and noniterative estimation scheme is obtained. Simulations and experimental results show the feasibility of the proposal. Because of the potential for calibrating projectors, the proposed method could be used to calibrate fringe-projection systems.

[1]  Christian Wöhler,et al.  Accurate chequerboard corner localisation for camera calibration , 2011, Pattern Recognit. Lett..

[2]  Rigoberto Juarez-Salazar,et al.  Generalized phase-shifting algorithm for inhomogeneous phase shift and spatio-temporal fringe visibility variation. , 2014, Optics express.

[3]  Luis Gómez,et al.  Zoom Dependent Lens Distortion Mathematical Models , 2012, Journal of Mathematical Imaging and Vision.

[4]  Keyi Wang,et al.  Camera calibration by using fringe patterns and 2D phase-difference pulse detection , 2014 .

[5]  Donald B. Gennery,et al.  Generalized Camera Calibration Including Fish-Eye Lenses , 2006, International Journal of Computer Vision.

[6]  Shuanghe Yu,et al.  The location and identification of concentric circles in automatic camera calibration , 2013 .

[7]  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..

[8]  Pietro Cerveri,et al.  Comparison of different camera calibration approaches for underwater applications. , 2012, Journal of biomechanics.

[9]  Carlos Ricolfe-Viala,et al.  Robust metric calibration of non-linear camera lens distortion , 2010, Pattern Recognit..

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

[11]  Aly A. Farag,et al.  Nonmetric calibration of camera lens distortion: differential methods and robust estimation , 2005, IEEE Transactions on Image Processing.

[12]  Shang-Hong Lai,et al.  Automatic Distortion Correction of Endoscopic Images Captured With Wide-Angle Zoom Lens , 2013, IEEE Transactions on Biomedical Engineering.

[13]  Jason Geng,et al.  Structured-light 3D surface imaging: a tutorial , 2011 .

[14]  Zhongwei Li,et al.  Accurate calibration method for a structured light system , 2008 .

[15]  Xianyu Su,et al.  Camera calibration with planar crossed fringe patterns , 2012 .

[16]  Jianbo Su.  Camera calibration based on receptive fields , 2007, Pattern Recognit..

[17]  Cruz Meneses-Fabian,et al.  Fourier normalized-fringe analysis by zero-order spectrum suppression using a parameter estimation approach , 2013 .

[18]  Song Zhang.  Recent progresses on real-time 3D shape measurement using digital fringe projection techniques , 2010 .

[19]  Sheng-Wen Shih,et al.  When Should We Consider Lens Distortion in Camera Calibration , 1995, MVA.

[20]  Luca Lucchese,et al.  Geometric calibration of digital cameras through multi-view rectification , 2005, Image Vis. Comput..

[21]  Qingchang Tan,et al.  A new method of camera calibration based on the segmentation model , 2013 .

[22]  Songde Ma,et al.  Implicit and Explicit Camera Calibration: Theory and Experiments , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Wonpil Yu.  An embedded camera lens distortion correction method for mobile computing applications , 2003, IEEE Trans. Consumer Electron..

[24]  Jose Sasian,et al.  Accurate determination of distortion for smartphone cameras. , 2014, Applied optics.

[25]  Zhanyi Hu,et al.  Flexible method for structured light system calibration , 2008 .

[26]  Zhanyi Hu,et al.  Radial distortion invariants and lens evaluation under a single-optical-axis omnidirectional camera , 2014, Comput. Vis. Image Underst..

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

[28]  Guangjun Zhang,et al.  Calibrating camera radial distortion with cross-ratio invariability , 2003 .

[29]  Daniel Santana-Cedrés,et al.  Line detection in images showing significant lens distortion and application to distortion correction , 2014, Pattern Recognit. Lett..

[30]  Rigoberto Juarez-Salazar,et al.  Phase-unwrapping algorithm by a rounding-least-squares approach , 2014 .

[32]  Fuqiang Zhou,et al.  Line-based camera calibration with lens distortion correction from a single image , 2013 .

[33]  Carlos Ricolfe-Viala,et al.  Using the camera pin-hole model restrictions to calibrate the lens distortion model , 2011 .

[34]  Nicholas Krouglicof,et al.  An Efficient Camera Calibration Technique Offering Robustness and Accuracy Over a Wide Range of Lens Distortion , 2012, IEEE Transactions on Image Processing.

[35]  Carlos Ricolfe-Viala,et al.  Camera calibration under optimal conditions. , 2011, Optics express.

[36]  Tong Guo,et al.  Complete calibration of a phase-based 3D imaging system based on fringe projection technique , 2011, International Conference on Optical Instruments and Technology.

[37]  Junfang Wu,et al.  Noniterative calibration of a camera lens with radial distortion , 2012 .

[38]  Jake K. Aggarwal,et al.  Intrinsic parameter calibration procedure for a (high-distortion) fish-eye lens camera with distortion model and accuracy estimation , 1996, Pattern Recognit..