Techniques for Calibration of the Scale Factor and Image Center for High Accuracy 3-D Machine Vision Metrology

Techniques are described for calibrating certain intrinsic camera parameters for machine vision. The parameters to be calibrated are the horizontal scale factor, and the image center. The scale factor calibration uses a one-dimensional fast Fourier transform and is accurate and efficient. It also permits the use of only one coplanar set of calibration points for general camera calibration. Three groups of techniques for center calibration are presented: Group I requires using a laser and a four-degree-of-freedom adjustment of its orientation, but is simplest in concept and is accurate and reproducible; Group II is simple to perform, but is less accurate than the other two; and the most general, Group II, is accurate and efficient, but requires a good calibration plate and accurate image feature extraction of calibration points. Group II is recommended most highly for machine vision applications. Results of experiments are presented and compared with theoretical predictions. Accuracy and reproducibility of the calibrated parameters are reported, as well as the improvement in actual 3-D measurement due to center calibration. >

[1]  K W Wong MATHEMATICAL FORMULATION AND DIGITAL ANALYSIS IN CLOSE-RANGE PHOTOGRAMMETRY , 1975 .

[2]  Yoram Yakimovsky,et al.  A system for extracting three-dimensional measurements from a stereo pair of TV cameras , 1976 .

[3]  Roger Y. Tsai,et al.  Calibrating a Cartesian Robot with Eye-on-Hand Configuration Independent of Eye-to-Hand Relationship , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Robert B. Kelley,et al.  Camera Models Based on Data from Two Calibration Planes , 1981 .

[5]  Youssef Ibrahim Abdel-Aziz Photogrammetric Potential of Non-Metric Cameras , 1974 .

[6]  A. Okamoto The Model Construction Problem Using the Collinearity Condition , 1984 .

[7]  W. Faig CALIBRATION OF CLOSE-RANGE PHOTOGRAMMETRIC SYSTEMS: MATHEMATICAL FORMULATION , 1975 .

[8]  Ivan E. Sutherland,et al.  Three-dimensional data input by tablet , 1974 .

[9]  J. Y. S. Luh,et al.  A Three-Dimensional Vision by Off-Shelf System with Multi-Cameras , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Irwin Sobel,et al.  On Calibrating Computer Controlled Cameras for Perceiving 3-D Scenes , 1973, IJCAI.

[11]  Andrew Dainis,et al.  Accurate remote measurement of robot trajectory motion , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[12]  Sundaram Ganapathy,et al.  Decomposition of transformation matrices for robot vision , 1984, Pattern Recognit. Lett..

[13]  T. Strat Recovering the camera parameters from a transformation matrix , 1987 .

[14]  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..

[15]  H. M. Karara,et al.  Handbook of non-topographic photogrammetry , 1979 .

[16]  Pearl Pu,et al.  A new development in camera calibration calibrating a pair of mobile cameras , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[17]  Hans P. Moravec Robot Rover Visual Navigation , 1981 .