Validation of a polynomial camera model for generic cameras: Calibration of catadioptric, fish-eye, short- and long focal length cameras

This Paper discusses the practical implementation of a polynomial camera model for a wide variety of common cameras equipped with catadioptric, fish-eye, short or long focal length lenses. A unified approach of deriving initial model parameters using an extended direct linear transformation followed by a maximum likelihood estimation of these parameters was tested with different camera systems. The possibility of sub-pixel accuracy for all used camera systems will be shown.

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

[2]  Janne Heikkilä,et al.  Geometric Camera Calibration Using Circular Control Points , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Craig B. Markwardt,et al.  Non-linear Least Squares Fitting in IDL with MPFIT , 2009, 0902.2850.

[4]  H. Maas,et al.  Validation of geometric models for fisheye lenses , 2009 .

[5]  Mongi A. Abidi,et al.  Universal Camera Calibration with Automatic Distortion Model Selection , 2007, 2007 IEEE International Conference on Image Processing.

[6]  Stuart Robson,et al.  Close Range Photogrammetry: Principles, Methods and Applications , 2006 .

[7]  Thomas Luhmann,et al.  Close Range Photogrammetry , 2007 .

[8]  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..

[9]  Duane C. Brown,et al.  Close-Range Camera Calibration , 1971 .

[10]  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).

[11]  Juho Kannala,et al.  A generic camera model and calibration method for conventional, wide-angle, and fish-eye lenses , 2006, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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