A Simple Method for Correcting Lens Distortion in Low-Cost Camera Using Geometric Invariability

In this paper, a lens distortion correction method for low-cost digital camera is proposed. The distortion coefficient and distortion center are estimated by using geometric invariants of perspective projection. The geometric invariants, including cross ratio of collinear points and straight-parallel-perpendicular lines, will be invariant in transforming from the world coordinate system to image coordinate system if there exists no distortion. We derive new distortion measure that is based on these geometric properties and can be optimized with nonlinear search technique. The method is easy to apply and lead to robust results with moderate effort. We verify accuracy and efficiency from experiments.

[1]  Michael A. Penna.  Camera Calibration: A Quick and Easy Way to Determine the Scale Factor , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  O. Faugeras.  Three-dimensional computer vision: a geometric viewpoint , 1993 .

[3]  Olivier D. Faugeras,et al.  Automatic calibration and removal of distortion from scenes of structured environments , 1995, Optics & Photonics.

[4]  Olivier Faugeras,et al.  Three-Dimensional Computer Vision , 1993 .

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

[6]  R. Nickalls.  A new approach to solving the cubic: Cardan’s solution revealed , 1993, The Mathematical Gazette.

[7]  K. Deb.  Solving goal programming problems using multi-objective genetic algorithms , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[8]  V. Bove,et al.  Semiautomatic 3D-model extraction from uncalibrated 2D-camera views , 1995 .

[9]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[10]  Gideon P. Stein,et al.  Lens distortion calibration using point correspondences , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[11]  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..

[12]  T. J. Lauterborn.  American Society Of Photogrammetry , 1984 .

[13]  Q. WeiG.,et al.  Implicit and Explicit Camera Calibration , 1994 .

[14]  H Farid,et al.  Blind removal of lens distortion. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

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