Camera calibration with lens distortion and from vanishing points

Camera calibration is a fundamental task in computer vision and photogrammetry. This paper presents an approach for automatic estimation of intrinsic parameters from images by using vanishing points with orthogonal directions. Firstly, image lines are extracted and are clustered into groups corresponding to three dominant vanishing points. Second, camera parameters including the radial distortion are estimated by adjusting linear parameters locating the images. Finally, the rotation matrix of the projection matrix is computed from the vanishing points, and the image edges and the translation matrix are obtained with the help of additional translation motion between the viewpoints. Our approach does not need any a priori information about the cameras being used. Experiments to evaluate the performance of this approach on synthetic and real data are reported.

[1]  I. Reid,et al.  Metric calibration of a stereo rig , 1995, Proceedings IEEE Workshop on Representation of Visual Scenes (In Conjunction with ICCV'95).

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

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

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

[5]  T. Clarke,et al.  The Development of Camera Calibration Methods and Models , 1998 .

[6]  Paul A. Beardsley,et al.  Euclidean Structure from Uncalibrated Images , 1994, BMVC.

[7]  Stephen J. Maybank,et al.  A Method for Interactive 3D Reconstruction of Piecewise Planar Objects from Single Images , 1999, BMVC.

[8]  Peter J. Rousseeuw,et al.  Robust Regression and Outlier Detection , 2005, Wiley Series in Probability and Statistics.

[9]  Zhengyou Zhang,et al.  Camera calibration with one-dimensional objects , 2002, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Olivier D. Faugeras,et al.  From projective to Euclidean reconstruction , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[11]  Zhengyou Zhang,et al.  On the epipolar geometry between two images with lens distortion , 1996, Proceedings of 13th International Conference on Pattern Recognition.

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

[13]  Peter J. Rousseeuw,et al.  Robust regression and outlier detection , 1987 .

[14]  Jean-Yves Guillemaut,et al.  Using points at infinity for parameter decoupling in camera calibration , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[15]  G. F. McLean,et al.  Line-Based Correction of Radial Lens Distortion , 1997, CVGIP Graph. Model. Image Process..

[16]  Songde Ma,et al.  A complete two-plane camera calibration method and experimental comparisons , 1993, 1993 (4th) International Conference on Computer Vision.

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

[18]  Shree K. Nayar,et al.  Non-metric calibration of wide-angle lenses and polycameras , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[19]  Christian Bräuer-Burchardt,et al.  Image Rectification for Reconstruction of Destroyed Buildings Using Single Views , 2001 .

[20]  Christian Bräuer-Burchardt,et al.  Automatic correction of weak radial lens distortion in single views of urban scenes using vanishing points , 2002, Proceedings. International Conference on Image Processing.

[21]  B. Caprile,et al.  Using vanishing points for camera calibration , 1990, International Journal of Computer Vision.

[22]  Long Quan,et al.  Relative 3D Reconstruction Using Multiple Uncalibrated Images , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[23]  Peter Sturm,et al.  On focal length calibration from two views , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[24]  D. W. Murray,et al.  Camera Calibration using Vanishing Points , 1992 .

[25]  Roberto Cipolla,et al.  Camera Calibration from Vanishing Points in Image of Architectural Scenes , 1999, BMVC.

[26]  Anders Heyden.  Reconstruction from Image Sequences by Means of Relative Depths , 2004, International Journal of Computer Vision.

[27]  Richard I. Hartley,et al.  Euclidean Reconstruction from Uncalibrated Views , 1993, Applications of Invariance in Computer Vision.

[28]  H. C. Longuet-Higgins,et al.  A computer algorithm for reconstructing a scene from two projections , 1981, Nature.

[29]  Luc Van Gool,et al.  The modulus constraint: a new constraint self-calibration , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[30]  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..

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

[32]  O. D. Faugeras,et al.  Camera Self-Calibration: Theory and Experiments , 1992, ECCV.

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

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

[35]  Richard I. Hartley,et al.  Sensitivity of Calibration to Principal Point Position , 2002, ECCV.

[36]  Andrew W. Fitzgibbon,et al.  Simultaneous linear estimation of multiple view geometry and lens distortion , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[37]  L. Grammatikopoulos,et al.  An automatic approach for camera calibration from vanishing points , 2007 .

[38]  Luc Van Gool,et al.  Affine Reconstruction from Perspective Image Pairs Obtained by a Translating Camera , 1993, Applications of Invariance in Computer Vision.