Zoom Dependent Lens Distortion Mathematical Models

We propose new mathematical models to study the variation of lens distortion models when modifying zoom setting in the case of zoom lenses. The new models are based on a polynomial approximation to account for the variation of the radial distortion parameters through the range of zoom lens settings and, on the minimization of a global error energy measuring the distance between sequences of distorted aligned points and straight lines after lens distortion correction. To validate the performance of the method we present experimental results on calibration pattern images and on sport event scenarios using broadcast video cameras. We obtain, experimentally, that using just a second order polynomial approximation of lens distortion parameter zoom variation, the quality of lens distortion correction is as good as the one obtained individually frame by frame using independent lens distortion model for each frame.

[1]  Konstantinos A. Tarabanis,et al.  Modeling of a computer-controlled zoom lens , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

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

[3]  Alexander Zelinsky,et al.  A Practical Zoom Camera Calibration Technique: An Application on Active Vison for Human-Robot Interaction , 2001 .

[4]  Selim Benhimane,et al.  Self-calibration of the distortion of a zooming camera by matching points at different resolutions , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[5]  Kwanghoon Sohn,et al.  Automatic radial distortion correction in zoom lens video camera , 2010, J. Electronic Imaging.

[6]  Edward Rosten,et al.  Camera distortion self-calibration using the plumb-line constraint and minimal Hough entropy , 2008, Machine Vision and Applications.

[7]  J. Rafael Sendra,et al.  An Algebraic Approach to Lens Distortion by Line Rectification , 2009, Journal of Mathematical Imaging and Vision.

[8]  Robert J. Wood,et al.  Towards a 3g crawling robot through the integration of microrobot technologies , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[9]  Nasser Kehtarnavaz,et al.  A relational approach to zoom tracking for digital still cameras , 2005, IEEE Transactions on Consumer Electronics.

[10]  Pedro Henríquez,et al.  Morphological Thick Line Center Detection , 2010, ICIAR.

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

[12]  Christian Bräuer-Burchardt,et al.  Distance Dependent Lens Distortion Variation in 3D Measuring Systems Using Fringe Projection , 2006, BMVC.

[13]  Carme Torras,et al.  Contour-based 3D motion recovery while zooming , 2003, Robotics Auton. Syst..

[14]  P. Anandan,et al.  A Unified Approach to Moving Object Detection in 2D and 3D Scenes , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  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..

[16]  Photogrammetric observation of the variation of intrinsic parameters for zoom lenses , 2010 .

[17]  O. Faugeras,et al.  The Geometry of Multiple Images , 1999 .

[18]  Klaus Diepold,et al.  Modeling the Variation of the Intrinsic Parameters of an Automatic Zoom Camera System using Moving Least-Squares , 2007, 2007 IEEE International Conference on Automation Science and Engineering.

[19]  Steven A. Shafer,et al.  Perspective projection camera model for zoom lenses , 1994, Other Conferences.

[20]  Joon-Woong Lee,et al.  Correction of radial distortion based on line-fitting , 2010 .

[21]  Donald L. Light,et al.  The new camera calibration system at the U , 1992 .

[22]  Carlos Ricolfe-Viala,et al.  Correcting non-linear lens distortion in cameras without using a model , 2010 .

[23]  Clive S. Fraser,et al.  Zoom-dependent camera calibration in digital close-range photogrammetry , 2006 .

[24]  Bahadir Ergun.  Photogrammetric observing the variation of intrinsic parameters for zoom lenses , 2010 .

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

[26]  Chin-Shyurng Fahn,et al.  A high-definition human face tracking system using the fusion of omni-directional and PTZ cameras mounted on a mobile robot , 2010, 2010 5th IEEE Conference on Industrial Electronics and Applications.

[27]  C. Fraser,et al.  Variation of distortion within the photographic field , 1992 .

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

[29]  Jean-Marc Lavest,et al.  Some Aspects of Zoom Lens Camera Calibration , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[30]  A. Hampapur,et al.  Smart video surveillance: exploring the concept of multiscale spatiotemporal tracking , 2005, IEEE Signal Processing Magazine.

[31]  E. Rivlin,et al.  Zoom tracking , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).