ROBUST METHOD FOR SELF-CALIBRATION OF CAMERAS HAVING THE VARYING INTRINSIC PARAMETERS

In this paper we present a new method of cameras self-calibration having the varying intrinsic parameters, by an unknown planar scene, and we demonstrate that the estimation of these parameters can be made from three matches between two images, which shows the importance of our approach at minimizing constraints on the self-calibration system (on the one hand, the cameras are characterized by varying intrinsic parameters, and on the other hand the use of only two images to estimate these parameters). The main idea of this method is based on the formulation of a non-linear cost function from the relationship between three matches which are the projection of three points representing vertices of parallelogram, and the relationship between the images of the absolute conic of the two images to estimate the intrinsic parameters of the different cameras. The performance of our approach in terms of accuracy and convergence is shown by the experimental results and the simulations realized.

[1]  Y. Zhao,et al.  An Approach for Camera Self-Calibration using Vanishing-Line , 2012 .

[2]  Pierre Gurdjos,et al.  Methods and geometry for plane-based self-calibration , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[3]  Ze-tao Jiang,et al.  The Self-calibration of Varying Internal Camera Parameters Based on Image of Dual Absolute Quadric Transformation , 2010, ISIA.

[4]  Yue Zhao,et al.  Solving the Camera Intrinsic Parameters with the Positive Tri-prism Based on the Circular Points , 2012 .

[5]  Christopher G. Harris,et al.  A Combined Corner and Edge Detector , 1988, Alvey Vision Conference.

[6]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[7]  Peter Sturm Critical motion sequences for the self-calibration of cameras and stereo systems with variable focal length , 2002, Image Vis. Comput..

[8]  Peter F. Sturm,et al.  Critical motion sequences for the self-calibration of cameras and stereo systems with variable focal length , 1999, Image Vis. Comput..

[9]  Wahyu Kusuma,et al.  Journal of Theoretical and Applied Information Technology , 2012 .

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

[11]  Mingzhang Chen,et al.  A New Method of Camera Self-calibration Based on Relative Lengths , 2012 .

[12]  S. C. Hambon,et al.  Complémentarité de mesures de corrélation pour la mise en correspondance , 2009 .

[13]  Reinhard Koch,et al.  Self-calibration and metric reconstruction in spite of varying and unknown internal camera parameters , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[14]  Peter F. Sturm,et al.  A Case Against Kruppa's Equations for Camera Self-Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Rachid Deriche,et al.  Camera Self-Calibration Using the Kruppa Equations and the SVD of the Fundamental Matrix: The Case of Varying Intrinsic Parameters , 2000 .

[16]  Sanchao Liu,et al.  Self-calibration of Varying Internal Camera Parameters Algorithm Based on Quasi-affine Reconstruction , 2012, J. Comput..

[17]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .

[18]  Akram Halli,et al.  Self-calibration using a particular motion of camera , 2008 .

[19]  Philip H. S. Torr,et al.  The Development and Comparison of Robust Methods for Estimating the Fundamental Matrix , 1997, International Journal of Computer Vision.

[20]  Elsayed E. Hemayed,et al.  A survey of camera self-calibration , 2003, Proceedings of the IEEE Conference on Advanced Video and Signal Based Surveillance, 2003..

[21]  Stephen M. Smith,et al.  SUSAN—A New Approach to Low Level Image Processing , 1997, International Journal of Computer Vision.

[22]  Xiaochun Cao,et al.  Self-calibration from turn-table sequences in presence of zoom and focus , 2006, Comput. Vis. Image Underst..

[23]  Sylvie Chambon,et al.  Mise en correspondance stéréoscopique d'images couleur en présence d'occultations. (Color stereo matching with occlusions) , 2005 .

[24]  Jiaoying Shi,et al.  Camera self-calibration using the geometric structure in real scenes , 2003, Proceedings Computer Graphics International 2003.