Calibration of Fisheye Lens Images Using a Spiral Pattern and Compensation for Geometric Distortion

나선형 패턴을 사용한 어안렌즈 영상 교정 및 기하학적 왜곡 보정

  • Kim, Seon-Yung (Dept. of Image Engineering, Graduate School of Advanced Image Science, Multimedia, and Film, Chung-Ang University) ;
  • Yoon, In-Hye (Dept. of Image Engineering, Graduate School of Advanced Image Science, Multimedia, and Film, Chung-Ang University) ;
  • Kim, Dong-Gyun (Dept. of Image Engineering, Graduate School of Advanced Image Science, Multimedia, and Film, Chung-Ang University) ;
  • Paik, Joon-Ki (Dept. of Image Engineering, Graduate School of Advanced Image Science, Multimedia, and Film, Chung-Ang University)
  • 김선영 (중앙대학교 첨단영상대학원) ;
  • 윤인혜 (중앙대학교 첨단영상대학원) ;
  • 김동균 (중앙대학교 첨단영상대학원) ;
  • 백준기 (중앙대학교 첨단영상대학원)
  • Received : 2011.06.29
  • Accepted : 2012.04.04
  • Published : 2012.07.25

Abstract

In this paper, we present spiral pattern which suits for optical simulator to calibrate fisheye lens and compensate geometric distortion. Using spiral pattern, we present calibration without mathematical modeling in advance. Proposed spiral pattern used to input image of optical simulator. Using fisheye lens image, we calibrate a fisheye lens by matching geometrically moved dots to corresponding original dots which leads not to need mathematical modeling. Proposed algorithm calibrates using dot matching which matches spiral pattern image dot to distorted image dot. And this algorithm does not need modeling in advance so it is effective. Proposed algorithm is enabled at processing of pattern recognition which has to get the exact information using fisheye lens for digital zooming. And this makes possible at compensation of geometric distortion and calibration of fisheye lens image applying in various image processing.

본 논문에서는 어안렌즈의 교정(calibration)과 기하학적 왜곡을 보정하기 위해서 광학 시뮬레이터에 적합한 나선형 패턴을 제안하고, 이를 이용하여 별도의 수학적 모델링이 필요 없는 교정 알고리듬을 제안한다. 나선형 패턴을 광학 시뮬레이터의 입력 영상으로 이용하여 어안렌즈로 왜곡 시킨 영상에서 기하학적으로 이동된 점들의 정합을 통하여 교정을 수행한다. 이러한 과정에서 나선형 패턴 영상에서 중심으로부터 멀어지는 점들이 어안렌즈의 기하학적 왜곡을 거쳐 이동되는 정보를 왜곡되기 전의 위치와 정합하기 때문에 정확한 교정이 가능한 동시에, 별도의 모델링이 필요 없기 때문에 효율적인 처리가 가능하다. 제안된 기술은 어안렌즈를 이용한 패턴인식 시스템에서 손실 없는 디지털 영상 확대를 통하여 정확한 정보를 추출하는 데에 이용할 수 있다. 또한 넓은 시야각을 필요로 하는 다양한 영상처리 분야에 적용하여 어안렌즈의 교정과 왜곡 보정을 가능하게 한다.

Keywords

References

  1. S. Shah and J. Aggarwal, "Intrinsic parameter calibration procedure for a (high distortion) fish-eye lens camera with distortion model and accuracy estimation," Journal of Pattern Recognition, vol. 29, no. 11, pp. 1775-1788, February 1996. https://doi.org/10.1016/0031-3203(96)00038-6
  2. H. Bakstein and T. Pajdla, "Panoramic mosaicing with a 180° field of view lens," IEEE Workshop on Omnidirectional Vision, pp. 60-67, December 2002.
  3. Z. Zhang, "A flexible new technique for camera calibration," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 22, no. 11, pp. 1330-1334, November 2000. https://doi.org/10.1109/34.888718
  4. J. Park, S. Byun, and B. lee, "Lens distortion correction using ideal image coordinates," IEEE Trans. Consumer Electronics, vol. 55, no. 3, pp. 987-991, August 2009. https://doi.org/10.1109/TCE.2009.5278053
  5. J. Kannala and S. Brandt, "A generic camera model and calibration method for conventional, wide-angle, and fish-eye lenses," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 28, no. 8, pp. 1335-1340, August 2006. https://doi.org/10.1109/TPAMI.2006.153
  6. G. Stein, "Lens distortion calibration using point correspondences," IEEE Conf. Computer Vision, Pattern Recognition, pp. 602-608, June 1997.
  7. A. Basu and S. Licardie, "Alternative models for fish-eye lenses," Journal of Pattern Recognition Letters, vol. 16, no. 4, pp. 433-441, April 1995. https://doi.org/10.1016/0167-8655(94)00115-J
  8. J. Sun and J. Zhu, "Calibration and correction for omnidirectional image with a fisheye lens," IEEE Conference on Natural Computation, vol. 6, pp. 133-137, October 2008.
  9. Y. Bai and H. Zhuang, "On the comparison of bilinear, cubic spline, and fuzzy interpolation techniques for robotic position measurements," IEEE Trans. Instrumentation and Measurement, vol. 54, no. 6, pp. 2281-2288, December 2005. https://doi.org/10.1109/TIM.2005.858563