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A Unified Framework for Line Extraction in Dioptric and Catadioptric Cameras

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Computer Vision – ACCV 2012 (ACCV 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7727))

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Many of the omnidirectional visual systems have revolution symmetry and, consequently, they can be described by the radially symmetric distortion model. Following this projection model, straight lines are projected on curves called line-images. In this paper we present a novel unified framework to deal with these line-images directly on the image which is valid for any central system. In order to validate this framework we have developed a method to extract line-images with a 2-points RANSAC, which makes use of the camera calibration. The proposed method also gives the adjacent regions of line-images which can be used for matching purposes. The line-images extractor has been implemented and tested with simulated and real images.

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  1. Ying, X., Hu, Z., Zha, H.: Fisheye Lenses Calibration Using Straight-Line Spherical Perspective Projection Constraint. In: Narayanan, P.J., Nayar, S.K., Shum, H.-Y. (eds.) ACCV 2006 Part II. LNCS, vol. 3852, pp. 61–70. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  2. Bazin, J.C., Demonceaux, C., Vasseur, P.: Fast Central Catadioptric Line Extraction. In: Martí, J., Benedí, J.M., Mendonça, A.M., Serrat, J. (eds.) IbPRIA 2007 Part II. LNCS, vol. 4478, pp. 25–32. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Geyer, C., Daniilidis, K.: A Unifying Theory for Central Panoramic Systems and Practical Implications. In: Vernon, D. (ed.) ECCV 2000 Part II. LNCS, vol. 1843, pp. 445–461. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Geyer, C., Daniilidis, K.: Catadioptric projective geometry. International Journal of Computer Vision 45, 223–243 (2001)

    Article  MATH  Google Scholar 

  5. Barreto, J.P., Araujo, H.: Geometric properties of central catadioptric line images and their application in calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence 27, 1327–1333 (2005)

    Article  Google Scholar 

  6. Devernay, F., Faugeras, O.: Straight lines have to be straight. Machine Vision and Applications 13, 14–24 (2001)

    Article  Google Scholar 

  7. Alvarez, L., Gómez, L., Sendra, J.: An algebraic approach to lens distortion by line rectification. Journal of Mathematical Imaging and Vision 35, 36–50 (2009)

    Article  MathSciNet  Google Scholar 

  8. Brown, D.: Close-range camera calibration. Photogrammetric engineering 37, 855–866 (1971)

    Google Scholar 

  9. Tardif, J.-P., Sturm, P., Roy, S.: Self-calibration of a General Radially Symmetric Distortion Model. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006 Part V. LNCS, vol. 3954, pp. 186–199. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Vasseur, P., Mouaddib, E.M.: Central catadioptric line detection. In: British Machine Vision Conference (2004)

    Google Scholar 

  11. Ying, X., Hu, Z.: Catadioptric line features detection using hough transform. In: 17th International Conference on Pattern Recognition, ICPR, vol. 4, pp. 839–842 (2004)

    Google Scholar 

  12. Mei, C., Malis, E.: Fast central catadioptric line extraction, estimation, tracking and structure from motion. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS, pp. 4774–4779 (2006)

    Google Scholar 

  13. Bermudez-Cameo, J., Puig, L., Guerrero, J.J.: Hypercatadioptric line images for 3D orientation and image rectification. Robotics and Autonomous Systems 60(6), 755–768 (2012)

    Article  Google Scholar 

  14. Puig, L., Bermudez, J., Guerrero, J.J.: Self-orientation of a hand-held catadioptric system in man-made environments. In: IEEE International Conference on Robotics and Automation, ICRA, pp. 2549–2555 (2010)

    Google Scholar 

  15. Courbon, J., Mezouar, Y., Eck, L., Martinet, P.: A generic fisheye camera model for robotic applications. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS, pp. 1683–1688 (2007)

    Google Scholar 

  16. Kingslake, R.: A history of the photographic lens. Academic Press (1989)

    Google Scholar 

  17. Stevenson, D., Fleck, M.: Nonparametric correction of distortion. In: 3rd IEEE Workshop on Applications of Computer Vision, pp. 214–219 (1996)

    Google Scholar 

  18. Ray, S.: Applied photographic optics: Lenses and optical systems for photography, film, video, electronic and digital imaging. Focal Press (2002)

    Google Scholar 

  19. Sturm, P., Ramalingam, S., Tardif, J., Gasparini, S., Barreto, J.: Camera models and fundamental concepts used in geometric computer vision. Foundations and Trends in Computer Graphics and Vision 6(1-2), 1–183 (2011)

    Article  Google Scholar 

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Bermudez-Cameo, J., Lopez-Nicolas, G., Guerrero, J.J. (2013). A Unified Framework for Line Extraction in Dioptric and Catadioptric Cameras. In: Lee, K.M., Matsushita, Y., Rehg, J.M., Hu, Z. (eds) Computer Vision – ACCV 2012. ACCV 2012. Lecture Notes in Computer Science, vol 7727. Springer, Berlin, Heidelberg.

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37446-3

  • Online ISBN: 978-3-642-37447-0

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