On Modeling and Least Squares Fitting of Cylinders from Single and Multiple Views Using Contour Line Features

  • Mark Becke
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9246)


In this paper, a new method for a minimum-error pose estimation of cylinder axes based on apparent contour line features from multiple views is presented. Novel model equations for both single and particularly multiple views are derived, and based upon these, an algorithm for least squares fitting the model to imaged cylinder contour line features is introduced. The good performance of the proposed algorithm is shown by solving an exemplary fitting problem.


Straight Homogeneous Circular Cylinder Apparent contour Computer vision Multiple view geometry Least squares fitting 


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  1. 1.
    Doignon, C.: An introduction to model-based pose estimation and 3-D tracking techniques. In: Proceedings of the IEEE 1991 National Aerospace and Electronics Conference, NAECON 1991, pp. 359–382 (2007)Google Scholar
  2. 2.
    Shiu, Y. C., Huang, C.: Locating cylindrical objects from perspective projections. In: 10th IEEE International Symposium on High Performance Distributed Computing, pp. 1070–1076 (1991)Google Scholar
  3. 3.
    Puech, W., Chassery, J.-M., Pitas, I.: Cylindrical surface localization in monocular vision. Pattern Recognition Letters 18(8), 711–722 (1997)CrossRefGoogle Scholar
  4. 4.
    Veldhuis, H., Vosselman, G.: The 3D reconstruction of straight and curved pipes using digital line photogrammetry. 5ISPRS6 Journal of Photogrammetry and Remote Sensing 53(1), 6–16 (1998)CrossRefGoogle Scholar
  5. 5.
    Hanek, R., Navab, N., Appel, M.: Yet another method for pose estimation: a probabilistic approach using points, lines, and cylinders. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1999, vol. 2, pp. 544–550 (1999)Google Scholar
  6. 6.
    Doignon, C., de Mathelin, M.: A degenerate conic-based method for a direct fitting and 3-d pose of cylinders with a single perspective view. In: 2007 IEEE International Conference on Robotics and Automation, pp. 4220–4225 (2007)Google Scholar
  7. 7.
    Navab, N., Appel, M.: Canonical representation and multi-view geometry of cylinders. International Journal of Computer Vision 70(2), 133–149 (2006)CrossRefGoogle Scholar
  8. 8.
    Shiu, Y. C., Huang, C.: Pose determination of circular cylinders using elliptical and side projections. In: IEEE International Conference on Systems Engineering, 1991, pp. 265–268 (1991)Google Scholar
  9. 9.
    Huang, J.-B., Chen, Z., Chi, T.-L.: Pose determination of a cylinder using reprojection transformation. Pattern Recognition Letters 17(10), 1089–1099 (1996)CrossRefGoogle Scholar
  10. 10.
    Sarkis, M., Diepold, K.: Camera-pose estimation via projective newton optimization on the manifold. IEEE Transactions on Image Processing 21(4), 1729–1741 (2012)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Hartley, R. I., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press (2004)Google Scholar
  12. 12.
    Gallego, G., Yezzi, A.: A compact formula for the derivative of a 3-D rotation in exponential coordinates. Journal of Mathematical Imaging and Vision (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Regensburg Robotics Research Unit, Faculty of Mechanical EngineeringOstbayerische Technische Hochschule RegensburgRegensburgGermany

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