Abstract
We propose the algorithm for detecting great circles on images on a sphere using the Hough transform. Since our Hough transform on images on a sphere is derived on the basis of the duality, the Hough transform employs a dual sphere as the accumulator of the voting procedure. Furthermore, we propose a robust algorithm based on three-point Hough transform and the segmentation of points on the dual sphere using the metric defined on a sphere.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Mičušík, B., Pajdla, T.: Para-catadioptric camera auto-calibration from epipolar geometry. In: Proc. ACCV, Seoul, South Korea, vol. 2, pp. 748–753 (January 2004)
Sturm, P., Ramalingam, S.: A generic concept for camera calibration. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3022, pp. 1–13. Springer, Heidelberg (2004)
Svoboda, T., Pajdla, T., Hlaváč, V.: Epipolar geometry for panoramic cameras. In: Czech Technical University Workshop 1998, Prague, Czech Republic, pp. 177–178. Czech Technical University (February 1998)
Yamazawa, K., Yagi, Y., Yachida, M.: 3D Line Segment Reconstruction by Using HyperOmni Vision and Omnidirectional Hough Transforming. In: Proc. ICPR, vol. 3, pp. 487–490 (2000)
Kalviainen, H., Hirvonen, P., Xu, L., Oja, E.: Probabilistic and nonprobabilistic hough transforms: Overview and comparisons. IVC 13(4), 239–252 (1995)
Aguado, E., Montiel, A.S., Nixon, M.S.: On the intimate relationship between the principle of duality and the hough transform. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 456, pp. 503–526 (2000)
Xu, L., Oja, E.: Randomized hough transform (rht): Basic mechanism, algorithm, and computational complexities. CVGIP: Image Understanding 57, 131–154 (1995)
Chen, T.C., Chung, K.L.: A new randomized algorithm for detecting lines. Real-Time Imaging 7(6), 473–481 (2001)
Berger, M.: Geometry I & II. Springer, Heidelberg (1987)
Pearson, F.: Map Projections: Theory and Applications. CRC Press, Boca Raton (1990)
Yang, J.P., Snyder, Q., Tobler, W.R.: Map Projection Transformation: Principles and Applications. Taylor & Francis, Abington (2000)
Intel Corporation. Open source computer vision library, http://www.intel.com/research/mrl/research/opencv/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Torii, A., Imiya, A. (2005). The Randomized Hough Transform for Spherical Images. In: Gagalowicz, A., Philips, W. (eds) Computer Analysis of Images and Patterns. CAIP 2005. Lecture Notes in Computer Science, vol 3691. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556121_44
Download citation
DOI: https://doi.org/10.1007/11556121_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28969-2
Online ISBN: 978-3-540-32011-1
eBook Packages: Computer ScienceComputer Science (R0)