Abstract
A parameter mapping well suited for line segmentation is described. We start with discussing some intuitively natural mappings for line segmentation, including the popular Hough transform. Then, we proceed with describing the novel parameter mapping and argue for its properties. The topology of the mapping introduces its name, the “Möbius strip” parameterization. This mapping has topological advantages over previously proposed mappings.
This work has been supported by the Swedish National Board for Techn. Development, STU.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Davis, E. R. (1986). Image space transforms for detecting straight edges in industrial parts. Pattern Recognition Letters, Vol 4:447–456.
Duda, R. O. and Hart, P. E. (1972). Use of the Hough transform to detect lines and cures in pictures. Communications of the Association Computing Machinery, 15.
Duda, R. O. and Hart, P. E. (1973). Pattern classification and scene analysis. Wiley-Interscience, New York.
Dudani, S. A. and Luk, A. L. (1978). Locating straight/lines edge segmentgs on outdoor scenes. Pattern Recognition, 10:145–157.
Granlund, G. H. (1978). In search of a general picture processing operator. Computer Graphics and Image Processing, 8(2):155–178.
Hough, P. V. C. (1962). A method and means for recognizing complex patterns. U.S. Patent 3,069,654.
Illingworth, J. and Kittler, J. (1988). A survey of the Hough transform. Computer Vision, Graphics and Image Processing, 44.
Princen, J., Illingworth, J., and Kittler, J. (1990). A hierarchical approach to line extraction based on the Hough transform. Computer Vision, Graphics, and Image Processing, 52.
Westin, C.-F. (1991). Feature extraction based on a tensor image description. LiU-Tek-Lic-1991:28, ISY, Linköping University, S-581 83 Linköping, Sweden. Thesis No. 288, ISBN 91-7870-815-X.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Westin, CF., Knutsson, H. (1992). The Möbius strip parameterization for line extraction. In: Sandini, G. (eds) Computer Vision — ECCV'92. ECCV 1992. Lecture Notes in Computer Science, vol 588. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55426-2_4
Download citation
DOI: https://doi.org/10.1007/3-540-55426-2_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55426-4
Online ISBN: 978-3-540-47069-4
eBook Packages: Springer Book Archive