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PClines: Line Parameterization Based on Parallel Coordinates

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Book cover Real-Time Detection of Lines and Grids

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Abstract

Recently, parallel coordinates [39] were used for parameterizing lines for the Hough transform [19, 22]. This parameterization, referred to as the Parallel-Axis Transform (PAT) or PClines, is a point-to-line mapping. This chapter introduces the parameterization in detail. First, Sect. 4.1 reviews the basic information about the parallel coordinates needed for understanding the parameterization. Then, the parameterization is introduced in Sect. 4.2, and a brief analysis of its accuracy is given in Sect. 4.3

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References

  1. Inselberg, A.: Parallel Coordinates: Visual Multidimensional Geometry and its Applications. Springer, New york (2009)

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  2. Dubská, M., Herout, A., Havel, J.: PClines—line detection using parallel coordinates. In: Proceedings of CVPR, (2011)

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  3. El Mejdani, S., Egli, R., Dubeau, F.: Old and new straight-line detectors: description and comparison. Pattern Recognit. 41, 1845–1866 (2008). doi: DOIurl10.1016/j.patcog.2007.11.013 http://dl.acm.org/citation.cfm?id=1343128.1343451

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  4. Duda, R.O., Hart, P.E.: Use of the Hough transformation to detect lines and curves in pictures. Commun. ACM 15(1), 11–15 (1972). http://doi.acm.org/10.1145/361237.361242

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Correspondence to Adam Herout .

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© 2013 Adam Herout

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Herout, A., Dubská, M., Havel, J. (2013). PClines: Line Parameterization Based on Parallel Coordinates. In: Real-Time Detection of Lines and Grids. SpringerBriefs in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-4414-4_4

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  • DOI: https://doi.org/10.1007/978-1-4471-4414-4_4

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4413-7

  • Online ISBN: 978-1-4471-4414-4

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