Abstract
This chapter describes the basics of the Hough transform (HT). The terminology to be used in this text is defined in Sects. 2.1 and 2.2. The relationship of the HT (for lines) and the Radon and Fourier transforms is sketched out in Sect. 2.3. Section 2.4 reviews the most common existing line parameterizations used for line detection by the HT and gives a quick comparison of the important ones.
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References
Hough, P.V.C.: Method and means for recognizing complex patterns. U.S. Patent 3,069,654, 1962
Princen, J., Illingowrth, J., Kittler, J.: Hypothesis testing: a framework for analyzing and optimizing Hough transform performance. IEEE Trans. Pattern Anal. Mach. Intell. 16(4), 329–341 (1994). http://dx.doi.org/10.1109/34.277588
Kälviäinen, H., Hirvonen, P., Xu, L., Oja, E.: Probabilistic and non-probabilistic Hough transforms: overview and comparisons. Image Vis. Comput. 13(4), 239–252 (1995). doi:10.1016/0262-8856(95)99713-B, http://www.sciencedirect.com/science/article/pii/026288569599713B
Han, J.H., Kóczy, L.T., Poston, T.: Fuzzy Hough transform. Pattern Recogn. Lett. 15, 649–658 (1994). doi:10.1016/0167-8655(94)90068-X, http://dl.acm.org/citation.cfm?id=189757.189759
Stephens, R.: Probabilistic approach to the Hough transform. Image Vis. Comput. 9(1), 66–71 (1991). doi:10.1016/0262-8856(91)90051-P, http://www.sciencedirect.com/science/article/pii/026288569190051P
Kiryati, N., Bruckstein, A.: Antialiasing the Hough transform. CVGIP Graph. Models Image Process. 53(3), 213–222 (1991). doi:10.1016/1049-9652(91)90043-J, http://www.sciencedirect.com/science/article/pii/104996529190043J
O’Gorman, F., Clowes, M.B.: Finding picture edges through collinearity of feature points. IEEE Trans. Comput. 25(4), 449–456 (1976)
Ballard, D.H.: Generalizing the Hough transform to detect arbitrary shapes. Pattern Recogn. 13(2), 111–122 (1981)
Gall, J., Yao, A., Razavi, N., Gool, L.V., Lempitsky, V.: Hough forests for object detection, tracking, and action recognition. IEEE Trans. Pattern Anal. Mach. Intell. 33, 2188–2202 (2011). http://doi.ieeecomputersociety.org/10.1109/TPAMI.2011.70
Natterer, F.: The Mathematics of Computerized Tomography. Wiley, New York (1986)
Deans, S.R.: Hough transform from the radon transform. IEEE Trans. Pattern Anal. Mach. Intell. PAMI-3(2), 185–188 (1981). doi:10.1109/TPAMI.1981.4767076
Bhattacharya, P., Rosenfeld, A., Weiss, I.: Point-to-line mappings as Hough transforms. Pattern Recogn. Lett. 23(14), 1705–1710 (2002). http://dx.doi.org/10.1016/S0167-8655(02)00133-2
Tuytelaars, T., Proesmans, M., Gool, L.V., Mi, E.: The cascaded hough transform. In: Proceedings of ICIP, pp. 736–739 (1997)
Tuytelaars, T., Proesmans, M., Gool, L.V.: The cascaded Hough transform as support for grouping and finding vanishing points and lines. In: Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle, AFPAC ’97, pp. 278–289. Springer, London, UK (1997). http://dl.acm.org/citation.cfm?id=646049.677093
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
Sewisy, A.A.: Graphical techniques for detecting lines with the hough transform. Int. J. Comput. Math. 79(1), 49–64 (2002). doi:10.1080/00207160211911, http://www.tandfonline.com/doi/abs/10.1080/00207160211911
Wallace, R.: A modified Hough transform for lines. In: Proceedings of CVPR 1985, pp. 665–667 (1985)
Eckhardt, U., Maderlechner, G.: Application of the projected Hough transform in picture processing. In: Proceedings of the 4th International Conference on Pattern Recognition, pp. 370–379. Springer, London, UK (1988)
Forman, A.V.: A modified Hough transform for detecting lines in digital imagery. Appl. Artif. Intell. III, 151–160 (1986)
El Mejdani, S., Egli, R., Dubeau, F.: Old and new straight-line detectors: description and comparison. Pattern Recogn. 41, 1845–1866 (2008). doi:10.1016/j.patcog.2007.11.013, http://dl.acm.org/citation.cfm?id=1343128.1343451
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© 2013 Adam Herout
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Herout, A., Dubská, M., Havel, J. (2013). Review of Hough Transform for Line Detection. In: Real-Time Detection of Lines and Grids. SpringerBriefs in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-4414-4_2
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