Detection of Elliptical Shapes via Cross-Entropy Clustering

作者: Krzysztof Misztal , Krzysztof Misztal , Jacek Tabor

DOI: 10.1007/978-3-642-38628-2_78

关键词:

摘要: The problem of finding elliptical shapes in an image will be considered. We discuss the new solution which uses cross-entropy clustering, providing theoretical background this approach. proposed algorithm allows search for ellipses with predefined sizes and position space. Moreover, it works well higher dimensions.

参考文章(15)
Peter D. Grünwald, In Jae Myung, Mark A. Pitt, Advances in Minimum Description Length: Theory and Applications MIT Press. ,(2005)
Tsuji, Matsumoto, Detection of Ellipses by a Modified Hough Transformation IEEE Transactions on Computers. ,vol. 27, pp. 777- 781 ,(1978) , 10.1109/TC.1978.1675191
Khalid Saeed, Majida Albakoor, Region growing based segmentation algorithm for typewritten and handwritten text recognition soft computing. ,vol. 9, pp. 608- 617 ,(2009) , 10.1016/J.ASOC.2008.08.006
Gilles Celeux, Gérard Govaert, Gaussian parsimonious clustering models Pattern Recognition. ,vol. 28, pp. 781- 793 ,(1995) , 10.1016/0031-3203(94)00125-6
Allou Samé, Christophe Ambroise, Gérard Govaert, An online classification EM algorithm based on the mixture model Statistics and Computing. ,vol. 17, pp. 209- 218 ,(2007) , 10.1007/S11222-007-9017-Z
J. Illingworth, J. Kittler, A survey of the Hough transform Graphical Models \/graphical Models and Image Processing \/computer Vision, Graphics, and Image Processing. ,vol. 44, pp. 87- 116 ,(1988) , 10.1016/S0734-189X(88)80033-1
A. Fitzgibbon, M. Pilu, R.B. Fisher, Direct least square fitting of ellipses IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. 21, pp. 476- 480 ,(1999) , 10.1109/34.765658
E.R. Davies, Finding ellipses using the generalised Hough transform Pattern Recognition Letters. ,vol. 9, pp. 87- 96 ,(1989) , 10.1016/0167-8655(89)90041-X
L. Mirsky, A trace inequality of John von Neumann Monatshefte für Mathematik. ,vol. 79, pp. 303- 306 ,(1975) , 10.1007/BF01647331
J. Tabor, P. Spurek, Cross-entropy clustering Pattern Recognition. ,vol. 47, pp. 3046- 3059 ,(2014) , 10.1016/J.PATCOG.2014.03.006