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Parametric Equation of Hough Transform for Log-Polar Image Representation  

Choi, Il (School of Electronic and Electrical Engineering, Kyungpook National University)
Kim, Dong-su (YENT Co.)
Chien, Sung-Il (School of Electronic and Electrical Engineering, Kyungpook National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SP / v.39, no.4, 2002 , pp. 455-461 More about this Journal
Abstract
This paper presents a new parametric log line equation of polar form for Hough transform in log-polar plane, in which it can remove the well-known unboundedness problem of Hough parameters. Bolduc's method is used to generate a log-polar image dividing the fovea and periphery from a Cartesian image. Edges of the fovea and periphery are detected by using the Sobel mask and the proposed space-variant gradient mask, and are combined in the log-polar plane. The sampled points that might constitute a log line are quite sparse in a deep peripheral region due to severe under-sampling, which is an inherent property of LPM. To cope with such under-sampling, we determine the values of cumulative cells in Hough space by using the space-variant weighting. In our experiments, the proposed method demonstrates its validity of detecting not only the lines passing through both the fovea and periphery but also the lines in a deep periphery.
Keywords
parametiric log line equation; Hough transform; space-variant operator;
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1 B. Fischl, A. Cohen, and E. L. Schwartz, 'Rapid anisotropic diffusion using space-variant vision, 'Intermtional Jourmal of Computer Vision, 28(3), pp. 199~212,1998   DOI
2 B. Fischl, M. A Cohen, and E. L. Schwartz, 'The local structure of spare-variant images, 'Neural Networks, Vol. 10, pp. 815-831, 1997   DOI   ScienceOn
3 R. Wallace, P. Wen Ong, B. Bederson, and E. Schwartz, 'Space variant image processing,' Intemationall Journal Computer Vision, Vol. 13, No.1, pp. 71 -90, 1994   DOI
4 R.A Messener and H.H Szu, 'An image processing architecture for real time generation of scale and rotation,' Computer Vision, Graphics, and Image Processing, 31, pp. 50-66, 1985   DOI   ScienceOn
5 B.B. Bederson, R.S. Wallace, and E.L. Schwartz, A miniaturized active image processing: Cortex I, Chap. 24,pp. 429-455, Champman & Hall, London, 1994
6 최일, '로그폴라 영상 변환을 이용한 얼굴 검출 및 인식,' 경북대학교 박사학위논문, 2000년 12월
7 J. Illingworth and J. Kittler, 'A Survey of the Hough transform,'Computer Vision Graphics, and. Image Processing, V. 44, pp. 87 -116, 1988   DOI
8 E. Nattel and Y. Yeshtrun 'An efficient data structure for feature extraction in a foveated environment,' INCS 1811, Springer, pp. 217- 226, 2000
9 A. Peters and E.G. Jones, Cerebral cortex, vol. 10, Primary visual cortex in primates, Plenum Press, 1994
10 S-W. Lee, Heinrich H. Bulthoff, and T. Poggio (Eds), Biologically Motilvated Computer Vision, LNCS 1811, Springer, 2000
11 E. L. Schwartz, 'Spatial mapping in the primate sensory projection: Analytic structure and relevance to perception,' Biological Cybernetics, Vol. 25, pp. 181 -194, 1977   DOI
12 M. Bolduc and M. D. Levine, 'A review of biologically motivated spice-variant data reduction models for robotic vision,' Computer Vision and Image Understanding, Vol. 69, pp. 170 -184, 1988   DOI   ScienceOn