Abstract
This work constitutes a theoretical study of the edge-detection method by means of the Jensen-Shannon divergence, as proposed by the authors. The overall aim is to establish formally the suitability of the procedure of edge detection in digital images, as a step prior to segmentation. In specific, an analysis is made not only of the properties of the divergence used, but also of the method's sensitivity to the spatial variation, as well as the detection-error risk associated with the operating conditions due to the randomness of the spatial configuration of the pixels. Although the paper deals with the procedure based on the Jensen-Shannon divergence, some problems are also related to other methods based on local detection with a sliding window, and part of the study is focused to noisy and textured images.
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References
K.R. Castleman, Digital Image Processing, Prentice-Hall, 1996.
A.K. Jain, Fundamentals of Digital Image Processing, Prentice-Hall, 1986.
W.K. Pratt, Digital Image Processing, JohnWiley & Sons, 1991.
J. Canny, "A computational approach to edge detection," IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. PAMI-9, No. 6, pp. 679–698, 1986.
D.J. Park, K.M. Nam, and R.H. Park, “Edge detection in noisy images based on the co-occurrence matrix,” Pattern Recognition, Vol. 27, No. 6, pp. 765–774, 1994.
V. Barranco López, P. Luque Escamilla, J. Martínez Aroza, and R. Román Roldán, "Entropic texture-edge detection for image segmentation," Electronic Letters, Vol. 31, No. 11, pp. 867-869, 1995.
J. Lin, "Divergence measures based on the Shannon entropy," IEEE Trans. On Information Theory, Vol. 37, No. 1, pp. 145-150, 1991.
T.M. Cover and J.A. Thomas, Elements of Information Theory, John Wiley & Sons, 1991.
V. Barranco López, P. Luque Escamilla, J. Martínez Aroza, and R. Román Roldán, "Texture segmentation based on information-theoretic edge detection methods," in Proc. VI Symposium Nacional de Reconocimiento de Formas y Análisis de Imágenes. ISBN: 84-605-2447-7. Córdoba, 1995.
Ch. Atae-Allah, J.F. Gómez Lopera, J. Martínez Aroza, and R. Román Roldán, "Entropic segmentation of oceanic images," in Proc. Colloque International sur le Traitement d'Images et les Systèmes de Vision Artificielle TISVA'98. Oujda, 1998. (Prix de la meilleure communication orale)
A. Ben Hamza, Contribución al tratamiento de imágenes: filtros selectivos tipo mediana y propiedades de la divergencia de Jensen-Shannon, Ph.D. Thesis, University of Granada, 1997.
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Gómez-Lopera, J.F., Martínez-Aroza, J., Robles-Pérez, A.M. et al. An Analysis of Edge Detection by Using the Jensen-Shannon Divergence. Journal of Mathematical Imaging and Vision 13, 35–56 (2000). https://doi.org/10.1023/A:1008325607354
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DOI: https://doi.org/10.1023/A:1008325607354