Abstract
This paper deals with the mathematical morphology as a cluster approach to image processing and the Hough transformation as an object of statistical physics. It is shown that the operation in mathematical morphology is equivalent to a single step of dynamics in a special neural network. We investigate dynamics of an image (the neural network) and examine the relation between the time interval to reach to an associative memory and the threshold. As for the Hough transformation, we derive the free energy expression for the transformation and proposed the Gaussian sum method.
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© 1996 Plenum Press, New York
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Kaburagi, M., Motomura, Y., Ou, Q., Ohtsuki, K., Ono, A. (1996). Cluster Approach to Pattern Recognition. In: Morán-López, J.L., Sanchez, J.M. (eds) Theory and Applications of the Cluster Variation and Path Probability Methods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0419-7_22
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DOI: https://doi.org/10.1007/978-1-4613-0419-7_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8043-6
Online ISBN: 978-1-4613-0419-7
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