Simplified PCNN and its periodic solutions

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Abstract

PCNN-Pulse Coupled Neural Network, a new artificial neural network based on biological experimental results, can be widely used for image processing. The complexities of the PCNN's structure and its dynamical behaviors limit its application so simplification of PCNN is necessary. We have used simplified PCNNs to efficiently process image. In this paper dynamical behaviors of simplified PCNNs under certain conditions are analyzed in detail and we obtain the conclusion that under these conditions, simplified PCNNs have periodic solutions, i.e. their dynamical behaviors are periodical. © Springer-Verlag 2004.

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Gu, X., Zhang, L., & Yu, D. (2004). Simplified PCNN and its periodic solutions. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3173, 26–31. https://doi.org/10.1007/978-3-540-28647-9_5

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