On the stationary state of Kohonen's self-organizing sensory mapping
Biological Cybernetics
Introduction to the theory of neural computation
Introduction to the theory of neural computation
Topology representing networks
Neural Networks
Self-organizing maps
Topology preservation in self-organizing feature maps: exact definition and measurement
IEEE Transactions on Neural Networks
Reconstruction Algorithms with Images Inferred by Self-organizing Maps
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
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A relaxation algorithm influenced by self-organizing maps for image restoration is presented in this study. Self-organizing maps have been hitherto studied for the ordering process and the convergence phase of weight vectors. As another approach of self-organizing maps, a novel algorithm of image restoration is proposed. The present algorithm creates a map containing one unit for each pixel. Utilizing pixel values as input, the image inference is carried out by self-organizing maps. Then, an updating function with a threshold is introduced, so as not to respond to a noisy input sensitively. Therefore, the inference of original image proceeds appropriately since any pixel is influenced by surrounding pixels corresponding to the neighboring setting. In the restoration process, the effect of the initial threshold and the initial neighborhood on accuracy is examined. Experimental results are presented in order to show that the present method is effective in quality.