Abstract

This paper deals with neural networks of 8-neighbor for image restoration which are used for gray images. Generally, since comparatively long operation time is needed when a neural network is applied to a certain problem, it is important to estimate the convergence rate of the neural network in order to evaluate the operation time. In this paper, the theoretical convergence rate of the neural network for image restoration is derived both for the case where an image consists of not many pixels and for the case where an image consists of many pixels. Furthermore, it is shown that the two convergence rates are appropriate through a numerical experiment.

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