Abstract
This paper presents a new method for two-dimensional image reconstruction by using a multilayer neural network. Though a conventionally used object function of such a neural network is composed of a sum of squared errors of the output data, we define an object function composed of a sum of squared residuals of an integral equation. By employing an appropriate numerical line integral for this integral equation, we can construct a neural network can be used for CT image reconstruction. We applied this method to some model problems and obtained satisfactory results.
