Image reconstruction by shapefree radial basis function neural networks (RBFNs)

Abstract

With the growth of artificial intelligence technologies, the research on artificial neural networks (ANNs) has been paid much more attention. Radial basis function neural networks (RBFNs) are a type of ANNs that are referred to as models that replicate the role of biological neural networks. While their applications are growing in a wide range of areas, conventional forms of RBFs contain a highly problem-dependent shape parameter, making it not as convenient as one would expect. This work investigates the numerical effectiveness of RBFs containing no shapes, so they are referred to as ‘shapefree’, under the application of image reconstruction. Nine forms of shapefree RBFs have been gathered and implemented in conjunction with the RBFNs. Two popular images (known as Lena and Plane) are damaged in Salt-and-Pepper manner before being repaired by the networks using these shapefree RBFs. The overall performances are monitored based on error norm, CPU-time and storage, and condition number. This aims to provide useful information regarding choices of RBFs for future uses, to overcome the pain one faces from choosing a suitable value of shape parameter.

Generalized Multiquadric Neural Networks in Image Reconstruction

“…the randomly chosen pixels are replaced either by 0 or 255, as shown in Figure 2. Other attempts under this context can also be found in [7,[10][11][12]. The root mean square error (RMSE), CPU-time and storage, and the mean condition number ( ( )…”