抄録
An investigation is made on the optimum design of a smoothing filter that may be applied in order to reconstruct a subsurface image based on the computer tomography technique (or so-called geotomography). Such a smoothing filter is especially necessary in geotechnical applications where the angle of projection is usually severely restricted. However, hitherto, the most intractable problem encountered when applying a smoothing filter is how to adjust the relative power of the smoothing filter to the observed data. The Akaike-Bayesian Information Criterion (ABIC), which was proposed by Akaike(1980), is applied in order to solve this problem. Some numerical experiments are carried out to examine the effectiveness of the proposed method. It is concluded that the proposed method is very effective in the process of selecting the optimum smoothing filter.