Akademik Veri Yönetim Sistemi
First Intercontinental Geoinformation Days, Mersin University, 25 - 26 Aralık 2020, ss.240-243
3D deformation studies are usually based on 12-parameter affine transformation model.
Deformation part of this model is expressed with three scale factors and three skew
parameters along x, y, z axes. However, actual deformation of the monitored object may have
a different structure than the one prescribed by this model. For instance, there may exist
skewness along only xy plane, or one dilation along only z-axis. In this sense, we encounter
with possible fifteen different deformation models such as 7-parameter (similarity), 8-
parameter affine, 10-parameter affine, etc. The question arising is which one fits best to the
coordinates. For this aim, we use Akaike Information Criterion (AIC) and Bayesian
Information Criterion (BIC). The efficiencies of these criteria are studied within many
deformation examples using Monte-Carlo simulations. According to the numerical examples,
both criteria can detect the true model successfully with a success rate ranging from 53 to 97%
if the deformation parameter is three times bigger than its standard error.