Topicality of the research. In compiling digital terrain models (DTM) as well as in evaluating them there are widely applied mathematical statistical measuring data processing and analysis methods. However in compiling digital models of relief and evaluating them there are certain peculiarities in mathematical statistical data application. These peculiarities are caused by the fact that relief modeling as well as analysis is considered to belong to the group of geostatic problems. The latter are peculiar for the initial results of measuring which are medium between purely random and purely determined sizes. In solving geo-statistical problems, one has to make use of regionalized data, the stochastic characteristics are the functions of geographic positions of the territory. In modeling the relief the surface geomorphologic peculiarities determine the characteristics of the functions of geographical position. Theoretical grounding of the methods used in modeling the relief surface (e.g., kriging, spline, invert distance weight (IDW), polynomal) is based on the statistical analysis of the random values. Due to the fact that the characteristics of geo-statistical measuring data are preconditioned by the geographic position, not in all territories there are equally suitable certain methods of modeling and parameters of modeling algorithms. The mentioned above reasons determine the fact that there do not exist unified digital terrain modeling methods and types, to be equally well... [to full text]

Topicality of the research. In compiling digital terrain models (DTM) as well as in evaluating them there are widely applied mathematical statistical measuring data processing and analysis methods. However in compiling digital models of relief and evaluating them there are certain peculiarities in mathematical statistical data application. These peculiarities are caused by the fact that relief modeling as well as analysis is considered to belong to the group of geostatic problems. The latter are peculiar for the initial results of measuring which are medium between purely random and purely determined sizes. In solving geo-statistical problems, one has to make use of regionalized data, the stochastic characteristics are the functions of geographic positions of the territory. In modeling the relief the surface geomorphologic peculiarities determine the characteristics of the functions of geographical position. Theoretical grounding of the methods used in modeling the relief surface (e.g., kriging, spline, invert distance weight (IDW), polynomal) is based on the statistical analysis of the random values. Due to the fact that the characteristics of geo-statistical measuring data are preconditioned by the geographic position, not in all territories there are equally suitable certain methods of modeling and parameters of modeling algorithms. The mentioned above reasons determine the fact that there do not exist unified digital terrain modeling methods and types, to be equally well... [to full text]