Digital relief modeling using software Surfer package and ArcGIS geoinformation system

1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Engineering geodesy department of Lviv Polytechnic National University

The represented development is devoted to researches of accuracy of created models of a relief with use the system of software for geographic data ArcGIS and software programs Surfer. The research is executed for a complex type of a relief with an estimation of restored models of и relief by two criteria: on divergences between modeling and real values of elevations and the accordance between structural dements of и relief. As mathematical models for construction DEM are considered the collocation model and its version: constrained collocation, with basic functions and method Kriging, and also analytical model on base triangulation. The tables of an estimation of accuracy of various mathematical functions and initial duta are submitted. The results of visualization DEM are given.

1.     Bojko A.V. Metody i sredstva avtomatizacii topograficheskih s#emok. - M.: Nedra, 1980. - 222 s.

2.     Burshtynska Kh.V. Kolokatsiia z umovamy u tsyfrovomu modeliuvanni relefu// Heodeziia, kartohrafiia i aerofotoznimannia. -2002. - Vyp. 62. - S. 103-110.

3.     Burshtynska Kh.V., Zaiets O.S. Teoretychni osnovy ta eksperymentalni doslidzhennia m atematychnykh funktsii dlia pobudovy tsyfrovykh modelei reliefu // Visnyk heodezii i kartohrafii. - 2002. - № 4. - S. 32-37.

4.      Devis Dzh. Statistika i analiz geologicheskih dannyh. M.: Mir. - 1997. - 571 c.

5.     Moric G. Sovremennaja fizicheskaja geodezija. Ner. s angl. - M.: Nedra. - 1983. - 392 s.

6.     Serbenjuk S.N., Koshel' S.M., Musin O.R. Metody modelirovanija geopolej po dannym v nereguljarno raspolozhennyh tochkah // Geod. i kartogr. - 1990. - № 11. - S. 31 -35.

7.     Burshtynska Kh., Zajac A. Application id differential splines for relief simulation // ISPRS Commission IV Symposium of geospatial theory, processing and application, 8-12 July 2002. Ottawa (Canady). - P. 509­514.

8.     Burshtynska Kh., Tumska O., Lelukh D. Computer Technology of Determination of Area of Digital Elevation Model // 19th ISPRS Congress, vol. XXXIII Work. Gr IV. Amsterdam (Holland). - 2000. - P. 148-154.

9.     Cooper M.A.R., Cross F.A. Statistical concepts and their application in photogrammetry and surveying (continued) // Photogramm. Rec. - 1991. - № 77. - P. 645-678.

10.    Dermanis A. Kriging and collocation - a Comparison//Manuscr. geol. - 1984. - № 3. - P. 159-167.

11.    Keller W. Interpolation irregulär verteiter Daten durch Kollokalion in kemreproduzierenden Hilberträumen // Vermessungstechnik. - 1990. -№ 6. - P. 196-199.

12.    Schaffrin В. An alternative approach to robust collocation // Bull. geod. - 1989. - № 4. - P. 395-404.