New Method of Visibility Network and Statistical Pattern Network Recognition Usage in Terrain Surfaces

Author:

Babič Matej1,Huber Miłosz Andrzej2,Bielecka Elzbieta3,Soycan Metin4,Przegon Wojciech5,Gigović Ljubomir6,Drobnjak Siniša7,Sekulović Dragoljub7,Pogarčić Ivan8,Miliaresis George9,Mikoš Matjaž10,Komac Marko10

Affiliation:

1. Jožef Stefan Institute , Slovenia

2. Maria Curie–Sklodowska University , Lublin , Poland

3. Military University of Technology , Faculty of Civil Engineering and Geodesy , Poland

4. Yildiz Technical University , Faculty of Civil Engineering, Department of Geomatic Engineering Davutpasa Campus TR-34220 Esenler- Istanbul - Turkey

5. University of Agriculture in Krakow , Poland

6. University of Defence , Military Academy , Serbia

7. Military Geographical Institute , Belgrade , Serbia

8. Juraj Dobrila University of Pula , Croatia

9. University of Patras , Greece

10. Faculty of Civil and Geodetic Engineering , University of Ljubljana Slovenia

Abstract

Abstract Many problems in the analysis of natural terrain surface shapes and the construction of terrain maps to model them remain unsolved. Almost the whole process of thematic interpretation of aerospace information consists of a step-by-step grouping and further data conversion for the purpose of creating a completely definite, problematically oriented picture of the earth’s surface. In this article, we present application of a new method of drawing 3D visibility networks for pattern recognition and its application on terrain surfaces. For the determination of complexity of 3D surface terrain, we use fractal geometry method. We use algorithm for constructing the visibility network to analyse the topological property of networks used in complex terrain surfaces. Terrain models give a fast overview of a landscape and are often fascinating and overwhelmingly beautiful works by artists who invest all their interest and an immense amount of work and know-how, combined with a developed sense of the portrayed landscape, in creating them. At the end, we present modelling of terrain surfaces with topological properties of the visibility network in 3D space.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference22 articles.

1. [1] Kowalczyk, A.M. (2015): The use of scale-free networks theory in modeling landscape aesthetic value networks in urban areas. Geodetski vestnik, 59(1), pp. 135–152.

2. [2] Ben-Moshe, B., Hall-Holt, O., Katz, M.J., Mitchell, J.S.B. (2004): Computing the visibility graph of points within apolygon. SCG’04 Proc. of the 20th Annual Symposium on Computational Geometry: Brooklyn, New York, USA; pp. 27–35.

3. [3] Overmars, M.H., Welzl, E. (1998): New methods for constructing visibility graphs. In: Proc. 4th Annu. ACM Symp. Computational Geometry. Urbana: Illinois; pp. 164–171.

4. [4] Stempien, D.C. (2002): Terrain models as battlefield visualization training tools. In: Military Intelligence Professional Bulletin. 28(4). Huachuca City. Arizona; pp. 33–35.

5. [5] Wilson, J.P., Gallant, J.C. (2000): Digital Terrain Analysis. In: Wilson. J.P., Gallant, J.C. (ed.). Terrain Analysis: Principles and Applications, Chapter 1. New York: Wiley; pp. 1–27.

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