Abstract
As one of the basic data of GIS, DEM data which expresses the surface elevation data is widely used in many fields. How to obtain a wide range of high-precision elevation data is a big challenge, the simple interpolation algorithm currently used is less accurate. Due to the fractal data characteristics of terrain data, DEM data shows strong self-similarity. Based on this feature, this paper proposes a multi-layer Dem image up-sampling method. Image up-sampling is performed multiple times in layers on the low-resolution DEM image, therefore, high-precision DEM information with less error is obtained. In this paper, elevation data of 30 m is expanded to elevation data of 10 m by gradually using this method. Experimental results show that the algorithm can achieve good results and has a small deviation from the real elevation data of 10 m.
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References
Ebrahimi, M., Vrscay, E.R.: Solving the inverse problem of image zooming using “self-examples”. In: Kamel, M., Campilho, A. (eds.) ICIAR 2007. LNCS, vol. 4633, pp. 117–130. Springer, Heidelberg (2007)
Mandelbrot, B.B.: The Fractal Geometry of Nature, vol. 51, p. 286 (1983). ISBN: 0-7167-1186-9
Mandelbrot, B.B.: Stochastic models for the Earth’s relief, the shape and the fractal dimension of the coastlines, and the number-area rule for Islands. Proc. Natl. Acad. Sci. U. S. A. 72, 3825–3828 (1975)
Mandelbrot, B.: How long is the coast of Britain? Statistical self-similarity and fractional dimension. Sci. 156, 636 (1967)
Lathrop Jr., R.G., Peterson, D.L.: Identifying structural self-similarity in mountainous landscapes. J. Landsc. Ecol. 6, 233–238 (1992)
Boming, Y.U., Jianhua, L.I.: Fractal dimensions for unsaturated porous media. Fractals 12, 17–22 (2004)
Jin, Y., Li, X., Zhao, M., Liu, X., Li, H.: A mathematical model of fluid flow in tight porous media based on fractal assumptions. Int. J. Heat Mass Transf. 108, 1078–1088 (2017)
Rouphael, T.J., Cruz, J.R.: A spatial interpolation algorithm for the upsampling of uniform linear arrays. IEEE Trans. Signal Processing 47, 1765–1769 (1999)
Kirkland, E.J.: Bilinear interpolation. In: Advanced Computing in Electron Microscopy, vol. 4, pp. 103–115. Springer, Boston (2010)
Yu, L., Lin, W., Guangheng, N., Zhentao, C.: Spatial distribution characteristics of irrigation water requirement for main crops in China. Trans. CSAE. 25, 6–12 (2009)
Woodard, R.: Interpolation of spatial data: some theory for Kriging. Technometrics 42, 2 (2000)
Freeman, W.T., Jones, T.R., Pasztor, E.C.: Example-based super-resolution. In: IEEE Computer Graphics and Applications, vol. 22, no. 2, pp. 56–65. March–April (2002)
Xin, Z., Chenlei, L., Qian, Y., Ping, G.: A patch analysis based repairing method for two dimensional fiber spectrum image. Opt. Int. J. Light. Electron Opt. 157, 1186–1193 (2018)
Jin, Y., Zhu, Y.B., Li, X.: Scaling invariant effects on the permeability of fractal porous media. J. Transp. in Porous Media. 109, 433–453 (2015)
Acknowledgments
The research work described in this paper was fully supported by the National Key R&D program of China (2017YFC1502505) and the grant from the National Natural Science Foundation of China (61472043). Qian Yin is the author to whom all correspondence should be addressed.
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Zheng, X., Chen, Z., Han, Q., Deng, X., Sun, X., Yin, Q. (2020). Self-similarity Based Multi-layer DEM Image Up-Sampling. In: Ahram, T. (eds) Advances in Artificial Intelligence, Software and Systems Engineering. AHFE 2019. Advances in Intelligent Systems and Computing, vol 965. Springer, Cham. https://doi.org/10.1007/978-3-030-20454-9_53
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