Self-similarity Based Multi-layer DEM Image Up-Sampling

  • Xin Zheng
  • Ziyi Chen
  • Qinzhe Han
  • Xiaodan Deng
  • Xiaoxuan Sun
  • Qian YinEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 965)


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.


Up-sampling DEM Self-similarity 



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.


  1. 1.
    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)Google Scholar
  2. 2.
    Mandelbrot, B.B.: The Fractal Geometry of Nature, vol. 51, p. 286 (1983). ISBN: 0-7167-1186-9CrossRefGoogle Scholar
  3. 3.
    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)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Mandelbrot, B.: How long is the coast of Britain? Statistical self-similarity and fractional dimension. Sci. 156, 636 (1967)CrossRefGoogle Scholar
  5. 5.
    Lathrop Jr., R.G., Peterson, D.L.: Identifying structural self-similarity in mountainous landscapes. J. Landsc. Ecol. 6, 233–238 (1992)CrossRefGoogle Scholar
  6. 6.
    Boming, Y.U., Jianhua, L.I.: Fractal dimensions for unsaturated porous media. Fractals 12, 17–22 (2004)CrossRefGoogle Scholar
  7. 7.
    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)CrossRefGoogle Scholar
  8. 8.
    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)CrossRefGoogle Scholar
  9. 9.
    Kirkland, E.J.: Bilinear interpolation. In: Advanced Computing in Electron Microscopy, vol. 4, pp. 103–115. Springer, Boston (2010)CrossRefGoogle Scholar
  10. 10.
    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)Google Scholar
  11. 11.
    Woodard, R.: Interpolation of spatial data: some theory for Kriging. Technometrics 42, 2 (2000)CrossRefGoogle Scholar
  12. 12.
    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)Google Scholar
  13. 13.
    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)CrossRefGoogle Scholar
  14. 14.
    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)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Xin Zheng
    • 1
  • Ziyi Chen
    • 1
  • Qinzhe Han
    • 1
  • Xiaodan Deng
    • 1
  • Xiaoxuan Sun
    • 1
  • Qian Yin
    • 1
    Email author
  1. 1.Image Processing and Pattern Recognition Laboratory, College of Information Science and TechnologyBeijing Normal UniversityBeijingChina

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