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A Fast Algorithm to Estimate the Deepest Points of Lakes for Regional Lake Registration

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  • Zhanfeng Shen
  • Xinju Yu
  • Yongwei Sheng
  • Junli Li
  • Jiancheng Luo

Abstract

When conducting image registration in the U.S. state of Alaska, it is very difficult to locate satisfactory ground control points because ice, snow, and lakes cover much of the ground. However, GCPs can be located by seeking stable points from the extracted lake data. This paper defines a process to estimate the deepest points of lakes as the most stable ground control points for registration. We estimate the deepest point of a lake by computing the center point of the largest inner circle (LIC) of the polygon representing the lake. An LIC-seeking method based on Voronoi diagrams is proposed, and an algorithm based on medial axis simplification (MAS) is introduced. The proposed design also incorporates parallel data computing. A key issue of selecting a policy for partitioning vector data is carefully studied, the selected policy that equalize the algorithm complexity is proved the most optimized policy for vector parallel processing. Using several experimental applications, we conclude that the presented approach accurately estimates the deepest points in Alaskan lakes; furthermore, we gain perfect efficiency using MAS and a policy of algorithm complexity equalization.

Suggested Citation

  • Zhanfeng Shen & Xinju Yu & Yongwei Sheng & Junli Li & Jiancheng Luo, 2015. "A Fast Algorithm to Estimate the Deepest Points of Lakes for Regional Lake Registration," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-15, December.
  • Handle: RePEc:plo:pone00:0144700
    DOI: 10.1371/journal.pone.0144700
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    Cited by:

    1. Burak Beyhan & Cüneyt Güler & Hidayet Tağa, 2020. "An algorithm for maximum inscribed circle based on Voronoi diagrams and geometrical properties," Journal of Geographical Systems, Springer, vol. 22(3), pages 391-418, July.

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