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The morphing of geographical features by Fourier transformation

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  • Jingzhong Li
  • Pengcheng Liu
  • Wenhao Yu
  • Xiaoqiang Cheng

Abstract

This paper presents a morphing model of vector geographical data based on Fourier transformation. This model involves three main steps. They are conversion from vector data to Fourier series, generation of intermediate function by combination of the two Fourier series concerning a large scale and a small scale, and reverse conversion from combination function to vector data. By mirror processing, the model can also be used for morphing of linear features. Experimental results show that this method is sensitive to scale variations and it can be used for vector map features’ continuous scale transformation. The efficiency of this model is linearly related to the point number of shape boundary and the interceptive value n of Fourier expansion. The effect of morphing by Fourier transformation is plausible and the efficiency of the algorithm is acceptable.

Suggested Citation

  • Jingzhong Li & Pengcheng Liu & Wenhao Yu & Xiaoqiang Cheng, 2018. "The morphing of geographical features by Fourier transformation," PLOS ONE, Public Library of Science, vol. 13(1), pages 1-13, January.
    • Handle: RePEc:plo:pone00:0191136
    DOI: 10.1371/journal.pone.0191136
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