A Fourier Energy Spectrum Model for DEM Multi-scale Representation

LI Jingzhong; GAO Aji; CHEN Kai; ZHANG Yong

doi:10.13203/j.whugis20200315

Volume 42 Issue 11

Nov. 2022

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Geomatics and Information Science of Wuhan University > 2022 > 47(11): 1938-1945. > DOI: 10.13203/j.whugis20200315

LI Jingzhong, GAO Aji, CHEN Kai, ZHANG Yong. A Fourier Energy Spectrum Model for DEM Multi-scale Representation[J]. Geomatics and Information Science of Wuhan University, 2022, 47(11): 1938-1945. DOI: 10.13203/j.whugis20200315

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A Fourier Energy Spectrum Model for DEM Multi-scale Representation

1.
School of Resources and Environmental Sciences, Wuhan University, Wuhan 430079, China
2.
Chengdu Research Institute of Surveying and Investigation, Chengdu 610081, China

Funds:

The National Natural Science Foundation of China 42271454

the Cooperative Project of Production and Education of Education Ministry 202102136007

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Author Bio:
LI Jingzhong, PhD, associate professor, specializes in spatial data mining and multiple representations. E-mail: 00009232@whu.edu.cn
Corresponding author:
GAO Aji, PhD candidate. E-mail: gaoaji@whu.edu.cn
Received Date: December 13, 2020
Available Online: November 15, 2022
Published Date: November 04, 2022

Graphical Abstract

Abstract

Abstract

Objectives The accurate and fast multi-scale representation of digital elevation model (DEM) is the key basis for its multi-scale application. We aim to propose an automated and high-quality multi-scale representation method for DEM.
Methods We construct a model of DEM data for multi-scale representation, according to the corresponding relationship of "low-frequency - high-energy - large scale" in energy spectral density, and relate topographic semantic features in simplification.
Results The result shows that this model can dynamically derive DEM data at different scales. The figure of contour lines derived from this model can meet the basic principle of "retaining main topographic features and abandoning secondary topographic features"in topographic expression, spatial cognition and cartographic generalization. Quantificationally compared with traditional DEM simplification methods in elevation and slope shape, this method shows similar or better effect in statistical and structural significance.
Conclusions The model based on the Fourier energy spectrum can effectively express DEM data with different scale requirements.
- DEM,
- multi-scale representation,
- Fourier transform,
- energy spectral density

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References

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