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Geometric Algebra-based Modeling and Analysis for Multi-layer, Multi-temporal Geographic Data

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Abstract

Aiming at the modeling and analysis of the multi-layer, multi-temporal geographical model simulation data, the geometric algebra (GA) is introduced to design methods for data modeling, spatio-temporal queries and dynamic visualization. Algorithms, including the slices and cross-section, area and volume computation, morphology characteristics computation and change detection, are constructed directly based on the GA operators. We developed a prototype system “GA-Coupling Analyzer” to integrate all the methods. The system is demonstrated with the simulation data of Antarctic “Ice–Ocean–Land” coupled changes. The results suggest that our approach can provide a unified geometric meaningful approach for complex geo-simulation data representation and analysis. The representation can well integrate the geometric representation and algebraic computation. With the powerful GA operators, the spatio-temporal analysis methods can be directly and simply constructed and implemented.

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Authors and Affiliations

  1. Key Laboratory of Virtual Geographic Environment, Ministry of Education, Nanjing, China

    Yong Hu, Wen Luo, Zhaoyuan Yu, Linwang Yuan & Guonian Lü

  2. Department of Computer Science and Technology, Nanjing Normal University, No.1 Wenyuan Road, Nanjing, China

    Yong Hu

  3. Jiangsu Center for Collaborative Innovation in Geographical Information Resource, Development and Application, Nanjing Normal University, No.1 Wenyuan Road, Nanjing, China

    Zhaoyuan Yu, Linwang Yuan & Guonian Lü

Authors
  1. Yong Hu
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  2. Wen Luo
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  3. Zhaoyuan Yu
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  4. Linwang Yuan
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  5. Guonian Lü
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Correspondence to Zhaoyuan Yu.

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Hu, Y., Luo, W., Yu, Z. et al. Geometric Algebra-based Modeling and Analysis for Multi-layer, Multi-temporal Geographic Data. Adv. Appl. Clifford Algebras 26, 151–168 (2016). https://doi.org/10.1007/s00006-015-0574-5

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  • DOI: https://doi.org/10.1007/s00006-015-0574-5

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