Geometric algebra-based modeling and analysis for multi-layer, multi-temporal geographic data. 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.
References in zbMATH (referenced in 1 article )
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- Hu, Yong; Luo, Wen; Yu, Zhaoyuan; Yuan, Linwang; Lü, Guonian: Geometric algebra-based modeling and analysis for multi-layer, multi-temporal geographic data (2016)