Design and Implementation of GIS Temporal Spatial Analysis System Based on Clifford Algebra
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Graphical Abstract
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Abstract
By introducing Clifford Algebra as the theoretical foundation and mathematical tools,a prototype temporal spatial analysis software system was proposed.The characteristics of this system can be summarized as following.① Under the premise of keeping the compatibilities with the commonly used GIS data,a new type of temporal-spatial data model,which unified the expression of both temporal,spatial and attribution components within the multivector structure,was proposed.② Geometric and metric operator libraries were defined,which can support multidimensional temporal spatial analysis.③ Plugging based temporal spatial analysis model constructing and integrating framework was implemented.Typical GIS temporal spatial analysis algorithms like multidimensional V-neighbor analysis,minimum union analysis and unified spatial-temporal process analyses with spacetime algebra were implemented and integrated.Results suggest that the proposed system can support multidimensional temporal spatial analysis effectively,which can also provide reference on improving research on unified temporal spatial analysis methods and GIS systems.
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