%0 Journal Article
%T Geometric algebra method for multidimensionally-unified GIS computation
%A LinWang Yuan
%A GuoNian L¨¹
%A Wen Luo
%A ZhaoYuan Yu
%A Lin Yi
%A YeHua Sheng
%J Chinese Science Bulletin
%@ 1861-9541
%D 2012
%I 
%R 10.1007/s11434-011-4891-3
%X Seamless multidimensional handling and coordinate-free characteristics of geometric algebra (GA) provide means to construct multidimensionally-unified GIS computation models. Using the multivector representation for basic geometric objects within GA, we are able to construct adaptable unified geometric-topological structural models of a multidimensional geographical scene. Multidimensional operators found within the geometry, topology and GIS analysis are developed with basic GA operators. A unified computational framework is proposed, it unifies expressions and operation structures, as well as supports the analysis of multidimensional complex scenes. Finally, we illustrate modelling a three-dimensional residential district, which shows that GA-based multidimensionally-unified computation models can effectively represent and analyze complex and multidimensional geographical scenes. The development of the proposed GIS multidimensionally-unified representation, analysis, and modeling enhances current GIS algorithms and geographical models.
%K geometric algebra
%K GIS
%K multidimensionally-unified representation
%K multidimensionally-unified computation
%U http://link.springer.com/article/10.1007/s11434-011-4891-3