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Shortest path algorithm in GIS network analysis based on Clifford algebra

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4 Author(s)
Jiyi Zhang ; Key Laboratory of VGE, Ministry of Education, Nanjing Normal University, Nanjing, P.R. China ; Wen Luo ; Linwang Yuan ; Weichang Mei

Based on Clifford algebra, a shortest path analysis algorithm is proposed in this paper. Dimensions free distance and intersection operators are defined in a homogeneous space. By using these operators, we extract the adjacency matrix automatically from geographical network data. Locally dynamical layer separation and shortest path query mechanism are constructed based on the outer product. The experiment on China National Highway Road data suggests that the algorithm is comparable in both result and computational performance, and with the potentiality to extend to higher dimensions.

Published in:

Future Computer and Communication (ICFCC), 2010 2nd International Conference on  (Volume:1 )

Date of Conference:

21-24 May 2010