Research on geometric algebra spatial representation of geographical scenes

Fei Wang; Zikai Fan; Yaru Wang; Fangyuan Tian; Yan Li; Wen Luo

doi:10.1117/12.3020977

23 January 2024 Research on geometric algebra spatial representation of geographical scenes

Fei Wang, Zikai Fan, Yaru Wang, Fangyuan Tian, Yan Li, Wen Luo

Proceedings Volume 12978, Fourth International Conference on Geology, Mapping, and Remote Sensing (ICGMRS 2023); 129782U (2024) https://doi.org/10.1117/12.3020977
Event: 2023 4th International Conference on Geology, Mapping and Remote Sensing (ICGMRS 2023), 2023, wuhan, China

Abstract

Geographic scene modeling is crucial for achieving digital twins, and has seen significant advancements in recent years with the development of geographic scene data collection and three-dimensional modeling technologies. However, most existing modeling methods are based on the Euclidean space and rely on layer-based data organization mode, making it challenging to address the non-uniform spatiotemporal reference of multi-source heterogeneous data during geographic scene modeling. This results in complex models that do not meet specific application requirements. To address these issues, this article proposes incorporating geometric algebra (GA) theory into geographic scene representation and exploring representation methods based on GA. By leveraging the coordinate independence and dimension independence features of GA, this approach aims to resolve the problem of non-uniform spatiotemporal reference and reduce the complexity of geographic scene models while improving their availability.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Fei Wang, Zikai Fan, Yaru Wang, Fangyuan Tian, Yan Li, and Wen Luo "Research on geometric algebra spatial representation of geographical scenes", Proc. SPIE 12978, Fourth International Conference on Geology, Mapping, and Remote Sensing (ICGMRS 2023), 129782U (23 January 2024); https://doi.org/10.1117/12.3020977

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