Research on geometric algebra spatial representation of geographical scenes

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.