Self-adaptive Geometric Updating Method for 3D Cadastral Parcels Based on Geometric Algebra
摘要
Three-dimensional cadastral update refers to the process of performing data update operations on cadastral parcels in a cadastral database in response to changes in information such as spatial scope, parcel ownership, land use patterns, and land uses. It is an important means to maintain the authority, accuracy, and currency of cadastral data. In the daily cadastral management process, the change of parcels mainly involves two parts: attribute data update and spatial data update. The update of spatial data of cadastral parcels is mainly manifested as the adjustment of the spatial ownership scope of cadastral parcels, specifically as the update and maintenance of the geometric shapes of cadastral parcels in a cadastral database, which mainly includes the division and merger of parcels. Based on the previous multi-dimensional unified expression of three-dimensional cadastre using geometric algebra, this study proposes a self-adaptive update method for cadastral parcels based on the multi-vector structure. This method can achieve the self-adaptive update of cadastral topological relations in different dimensions during the update process, and reduce the complexity of maintaining topological relations during the update of cadastral parcels.