Abstract

3D cadastres aim to record, manage, and visualise spatial dimensions of volumetric legal objects in a 3D digital information environment. Definition of the geometry and topology of volumetric representations of legal objects is predicated on solid modelling approaches which are widely used in 3D modelling applications. Some solid modelling approaches are more user friendly for constructing legal objects while others enable the creation of 3D legal objects with a higher level of spatial complexity. This study aims to assess the capabilities of solid models in managing the geometry and topology of 3D legal objects with various spatial complexities. The assessment was conducted based on identification of the fundamental principles for defining geometry and topology in 3D cadastres. Various 3D legal objects with different geometric shapes were examined according to the topological principles for ensuring both internal and external validity of 3D legal objects. The identified geometric and topological principles were used to propose a new framework based on solid modelling for 3D cadastres. Our suggested framework would provide the basis for modifying land subdivision policies to adopt solid models in upgrading current cadastral systems into 3D digital environments.

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