Geometrical data validation in 3D digital cadastre − A case study for Victoria, Australia

Abstract

Data ambiguity and invalidity can cause significant expensive issues in the cadastral domain (e.g. legal disputes). An automated data validation can significantly help to reduce the potential issues. Quality assurance has been comprehensively investigated in various domains, however, the validation of 3D cadastral data is still in its early development. The availability of various regular and irregular shapes for 3D cadastral objects and modern building designs has resulted in a critical need for developing validation rules to ensure data validity and quality.The land registry in Victoria, Australia, is investigating the technical requirements for implementing a 3D digital cadastre. The study of 3D cadastral data validation requirements has been part of this ongoing investigation. This study is being undertaken in three main phases including 1) developing geometrical validation rules, 2) developing non-geometrical validation rules, 3) implementing an online service to validate 3D cadastral data. This paper aims to discuss the initial outcomes of the first phase of the aforementioned study which has focused on developing geometrical validation rules for 3D cadastral objects. The paper reviews the development of four geometrical validation rules which have been formalised using mathematical expressions to check the individual 3D parcels and their relationships with adjoining or neighbouring parcels. The first validation rule checks the compatibility of the cancelled parcel against the created parcels. The second rule deals with parcel collision detection which is required for flagging unacceptable intersection of 3D objects. The third rule ensures the faces forming a 3D parcel are flat. The fourth validation rule assures 3D objects are watertight. The paper concludes with a discussion around the impacts of the proposed validation checks on the subdivision process and future research for the Victorian 3D digital cadastre.

Calculation for Multidimensional Topological Relations in 3D Cadastre Based on Geometric Algebra

“…with higher dimensions), as shown in Figure 1 [9]. For example, a hanging point is an isolated point that does not belong to any boundary line, boundary surface, or a parcel volume.…”

“…Three dimensional topological analysis plays an important role in verifying the topological consistency of 3D cadastral data, updating cadastral parcels, and ensuring the accuracy of cadastral data [1][2][3][4][5][6][7][8][9][10]. It is of great significance to the development and realization of 3D cadastral management.…”

“…Many methods and theories for topology analysis have been proposed that are helpful for cadastral topology analysis [22][23][24][25]. However, topological relation analysis for cadastre is rather different from topology in other fields [8,9]. Both topologies among different cadastral parcels [8] and topologies among constructive elements with different dimensions that compose the cadastral parcels [9] need to be considered.…”

“…However, topological relation analysis for cadastre is rather different from topology in other fields [8,9]. Both topologies among different cadastral parcels [8] and topologies among constructive elements with different dimensions that compose the cadastral parcels [9] need to be considered. This means that 3D cadastral models must maintain both topological and geometric information of cadastral objects.…”

Strategic Actions for Increasing the Submission of Digital Cadastral Data by the Surveying Industry Based on Lessons Learned from Victoria, Australia

“…Over the past three years, among the technical, legal and institutional aspects of a 3D digital cadastre [4,33], the focus has mainly been on investigating the technical aspects including 3D data visualization, validation and modelling to support building subdivision plans in ePlan [33][34][35]. The legal and institutional aspects have not yet been researched.…”