Print Email Facebook Twitter Validity of Mixed 2D and 3D Cadastral Parcels in the Land Administration Domain Model Part of: 3rd International FIG Workshop on 3D Cadastres· list the conference papers Title Validity of Mixed 2D and 3D Cadastral Parcels in the Land Administration Domain Model Author Thompson, Rodney James van Oosterom, Peter Date 2012-10-25 Abstract The Land Administration Domain Model (ISO 19152) (ISO-TC211 2012) defines a specific geometry form which allows the clean and simple mixing of 3D cadastral objects such as volumetric parcels with the more common 2D parcels. It does this by introducing a concept of boundary surfaces, known as “face strings”. The unbounded nature in the vertical direction of the “face strings” corresponds to the unbounded nature of 2D parcels, that is, they comprise the boundaries of infinite 3D columns of space (see ISO-TC211 2012 Figure B.2 Page 48). This, in combination with the more usual finite “face” used to define a completely bounded 3D parcel, allows a highly efficient storage structure, without sacrificing the rigour of the definitions (while remaining compatible with the vast amount of existing 2D cadastral data). A set of axioms has been developed that can be used for formalizing the validation of individual completely bounded 3D cadastral parcels in general, or for formalizing the validation of a set forming a complete coverage of completely bounded 3D parcels (Thompson and van Oosterom 2011; Thompson and van Oosterom 2012). This paper extends this set of geometric validity axioms specifically to the LADM, ensuring that the individual parcels can be correctly validated, whether they be: 1. defined by 2D primitives (the “face strings”, representing unbounded 3D columns), 2. defined by 3D primitives (“faces”, representing bounded 3D spaces), or 3. defined by a combination of the two (see ISO-TC211 2012 Figure B.4 Page 49). It will also be ensured that the “outside of the world” is correctly handled. That is to say, where cadastral parcels abut the outer limit of the jurisdictional region. Further, the validity of the remaining top and bottom parts of the columns of the volume of interest (after “extracting” completely bounded 3D parcels) is explored. These parts also correspond to partially bounded 3D parcels. Finally, the validity of “liminal” parcels (2D parcels which abut 3D parcels) is addressed. The other major aspect considered is that the LADM defines several levels of encoding – from the purely textural definition of parcels through point-based parcels, line based parcels and polygon based parcels to the full topological encoding of a parcel coverage. Not all of these are equally suitable for geometric validation, but those that are are identified, and the appropriate axioms and necessary extensions are identified. The axioms have to be ‘translated’ and applied at the appropriate encoding level. It should be noted that axioms use concepts that typically belong to (or best fit) a certain encoding level; e.g. using topology concepts such as node and edge. Subject LADMIntegrating 2D and 3DParcelsValidation To reference this document use: http://resolver.tudelft.nl/uuid:cd104e01-5594-4e3c-b7b9-34ae836a3e71 Part of collection Conference proceedings Document type conference paper Rights (c) the authors Files PDF 3Dcad_2012_49.pdf 238.34 KB Close viewer /islandora/object/uuid:cd104e01-5594-4e3c-b7b9-34ae836a3e71/datastream/OBJ/view