Data structures for quadtree approximation and compression
Communications of the ACM
Various views on spatial prepositions
AI Magazine
Basic meanings of spatial relations: computation and evaluation in 3D space
AAAI'94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 2)
Qualitative distance and direction reasoning in geographic space
Qualitative distance and direction reasoning in geographic space
Topological relations in the world of minimum bounding rectangles: a study with R-trees
SIGMOD '95 Proceedings of the 1995 ACM SIGMOD international conference on Management of data
A three-dimensional spatial model for the interpretation of image data
Representation and processing of spatial expressions
Maintaining knowledge about temporal intervals
Communications of the ACM
Spatial databases with application to GIS
Spatial databases with application to GIS
New methods for topological clustering and spatial access in object-oriented 3D databases
Proceedings of the 9th ACM international symposium on Advances in geographic information systems
Building Product Models: Computer Environments Supporting Design and Construction
Building Product Models: Computer Environments Supporting Design and Construction
An Object Model of Direction and Its Implications
Geoinformatica
An Efficient Pictorial Database System for PSQL
IEEE Transactions on Software Engineering
Extending a DBMS for Geographic Applications
Proceedings of the Fifth International Conference on Data Engineering
Advanced SQL 1999: Understanding Object-Relational, and Other Advanced Features
Advanced SQL 1999: Understanding Object-Relational, and Other Advanced Features
Spatial data management for virtual product development
Computer Science in Perspective
Efficient computation and data structures for graphics.
Efficient computation and data structures for graphics.
Integrated spatial reasoning in geographic information systems: combining topology and direction
Integrated spatial reasoning in geographic information systems: combining topology and direction
Similarity assessment for cardinal directions between extended spatial objects
Similarity assessment for cardinal directions between extended spatial objects
Building information modelling - Experts' views on standardisation and industry deployment
Advanced Engineering Informatics
Deployment of an AEC industry sector product model
Computer-Aided Design
Modelling 3D spatial objects in a geo-DBMS using a 3D primitive
Computers & Geosciences
Topological analysis of 3D building models using a spatial query language
Advanced Engineering Informatics
Advanced Engineering Informatics
Design and implementation of a space model server for indoor location-based services
Proceedings of the 2012 ACM Conference on Ubiquitous Computing
Integrating semantic directional relationships into virtual environments: a meta-modelling approach
EGVE - JVRC'11 Proceedings of the 17th Eurographics conference on Virtual Environments & Third Joint Virtual Reality
An automated stabilisation method for spatial to structural design transformations
Advanced Engineering Informatics
Automatic execution of workflows on laser-scanned data for extracting bridge surveying goals
Advanced Engineering Informatics
Intelligent BIM-based construction scheduling using discrete event simulation
Proceedings of the Winter Simulation Conference
Automated design studies: Topology versus One-Step Evolutionary Structural Optimisation
Advanced Engineering Informatics
Automatic design and planning of scaffolding systems using building information modeling
Advanced Engineering Informatics
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A spatial query language enables the spatial analysis of building information models and the extraction of partial models that fulfill certain spatial constraints. Among other features, the developed spatial query language includes directional operators, i.e., operators that reflect the directional relationships between 3D spatial objects, such as northOf, southOf, eastOf, westOf, above and below. The paper presents in-depth definitions of the semantics of two new directional models for extended 3D objects, the projection-based and the halfspace-based model, by using point-set theory notation. It further describes the possible implementation of directional operators using a newly developed space-partitioning data structure called slot-tree, which is derived from the objects' octree representation. The slot-tree allows for the application of recursive algorithms that successively increase the discrete resolution of the spatial objects employed and thereby enables the user to trade-off between computational effort and the required accuracy. The article also introduces detailed investigations on the runtime performance of the developed algorithms.