On the design of CGAL a computational geometry algorithms library
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On 3D Topological Relationships
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Proceedings of the 13th annual ACM international workshop on Geographic information systems
Topological analysis of 3D building models using a spatial query language
Advanced Engineering Informatics
Data structures and intersection algorithms for 3D spatial data types
Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
ER'11 Proceedings of the 30th international conference on Advances in conceptual modeling: recent developments and new directions
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Although spatial objects of our world have an intrinsic three-dimensional (3D) nature, 3D data modeling and 3D data management have so far been neglected in spatial database systems and Geographical Information Systems, which map geometric data mainly to two-dimensional abstractions. But increasingly the third dimension becomes more and more relevant for application domains like pollution control, water supply, soil engineering, urban planning, and aviation. Large volumes of 3D data require a treatment in a database context for representing, querying, and manipulating them efficiently. This paper aims at investigating the complex inherent features of 3D data and presents an abstract, formal data model called SPAL3D Spatial Algebra 3D). The data model comprises a set of three-dimensional spatial data types together with a collection of geometric set operations.