文章基本信息

标题：Integrated Representation of (Potentially Unbounded) 2D and 3D Spatial Objects for Rigorously Correct Query and Manipulation
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作者：Rodney James Thompson ; Peter van Oosterom
期刊名称：ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
印刷版ISSN：2194-9042
电子版ISSN：2194-9050
出版年度：2010
卷号：XXXVIII - 4/W15
页码：191
出版社：Copernicus Publications
摘要：In the search for a rigorous closed algebra for the query and manipulation of the representations of spatial objects, most research,apart from a few exceptions, has focused on defining and refining the mathematical model, whereby the representation is assumed tobe defined by real-numbered coordinates in 2D or 3D space. The realization of this theory in the finite precision of a computerimplementation is problematic, and frequently leads to unexpected and unwanted results. This paper explores a restricted, but usefulrepresentation, which supports a rigorous unsorted logic within the finite precision arithmetic of computer hardware: the regularpolytope. This logic allows the derivation of a rich set of computable predicates and spatial functions. It is shown that this approachis readily implementable and is applicable to Cadastral data (with the growing need for integrated 2D and 3D representations andpotentially un-bounded representations of ownership volume parcels into outer space), and has the potential to support more generalspatial data