Topologically consistent modelling in a spatio-temporal context with moving objects in city models

该提案的目的是研究点、直线段、平面多边形、多面体和超多面体等时空对象配置的拓扑一致性，以满足建筑和地理信息学所需的一般性。拓扑一致性应尽可能有效地进行验证。以这种方式，正确的拓扑查询结果也可以跨细节级别。不同时间尺度的嵌入也属于时空模型的一致性。在时间离散化的各种方式中，运动和变化通常发生在这些时间尺度上。这方面导致的目的是相对于几何和拓扑完整性约束的4D对象进行分类。应对不一致的数据进行自校正和交互校正，并应使不确定性引起的拓扑错误可测量。对所发展的理论和方法进行验证。一个XML模式的一致性建模，包括对象的语义，这是尽可能简单，应导致具体的城市模型数据的应用程序。最后，应进行真实的实例测试。

The aim of this proposal is to study topological consistency of configurations of spatio-temporal objects like points, line segments, planar polygons, polyhedra and hyper-polyhedra in the generality necessary for construction and geo-informatics. Topological consistency should be verifiable as efficiently as possible. In this way, correct topological query results shall be made possible also across levels of detail. To the consistency of spatio-temporal models also belongs the embedding of different temporal scales. In various ways of temporal discretization, movements and changes in general take place at those temporal scales. This aspect leads to the aim of classifying 4D-objects with respect to geometric and topological integrity constraints. A self-correction as well as interactive correction of inconsistent data shall be performed, and topological errors due to uncertainty shall be made measurable. The developped theories and methods shall be validated. An XML-schema for consistent modelling including the semantics of objects and which is as simple as possible, shall result in an application to concrete city model data. Finally, tests with real examples shall be performed.