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

该方案的目的是研究时空对象如点、线段、平面多边形、多面体和超多面体在构造和地理信息学所需的一般性情况下的拓扑一致性。应尽可能有效地验证拓扑一致性。通过这种方式，正确的拓扑查询结果也可以跨细节级别实现。时空模型的一致性也属于不同时间尺度的嵌入。在时间离散化的各种方式中，运动和变化一般发生在这些时间尺度上。这方面导致了关于几何和拓扑完整性约束对4D对象进行分类的目的。应对不一致的数据进行自我修正和交互修正，并使不确定引起的拓扑误差可测量。对已开发的理论和方法进行验证。用于包括对象语义的一致性建模的XML模式应尽可能简单，从而将其应用于具体的城市模型数据。最后，用实例进行测试。

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.