ISO 25178-2 specifies areal field parameters as well as areal feature parameters. While for the first group the whole set of points defining a scale-limited surface is considered, for the second group only a subset of surface features is taken into account. As a consequence, an adequate data structure for surface characterisation in combination with an appropriate method for surface simplification are required. Three data structures for surface characterisation, namely, Morse-Smale complexes , weighted surface networks and change trees are discussed. Hereafter, the focus is laid on approaches for determining the relevance of topological features with respect to surface topography. Another topic of interest is surface simplification, i.e. the process of deriving from an original surface a second surface of decreased complexity, but with its structural properties being retained. Within the geosciences this concept is associated with the transition from l...

中文翻译：

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表面—拓扑和拓扑

ISO 25178-2指定了区域字段参数以及区域特征参数。对于第一组，将考虑定义比例尺受限表面的整个点集，而对于第二组，仅考虑表面特征的子集。结果，需要用于表面表征的适当数据结构与用于表面简化的适当方法相结合。讨论了三种用于表面表征的数据结构，即莫尔斯-马累复合体，加权表面网络和变化树。此后，重点放在确定拓扑特征相对于表面拓扑的相关性的方法上。另一个有趣的话题是表面简化，即从原始表面派生出复杂性降低的第二个表面的过程，但保留其结构特性。在地球科学中，这一概念与从地球到地球的过渡有关。