扩展分维在地图信息综合中的应用

文中强调通常的分维与扩展分维的本质差异。作者主张综合应遵循非自相似准则,即非线性原理。文中用D-P方法建模,因为后者所使用的限差ε直接和地图曲线信息综合的D-P方法相联系。关键问题是要将多分辨率序列与多比例尺序列实现某种对应。本文用基于河流自身的自动预综合机理分析方法建立分维模型参量(L)序列与地图信息综合主要参量(M)序列之间的映射关系,最终把地图比例尺序列Mi与粗视化限差序列iε联系起来,借此实现基于扩展分维的河流自动综合。

Application of extended fractal dimension in map generalization

In this paper the essential differences between the ordinary fractal dimension and the extended one were emphasized.Author had the point of view that the generalization should follow the non-similarity principle,namely the nonlinear principle.Extended fractal modeling was implemented by D-P method,because it uses the threshold ε which has a direct relationship with the D-P method of curve generalization.The key problem is to establish the rational correspondence between the multi-resolution and multi-scale series.Author established the mapping relation between fractal dimension parameter L and map generalization parameter M through the automatic pre-generalization of river entity.Thereby the extended fractal based river feature generalization was realized in principle.