地图目标在制图综合中的分形衰减机理研究
Fractal Attenuation Analysis of Cartographic Object’s Self-similarity on Cartographic Generalization
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摘要: 在分形扩展研究的基础上,结合地图综合的理论,分析了地图目标的自相似性在地图综合中的分形衰减现象,并研究了其变化原因和机理。结果表明,考虑了分形衰减现象的地图综合方法比原来认为分维数是定值的综合方法表现出了明显的优越性。Abstract: This paper uses fractal geometry as a tool and fractal dimension as a measurement parameter to analyze the phenomena of fractal attenuation of cartographic object on cartography generalization. Different from thinking fractal dimension as a fixed value in cartography generalization, the authors think that the fractal dimension is a variable value and with the variation of the scale it will tend to decrease.