BOX-COUNTING DIMENSION RELATED TO THE BOUNDARY OF HEXAGONAL ARRAYS FOR AN EFFICIENT DIGITAL EARTH MODEL
BOX-COUNTING DIMENSION RELATED TO THE BOUNDARY OF HEXAGONAL ARRAYS FOR AN EFFICIENT DIGITAL EARTH MODEL
复制标题
高效数字地球模型中与六边形阵列边界相关的盒数维数
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Xiqiang Zheng
中科院分区：
文献类型：
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作者：
Xiqiang Zheng
An interesting sequence of arrays on hierarchical hexagonal grids was employed by PYXIS Innovation Inc. for an efficient digital earth model. These arrays constitute a Cauchy sequence in terms of Hausdorff distance. In this paper, we show that the box-counting dimension for the boundary of the limit of this sequence is $frac {ln{4}}{ln{3}}$.
