澳大利亚海岸线的分形维数。

Fractal dimension of coastline of Australia.

机构信息

Department of Applied Sciences, BML Munjal University, Gurgaon, Haryana, 122413, India.

School of Engineering and Technology, BML Munjal University, Gurgaon, Haryana, 122413, India.

出版信息

Sci Rep. 2021 Mar 18;11(1):6304. doi: 10.1038/s41598-021-85405-0.

DOI:10.1038/s41598-021-85405-0

PMID:33737585

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7973742/

Abstract

Coastlines are irregular in nature having (random) fractal geometry and are formed by various natural activities. Fractal dimension is a measure of degree of geometric irregularity present in the coastline. A novel multicore parallel processing algorithm is presented to calculate the fractal dimension of coastline of Australia. The reliability of the coastline length of Australia is addressed by recovering the power law from our computational results. For simulations, the algorithm is implemented on a parallel computer for multi-core processing using the QGIS software, R-programming language and Python codes.

摘要

海岸线在本质上是不规则的，具有（随机）分形几何形状，是由各种自然活动形成的。分形维数是衡量海岸线几何不规则程度的一种度量。本文提出了一种新的多核并行处理算法，用于计算澳大利亚海岸线的分形维数。通过从我们的计算结果中恢复幂律关系，解决了澳大利亚海岸线长度的可靠性问题。在仿真中，该算法使用 QGIS 软件、R 编程语言和 Python 代码在并行计算机上的多核处理中实现。