Fractal dimension of India using multicore parallel processing

Abstract

Fractal dimension measures the degree of geometric irregularity present in the objects. The divider method and the box-counting method are two classical approaches for computing fractal dimension of natural objects and other fractals. In this article we calculate the fractal dimension of border of India and coastline of India using a novel multicore parallel processing algorithm by both these methods. The reliability of the coastline length (in use at present) is also discussed by recovering the power law from the computational results. Simulations are done on a parallel computer with the QGIS software, R−programming language and Python codes.