Computing the Fractal Dimension of Coastlines via Google Maps

Abstract

The problem of different lengths of early coastline measurements has become an important driving force for the development and breakthrough of fractal theory Nowadays fractal theory has been widely used in various fields for half a century In the measurement of coastline fractal dimensions such as compass and box counting methods are the main ways to calculate the fractal dimension but the results of various research measurements are not the same Under the soaring theory of fractals did the original fundamental shoreline measurement problem have a clear result in modern times? The purpose of this research is to establish a set of fractal dimension process and analysis for calculating the coastline based on the measurement of Box-counting Dimension The Google Maps of the vector graphic map is used as the basis for the measurement of the image Image data is placed into the boundary detection method of image processing to obtain the boundary of the coastline The boundary of the coastline is obtained which is calculated by presenting a square pixel on the screen as a grid in the box count dimension Use the results to discuss the differences between measurement methods

Date of Award	2019
Original language	English
Supervisor	Yei-Chin Chao (Supervisor)