A novel fractal interpolation function algorithm for fractal dimension estimation and coastline geometry reconstruction: a case study of the coastline of Kingdom of Saudi Arabia

Akhlaq Husain (), Suhas Gumma (), Mohammad Sajid (), Jaideep Reddy () and Mohammad T. Alresheedi ()
Additional contact information
Akhlaq Husain: Jamia Millia Islamia
Suhas Gumma: BML Munjal University
Mohammad Sajid: Qassim University
Jaideep Reddy: BML Munjal University
Mohammad T. Alresheedi: Qassim University Buraydah

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 4, 1-16

Abstract: Abstract Fractal dimension represents the geometric irregularity of an object with respect to the underlying space and is used for several characterizations. The divider method and the box counting method are two classical methods to compute the fractal dimension of fractals, coastlines, natural objects and other complex systems. In this work, we present a novel, extremely efficient algorithm based on the fractal interpolation function (FIF) method for estimating the fractal dimension of coastlines and for reconstructing the coastline geometry. The algorithm is implemented for the coastline of the Kingdom of Saudi Arabia (KSA) as a case study. For validating the accuracy of the proposed algorithm in estimating the fractal dimension we compare our results with those obtained using the divider and the box-counting method. We also reconstruct the coastline geometry of KSA using our algorithm which generates functions (interpolants) that matches the coastline geometry very accurately. Numerical simulations are obtained using a robust, parallel multi-processing library, an $$R-$$ R - program, Python codes, a dynamic programming algorithm, binary search algorithm and the QGIS software. Graphical abstract KSA coastline geometry, methodology and flowchart of the proposed FIF algorithm

Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-024-00696-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:97:y:2024:i:4:d:10.1140_epjb_s10051-024-00696-2

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-024-00696-2

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().