Hill Publishing Group | contact@hillpublisher.com

Hill Publishing Group

Location:Home / Journals / Journal of Applied Mathematics and Computation /

DOI:http://dx.doi.org/10.26855/jamc.2018.01.001

Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System

Date: March 1,2018 |Hits: 3524 Download PDF How to cite this paper

Abstract

A real vessel structure has a complicated geometry that is difficult to define. In this study, we aim to model a vessel structure using the basic principles of the Lindenmayer system. The Lindenmayer system, also known as L-system presents an iterative formula to produce a set of rules for fractal structures requiring complicated and versatile rules. In this paper, we present how we have developed an agent based fractal vessel model using L-system. The geometry of fractal vessel structure is created by using the string rewriting technique. The alphabet symbol codes produced according to the rules of the L-system are visualized by using the turtle graphic algorithm. At the end of this study, we provide the simulation of turtle graphic algorithm in the Repast Simphony framework.

References

How to cite this paper

Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System 
Sevcan Emek1, Şebnem Bora1
1Ege University, Department of Computer Engineering, 35100, Bornova/Izmir, Turkey
Corresponding author: Sevcan Emek, Ege University, Department of Computer Engineering, 35100, Bornova/Izmir, Turkey 
Email: sevcan.emek@ege.edu.tr
How to cite this paper: Emek, S. & Bora, Ş. (2018) Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System. Journal of Applied Mathematics and Computation, 2(1), 13-20.
http://dx.doi.org/10.26855/jamc.2018.01.001

Volumes & Issues

Free HPG Newsletters

Add your e-mail address to receive free newsletters from Hill Publishing Group.

Contact us

Hill Publishing Group

8825 53rd Ave

Elmhurst, NY 11373, USA

E-mail: contact@hillpublisher.com

Copyright © 2019 Hill Publishing Group Inc. All Rights Reserved.