Fractals

Mojca Rojko (2015) Fractals. EngD thesis.

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Abstract

In 18th and 19th century a new branch of mathematics developed, today known as fractal geometry. The ideas and work of Benoit Mandelbrot have been of great importance to its fast development and since the publication of his work, many practical uses of fractals and even more often fractal dimension have been found. Fractal geometry is used in many different fields such as information theory, economy, neuroscience, medicine, physics, acoustics, image analysis and other. This thesis covers history and basics of fractal geometry, describes fundamental definitions and theorems that are necessary for understanding of the field. Concepts like measure and fractal dimension are described, especially the "box counting" method. In continuation different techniques for fractal generating are described. Along with them my practical approach to development of fractal generating software is also described and an overview of existing fractal generating software is given. I have developed computer software that is capable of generating many different types of fractals: IFS system, Mandelbrot set, L-systems, fractal flame algorithm, fractal terrain, random fractals, ...

Item Type:

Thesis (EngD thesis)

Keywords:

fractal generating, fractal graphics, fractal programming, IFS systems, L-systems, fractal terrain, random fractals, rewriting algorithms

Number of Pages:

Language of Content:

Slovenian

Mentor / Comentors:

Name and Surname	ID	Function
doc. dr. Žiga Virk		Mentor

Link to COBISS:

http://www.cobiss.si/scripts/cobiss?command=search&base=51012&select=(ID=1536524227)

Institution:

University of Ljubljana

Department:

Faculty of Computer and Information Science

Item ID:

3051

Date Deposited:

07 Sep 2015 15:40

Last Modified:

30 Sep 2015 12:00

URI:

http://eprints.fri.uni-lj.si/id/eprint/3051

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