After successful completion of the course, students are able to...
Remember - students will be able to recall basic properties of fractals and the principles of fractal geometry.
Understand - students will be able to understand principles and methods of fractal geometry, such as self-similarity, fractal dimension, dynamic systems, approximations of fractals and visualization techniques.
Apply - students will be able to apply methods of fractal geometry, either using existing or self-implemented applications.
Analyse - students will be able to analyse shapes using methods from fractal geometry and predict the chaotic behaviour of dynamic systems.
Evaluate - students will be able to assess which shapes are suitable to be analysed and generated using fractal geometry.
Create - students will be able to implement methods from fractal geometry in applications and use them to generate fractals. They will also be able to use these techniques for the procedural modelling of natural phenomena.
Introduction to the concepts of fractal geometry.
Explanation of the different classes of fractals and their properties.
Illustration of fractal geometry through images and videos.
Discussion of algorithms for the visualization of fractals.
Demonstration of fractal applications.
ECTS breakdown (estimation, recommendation):
30 hrs. lecture
45 hrs. preparation and examination
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75 hrs. equals to 3 ECTS each of 25 hrs.
Inst. f. Computergraphik
Peitgen, Jürgens, Saupe (ed.): Chaos and Fractals, Springer-Verlag, 1992.