University of Twente Student Theses
Fractal art : on transformations, the root-placement of butterfly-like fractals and image approximation.
Hut, T. (2022) Fractal art : on transformations, the root-placement of butterfly-like fractals and image approximation.
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| Abstract: | This thesis is concerned with fractal art obtained with the Newton algorithm. Three crucial results are obtained. First the relation between transformations on the roots of a polynomial and the transformation on its Newton fractal are proved. Second, a characterisation is defined and the placement of the roots of a polynomial that have that characterisation is determined.The characterisation defined are butterfly-like fractals for polynomials of degree four. Third, a method for the approximation of an image with Newton fractals using the least squares method is provided. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/92006 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
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