Název: | Polynomiography with non-standard iterations |
Autoři: | Gdawiec, Krzysztof Kotarski, Wiesław Lisowska, Agnieszka |
Citace zdrojového dokumentu: | WSCG 2014: Poster Papers Proceedings: 22nd International Conference in Central Europeon Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS Association, p. 21-26. |
Datum vydání: | 2014 |
Nakladatel: | Václav Skala - UNION Agency |
Typ dokumentu: | konferenční příspěvek conferenceObject |
URI: | http://wscg.zcu.cz/WSCG2014/!!_2014-Posters-Proceedings.pdf http://hdl.handle.net/11025/11935 |
ISBN: | 978-80-86943-72-5 |
Klíčová slova: | polynomiografie;iterační proces;Newtonova metoda;počítačové umění |
Klíčová slova v dalším jazyce: | polynomiography;iteration process;Newton method;computer art |
Abstrakt: | In the paper the visualizations of some modifications applied to the Newton’s root finding of complex polynomials are presented. Namely, instead of the standard Picard iteration, several different iterative processes described in the literature, which we call as non-standard ones, were used. Following Kalantari, such visualizations are called polynomiographs. Polynomiographs are interesting from scientific, educational and artistic points of view. By the use of different iterations kinds we obtain quite new polynomiographs, in comparison to the standard Picard iteration, which look aesthetically pleasing. We present some polynomiographs for complex polynomial equation z3 -1 = 0 as examples. Polynomiographs were defined to graphically present dynamical behaviour of different iterative processes. But we are not interested in that. We are focused on polynomiographs from the artistic point of view. We believe that the new polynomiographs can be interesting as a source of aesthetic patterns created automatically. They can also be used to increase functionality of the existing polynomiography software. |
Práva: | © Václav Skala - Union Agency |
Vyskytuje se v kolekcích: | WSCG 2014: Poster Papers Proceedings |
Soubory připojené k záznamu:
Soubor | Popis | Velikost | Formát | |
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Gdawiec.pdf | Plný text | 879,55 kB | Adobe PDF | Zobrazit/otevřít |
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http://hdl.handle.net/11025/11935
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