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Mandelbrot- and Julia-Like Rendering of Polynomiographs

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Computer Vision and Graphics (ICCVG 2014)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8671))

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Abstract

Polynomiography is a method of visualization of complex polynomial root finding process. One of the applications of polynomiography is generation of aesthetic patterns. In this paper, we present two new algorithms for polynomiograph rendering that allow to obtain new diverse patterns. The algorithms are based on the ideas used to render the well known Mandelbrot and Julia sets. The results obtained with the proposed algorithms can enrich the functionality of the existing polynomiography software.

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Author information

Authors and Affiliations

  1. Institute of Computer Science, University of Silesia, Będzińska 39, 41-200, Sosnowiec, Poland

    Krzysztof Gdawiec

Authors
  1. Krzysztof Gdawiec
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Editor information

Editors and Affiliations

  1. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences (SGGW), Poland

    Leszek J. Chmielewski

  2. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences - SGGW, Nowoursynowska str. 159, 02-776, Warsaw, Poland

    Ryszard Kozera

  3. The .enpeda.. Project, The University of Auckland, New Zealand

    Bok-Suk Shin

  4. Institute of Computer Science, Silesian University of Technology, Akademicka 16, 44-100, Gliwice, Poland

    Konrad Wojciechowski

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© 2014 Springer International Publishing Switzerland

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Gdawiec, K. (2014). Mandelbrot- and Julia-Like Rendering of Polynomiographs. In: Chmielewski, L.J., Kozera, R., Shin, BS., Wojciechowski, K. (eds) Computer Vision and Graphics. ICCVG 2014. Lecture Notes in Computer Science, vol 8671. Springer, Cham. https://doi.org/10.1007/978-3-319-11331-9_4

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  • DOI: https://doi.org/10.1007/978-3-319-11331-9_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11330-2

  • Online ISBN: 978-3-319-11331-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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