“Fractal Anatomy: Imaging Internal and Ambient Structures” by McGraw

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Entry Number: 09

Title:

    Fractal Anatomy: Imaging Internal and Ambient Structures

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Abstract:


    Fractal shapes reflect the behavior of complex natural systems, but can be generated by simple mathematical equations. Images of 3D fractals almost exclusively depict opaque surfaces, and use reflected light and shadows to simulate a physical realization of these virtual objects. But rich inner detail can be revealed by reinterpreting the fractal as a volume and considering material transparency, light absorption and refraction. This work explores the range of images made possible by employing volume rendering techniques inspired by medical image visualization.

     

References:


    • Paul W Carlson. 1999. Two artistic orbit trap rendering methods for Newton M-set fractals. Computers & Graphics 23, 6 (1999), 925–931. 
    • Susan Condé. 2001. The fractal artist. Leonardo 34, 1 (2001), 3–10.
    • Carlos Ginzburg. 2001. The Neuronal Network of Social Culture, Homo Fractalus. Leonardo 34, 1 (2001), 7–7. 
    • John C Hart, Daniel J Sandin, and Louis H Kauffman. 1989. Ray tracing deterministic 3-D fractals. In ACM SIGGRAPH Computer Graphics, Vol. 23. ACM, 289–296. 
    • Tom Lowe. 2010. What Is a Mandelbox? https://sites.google.com/site/mandelbox/ what-is-a-mandelbox. 
    • Benoit B Mandelbrot. 1983. The fractal geometry of nature. Vol. 173. WH Freeman New York.
    • Benoit B Mandelbrot. 1989. Fractals and art for the sake of science. Leonardo 22, 5 (1989), 21–24. 
    • Vincent Scheib, Theo Engell-Nielsen, Saku Lehtinen, Eric Haines, and Phil Taylor. 2002. The demo scene. In ACM SIGGRAPH 2002 conference abstracts and applications. ACM, 96–97. 
    • Daniel White. 2012. The unraveling of the real 3D Mandelbulb. http://www.skytopia. com/project/fractal/mandelbulb.html.

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