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The second main feature of Genuine Fractals is a scaling algorithm based on the use of PIFS (partitioned iterated function systems). When scaling up, Genuine Fractals exploits the self-similarity of an image to increase its size while preserving detail. In 1997, Genuine Fractals won a MacWorld Eddy. [5]
Genuine Fractals was a plug-in for Photoshop and, for the first time, allowed images to go completely resolution independent—meaning a single image could be scaled from postage stamp to IMAX without loss of quality. Genuine Fractals won Best Product of the Year (EDDY) from Macworld Magazine in 1997 & 1998 [1], and is an industry standard now ...
Sierpiński Carpet - Infinite perimeter and zero area Mandelbrot set at islands The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)
Fractal image compression has been used in a number of commercial applications: onOne Software, developed under license from Iterated Systems Inc., Genuine Fractals 5 [23] which is a Photoshop plugin capable of saving files in compressed FIF (Fractal Image Format).
Michael Fielding Barnsley (born 1946) [1] is a British mathematician, researcher and an entrepreneur who has worked on fractal compression; he holds several patents on the technology. He received his Ph.D. in theoretical chemistry from University of Wisconsin–Madison in 1972 [2] and BA in mathematics from Oxford in 1968. [3]
Fractal generating software creates mathematical beauty through visualization. Modern computers may take seconds or minutes to complete a single high resolution fractal image. Images are generated for both simulation (modeling) and random fractals for art. Fractal generation used for modeling is part of realism in computer graphics. [2]
A 4K UHD 3D Mandelbulb video A ray-marched image of the 3D Mandelbulb for the iteration v ↦ v 8 + c. The Mandelbulb is a three-dimensional fractal, constructed for the first time in 1997 by Jules Ruis and further developed in 2009 by Daniel White and Paul Nylander using spherical coordinates.
The Beauty of Fractals is a 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success. The book includes a total of 184 illustrations, including 88 full-colour pictures of Julia sets.
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