Fractal flames are a member of the iterated function system class[1] of fractals created by Scott Draves in 1992. In Mathematics, iterated function systems or IFS s are a method of constructing Fractals the resulting constructions are always Self-similar. A fractal is generally "a rough or fragmented geometric shape that can be split into parts each of which is (at least approximately a reduced-size copy of the whole" Scott Draves is the inventor of Fractal Flames and the leader of the Distributed computing project Electric Sheep. [2] Draves' seminal open-source code was later ported into Adobe After Effects graphics software[3] and translated into the Apophysis fractal flame editor. Adobe After Effects is a digital motion graphics and Compositing software published by Adobe Systems. [4]
Fractal flames differ from ordinary iterated function systems in three ways:
- Nonlinear functions are iterated instead of affine transforms. This article describes the use of the term nonlinearity in mathematics Iteration means the act of repeating Mathematics Iteration in mathematics may refer to the process of iterating a function, or to the techniques used In Geometry, an affine transformation or affine map or an affinity (from the Latin affinis, "connected with" between two Vector
- Log-density display instead of linear or binary (a form of tone mapping)
- Colour by structure (i. Tone mapping is a technique used in Image processing and Computer graphics to map a set of colours to another often to approximate the appearance of High dynamic e. by the recursive path taken) instead of monochrome or by density.
The tone mapping and colouring are designed to display as much of the detail of the fractal as possible, which generally results in a more aesthetically pleasing image.
References
- ^ Mitchell Whitelaw (2004). Metacreation: Art and Artificial Life. MIT Press. pp 155.
- ^ Information about Apophysis software. Retrieved on 2008-03-11. 2008 ( MMVIII) is the current year in accordance with the Gregorian calendar, a Leap year that started on Tuesday of the Common Events 1425 BC - Thutmose III, Pharaoh of Egypt, dies (according to the Low Chronology of the 18th Dynasty
- ^ Chris Gehman and Steve Reinke (2005). The Sharpest Point: Animation at the End of Cinema. YYZ Books. pp 269.
- ^ Information about Apophysis software. Retrieved on 2008-03-11. 2008 ( MMVIII) is the current year in accordance with the Gregorian calendar, a Leap year that started on Tuesday of the Common Events 1425 BC - Thutmose III, Pharaoh of Egypt, dies (according to the Low Chronology of the 18th Dynasty
See also
- Apophysis, an open source fractal flame editor for Microsoft Windows
- Electric Sheep, a screen saver which displays fractal flames created with Distributed computing
- GIMP, a free software, multi OS image manipulation program that can generate fractal flames. Electric Sheep is a Distributed computing project for animating and evolving Fractal flames which are in turn distributed to the networked computers which display Distributed computing deals with Hardware and Software Systems containing more than one processing element or Storage element concurrent The GNU Image Manipulation Program, or GIMP, is a free Raster graphics editor used to process digital graphics and photographs Free software or software libre is Software that can be used studied and modified without restriction and which can be copied and redistributed in modified or unmodified Photo manipulation is the application of Image editing techniques to Photographs in order to create an Illusion or Deception (in contrast to mere Filters >> Render >> Fractral Explorer
External links
- The Fractal Flame AlgorithmPDF (22. 5 MB), a paper with a detailed explanation of how and why the fractal flames work
- Oxidizer an open source editor for Mac OS X
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