Fractal analysis


Fractal analysis

Fractal analysis is the modelling of data by fractals.It consists of methods to assign a fractal dimension and other fractal characteristics to a signal, dataset or object which may be sound, images, molecules, networks or other data.Fractal analysis is now widely used in all areas of science.

Applications

Applications of fractal analysis include: [cite web|url=http://library.thinkquest.org/26242/full/ap/ap.html|title=Applications|accessdate=2007-10-21]
* Classification of histopathology slides in medicine
* Fractal landscape or Coastline complexity
* Enzyme/enzymology (Michaelis-Menten kinetics)
* Generation of new music
* Generation of various art forms
* Signal and image compression
* Seismology
* Fractal in soil mechanics
* Computer and video game design, especially computer graphics for organic environments and as part of procedural generation
* Fractography and fracture mechanics
* Fractal antennas — Small size antennas using fractal shapes
* Small angle scattering theory of fractally rough systems
* Neo-hippies' t-shirts and other fashion
* Generation of patterns for camouflage, such as MARPAT
* Digital sundial
* Technical analysis of price series (see Elliott wave principle)

ee also

*Multifractal

Further reading

* [http://rsb.info.nih.gov/ij/plugins/fraclac/FLHelp/Fractals.htm Fractals and Fractal Analysis]
* [http://www.fch.vutbr.cz/lectures/imagesci/download_ejournal/01_O.Zmeskal.pdf Fractal analysis]
* [http://www.trusoft.netmegs.com/ Benoit - Fractal Analysis Software]
* [http://www.swin.edu.au/chem/bio/s+code/wpafrac1.htm Wavelet Packet Fractal Analysis]
* [http://www.physionet.org/tutorials/fmnc/index.shtml Fractal Analysis Methods for Human Heartbeat and Gait Dynamics]


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Analysis on fractals — or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals.The theory describes dynamical phenomena which occur on objects modelled by fractals.It studies questions such as how does heat diffuse in a… …   Wikipedia

  • Fractal dimension — In fractal geometry, the fractal dimension, D , is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales. There are many specific definitions of fractal… …   Wikipedia

  • Fractal — 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, [cite book last = Mandelbrot first = B.B. title = The Fractal Geometry of… …   Wikipedia

  • Fractal antenna — A fractal antenna is an antenna that uses a fractal, self similar design to maximize the length, or increase the perimeter (on inside sections or the outer structure), of material that can receive or transmit electromagnetic signals within a… …   Wikipedia

  • Fractal cosmology — In physical cosmology, fractal cosmology relates to the usage or appearance of fractals in the study of the universe or cosmos. When cosmologists study the universe, they employ both observational and theoretical tools, and examine (or consider)… …   Wikipedia

  • Fractal dimension on networks — Self similarity of complex networks= Many real networks have two fundamental properties, scale free property and small world property. If the degree distribution of the network follows a power law, the network is scale free; if any two arbitrary… …   Wikipedia

  • Fractal Analytics — Infobox Company company name = Fractal Analytics company type = Incorporated company foundation = 2000 location = India, Singapore United States num employees = about 150 revenue = Confidential industry = Analytics, Knowledge Process Outsourcing… …   Wikipedia

  • Fractal — A type of pattern used in technical analysis to predict a reversal in the current trend. A fractal pattern consists of five bars and is identified when the price meets the following characteristics: 1. A shift from a downtrend to an uptrend… …   Investment dictionary

  • FRACTAL — Frequency Response Analysis and Comparison Tool Assuming Linearity Contributor: MSFC …   NASA Acronyms

  • Newton fractal — Julia set for the rational function associated to Newton s method for ƒ:z→z3−1. The Newton fractal is a boundary set in the complex plane which is characterized by Newton s method applied to a fixed polynomial . It is the …   Wikipedia