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The fractal transform is a technique invented by Michael Barnsley et al. to perform lossy image compression.
This first practical fractal compression system for digital images resembles a vector quantization system using the image itself as the codebook.
The fractaltransform is a technique invented by Michael Barnsley et al. to perform lossy image compression. This first practical fractal compression...
Fractal compression is a lossy compression method for digital images, based on fractals. The method is best suited for textures and natural images, relying...
Fractal flames are a member of the iterated function system class of fractals created by Scott Draves in 1992. Draves' open-source code was later ported...
method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. They were...
A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...
The wavelet transform modulus maxima (WTMM) is a method for detecting the fractal dimension of a signal. More than this, the WTMM is capable of partitioning...
time are to be transformed according to (xβ, tα). Elementary physical concepts such as velocity are redefined as follows for fractal spacetime (xβ, tα):...
The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book Fractals Everywhere. He made it...
A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics;...
The Mandelbulb is a three-dimensional fractal, constructed for the first time in 1997 by Jules Ruis and in 2009 further developed by Daniel White and...
In mathematics, an Apollonian gasket or Apollonian net is a fractal generated by starting with a triple of circles, each tangent to the other two, and...
for the Macintosh system by Mark Zimmer and Tom Hedges, founders of the Fractal Design Corporation. Zimmer and Hedges had previously developed ImageStudio...
In mathematics, the blancmange curve is a self-affine fractal curve constructible by midpoint subdivision. It is also known as the Takagi curve, after...
Julia set of f {\displaystyle f} , which forms a fractal pattern, sometimes called a "Collatz fractal". There are many other ways to define a complex interpolating...
Pink noise, 1⁄f noise, fractional noise or fractal noise is a signal or process with a frequency spectrum such that the power spectral density (power...
Operations: Affine Transform, R. Fisher, S. Perkins, A. Walker and E. Wolfart. Weisstein, Eric W. "Affine Transformation". MathWorld. Affine Transform by Bernard...
frequency resolution. These are used in the Gabor transform, a type of short-time Fourier transform. In 1984, Jean Morlet introduced Gabor's work to the...
An ordinary fractal string Ω {\displaystyle \Omega } is a bounded, open subset of the real number line. Such a subset can be written as an at-most-countable...
measurements of the complexity of algorithms and of geometric objects called fractals. They help to describe frequency ratios of musical intervals, appear in...
dimension measured is some version of fractal dimension — which also can be non-integer. However, definitions of fractal dimension yield the manifold dimension...
culture". McKenna formulated a concept about the nature of time based on fractal patterns he claimed to have discovered in the I Ching, which he called...
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