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Having a substructure analogous or identical to an overall structure. In mathematics, certain geometrical objects such as line segments and fractals are self-similar to an arbitrary level of magnification; many natural phenomena, such as clouds and plants, are self-similar to some degree.

self′-sim′i·lar′i·ty n.
References in periodicals archive ?
In contrast, the Non Local filter uses the self-similarity of natural images in a non-local manner (Xuande Zhang, 2013).
This framework is explored and crystallized by a challenging,detailed spectral-theoretical study of an enormous class of NSA operators directly arising from the key phenomenon of self-similarity and in duality from branching.
Higuchi fractal dimension (HFD) measures the complexity and self-similarity of a signal [1, 12] in the time domain.
Washington, March 20 ( ANI ): Physicists have revealed that the real-time dynamics in a football game are subject to self-similarity characteristics in keeping with the laws of physics.
The results showed that maize roots indeed have fractal properties, such as self-similarity across various scales.
Covering in turn real dynamics and complex dynamics, they consider such topics as directional entropies of cellular automaton-maps, a monotonicity conjecture for real cubic maps, self-similarity and hairiness in the Mandelbrot set, the Fibonacci unimodal map, and the mathematical work of Curt McMullen.
Many images exhibit approximate self-similarity and this structure has proven very useful in applications in image compression, representation and analysis (Hutchinson, 1981; Barnsley and Demko, 1985; Barnsley et al.
When self-similarity tables are used, partial similarity equals the similarity between the classes as set in self-similarity tables.
Thus even the classical non-equilibrium flows can show self-similarity if properly scaled.
Fractals have two basic characteristics suitable for modeling the topography and other spatial surfaces in the Earth's surface: self-similarity and randomness.
m]) can be used as a scaling function to study the self-similarity of the phase morphology at different solidification temperatures.
Zooming in to the intricate boundary reveals more and more detail and self-similarity with subtle variations.