self-similarity


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self-similarity

[¦self ‚sim·ə′lar·əd·ē]
(mathematics)
The property whereby an object or mathematical function preserves its structure when multiplied by a certain scale factor.
References in periodicals archive ?
Moreover, other physical processes can be added to the model such as thermal radiation, heat generation, and/or flow through a porous medium, as long as self-similarity is preserved.
In order to better preserve or enhance image details and layered structures, we propose an efficient collaborative shock-filtering (CSF) algorithm for image denoising and enhancement, which fuses different advantages of previously mentioned classic methods: powerful capabilities of the self-similarity filtering in image edge denoising and the shock filters in edge sharpening.
Estimation of Mapping Function's Derivative Using Local Self-Similarity. Image self-similarity property also reveals that, inside image [I.sub.s], patches with a similar layout to the patch [p.sub.s] can also be explored (see yellow boxes [p.sub.1,s] and [p.sub.2,s] in Figure 1).
The paper is organized as follows: Section 2 presents an introduction to the theory of selfsimilarity and to SFCs theory, also a definition of exact self-similarity of discrete approximations of SFC.
Figures 2 to 5 are listed below and the self-similarity is clear.
That one branch looks like a shrunken version of the whole, showing self-similarity. Of course, as with all objects in nature, as we continue to 'zoom in', eventually this self-similarity feature begins to fail.
Reference [14] is actually exploring the effectiveness of simple pulse detection techniques (filter-and-threshold and TEO/SNEO operator [18]) over different pulse widths and over base signals with different degrees of self-similarity. One result found in [14] was a strong dependence of the detection performance on the relation between the averaging window and the pulse width.
Stem length (i.e., height) is predicted to scale as the 2/3 power of diameter or in proportion to diameter according to the elastic and geometric self-similarity models, respectively (Niklas, 1994, 1995).
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.
In the breaking process of rock body, it produces lots of rock blocks with different size, but these blocks are characterized by self-similarity. Assuming the pore size of a rock is r, the distribution function is F(r,) when the compressed volume of coal wall is [epsilon]; namely, accumulative percentage of pore size of r is