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-scale) and multiparent block fractal image coding (cross-scale).In order to accomodate the latter, a new method of fractal …, fuelled in part by the exceptional success of the nonlocal means image denoising method. Fractal image coding is another …
Persistent link: https://www.econbiz.de/10005007446
Persistent link: https://www.econbiz.de/10011700768
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Starting from the original definitions of Iterated Function Systems (IFS) and Iterated Function Systems with Probabilities (IFSP) we introduce the notions of Iterated Multifunction Systems (IMS) and Iterated Multifunction Systems with Probabilities (IMSP). We consider the IMS and IMSP as...
Persistent link: https://www.econbiz.de/10005007196
fractal power laws and scaling will be explained. The main part focuses on the estimation of the tail index as a scaling …
Persistent link: https://www.econbiz.de/10009467109
Applying fractal theory, this paper probes and discusses self-similarity and scale invariance of the Chinese stock … price indexes over time scales. The stock price indexes exhibit fractal time series. It indicates that the policy guide …
Persistent link: https://www.econbiz.de/10010591555
The article reviews a history of studying the fractal nature of economic laws, focuses on the fractals’ classification …
Persistent link: https://www.econbiz.de/10010547009
We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].
Persistent link: https://www.econbiz.de/10010397157
In this paper, we first consider the problem of defining IFS operators on the space Kc of non-empty compact and convex subsets of Rd. After defining a complete metric on Kc, we construct an IFS operator and show some properties. A notable feature is the definition of a type of weak inner product...
Persistent link: https://www.econbiz.de/10005007202
We introduce a method of iterated function systems (IFS) over the space of set-valued mappings (multifunctions). This … is done by first considering a couple of useful metrics over the space of multifunctions F(X,Y). Some appropriate IFS …-type fractal transform operators T:F(X,Y)->F(X,Y) are then defined which combine spatially-contracted and range-modified copies of …
Persistent link: https://www.econbiz.de/10009324467