Source traac streams as well as aggre-gated traac ows often exhibit long-range-dependent (LRD) properties. In this paper, we model each traac stream component through the multiplicative multi-fractal counting process traac model. We prove that the superposition of a nite number of multiplicative multifractal traac streams results in another multi-fractal stream. This property makes the multifra...

The objective of this research is to model the mammographic parenchymal, ductal patterns and enhance microcalcifications using a fractal approach. According to the theory of deterministic fractal geometry, images can be modeled by deterministic fractal objects which are attractors of sets of two dimensional afflne transformations. In this paper, a methodology based on fractal image modeling is ...

BACKGROUND Right-sided heart failure has high morbidity and mortality, and may be caused by pulmonary arterial hypertension. Fractal dimension is a differentiated and innovative method used in histological evaluations that allows the characterization of irregular and complex structures and the quantification of structural tissue changes. OBJECTIVE To assess the use of fractal dimension in car...

Fractals can model many classes of time-seri" data. The fractal dimension is an important actertsfic of ftaqo& that coniai, c information . out their geometrical structure at multiple Ntod re a b g ms i l d h ti BC m h d t c s, : s a ass of CJJ4 ent proac ox-coun n ( } et over 1 g c es, e.g., o , o estimate the fractal-dimension. Jr. this paper, the d rential box-counting (DBC) approach, origin...

The paper focuses on the use of the fractal paradigm in enterprise modeling. It investigates whether the properties of fractal organizations can be applied in business analysis and whether this results in useful outcomes and new insights. Based on an adaptation and operationalization of properties of fractal organizations, two real-world cases are analyzed using the adapted properties. The cont...

The problem of fractal modeling is very simple when we know the mathematical description of a fractal. We just apply one of the well-known algorithms. The inverse problem of finding the mathematical description for given fractal is not so trivial and we do not know any general method to solve this problem. So there are several approaches to this problem e.g. via Bézier curves, fractal compressi...

The objective of this research is to model the mammographic parenchymal, ductal patterns and enhance the microcalciications using deterministic fractal approach. According to the theory of deterministic fractal geometry, images can be modeled by deterministic fractal objects which are attractors of sets of two dimensional aane transformations. The Iterated Functions Systems and the Collage Theo...

This paper examines the fractal nature of the Narayana fractal, an object defined by N = {(i, j) ∈ N× N : N(i + j + 1, j + 1) = 1 (mod 2)}. where N(n, k) = 1 n ( n k )( n k − 1 ) are the Narayana numbers. This object closely resembles a fractal derived from Pascal’s triangle. This similarity is used to prove that the Hausdorff dimension of the Narayana fractal is log 3/ log 2, and the limit of ...