The author reviews visual perception studies showing that fractal patterns possess an aesthetic quality based on their visual complexity. Specifically, people display an aesthetic preference for patterns with mid-range fractal dimensions, irrespective of the method used to generate them. The author builds upon these studies by presenting preliminary research indicating that mid-range fractals a...

This paper proposes a new algorithm for Mandarin speech Consonant and Vowel (C/V) segmentation based on the fractal theory. The new method focuses on searching the transient region between the Consonant and Vowel parts in a Mandarin syllable that in general is a concatenation of a consonant followed by a vowel. The Multiscale Fractal Dimension Set (MFD) stands for the fractal dimensions at mult...

  Background & Objectives: Cancer is a serious problem for human being and is becoming a serious problem day-by-day .A prerequisite for any therapeutic modality is early diagnosis. Automated cancer diagnosis by automatic image feature extraction procedures can be used as a feature extraction in the field of fractal dimension. The aim of this survey was to introduce a quantitative and objective...

introduction nowadays, many studies were performed about noise source and its type and effects related to duration of sound emission. most of these researches just report sound pressure level in frequency or time domain. these researches should be continued in order to find better absorber material in noise pollution. use of fractal geometry is a new method in this filed. wave fractal dimension...

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...

Fractal measures of images of continuous maps from the set of p-adic numbers Q p into complex plane C are analyzed. Examples of " anomalous " fractals, i.e. the sets where the D-dimensional Hausdorff measures (HM) are trivial, i.e. either zero, or σ-infinite (D is the Hausdorff dimension (HD) of this set) are presented. Using the Caratheodory construction, the generalized scale-covariant HM (GH...

Keywords: Fractal structure Fractal dimension Box-counting dimension Domain of words Language Regular expression Binary-coded decimal Search tree a b s t r a c t A fractal structure is a tool that is used to study the fractal behavior of a space. In this paper, we show how to apply a new concept of fractal dimension for fractal structures, extending the use of the box-counting dimension to new ...