This paper presents a review of the fractal approach for describing the large scale distribution of galaxies. We start by presenting a brief, but general, introduction to fractals, which emphasizes their empirical side and applications rather than their mathematical side. Then we discuss the standard correlation function analysis of galaxy catalogues and many observational facts that brought in...

Children’s knowledge of nursery rhymes predicts later phonological and reading skills (Maclean et al,1999). This developmental relationship may be mediated by rhythmic and prosodic structure: nursery rhymes have been described as perfect metrical poems. Here we investigate the hypothesis that nursery rhymes are rhythmically fractal. 27 nursery rhymes were spoken in a rhythmic or non-rhythmic (’...

In this paper an innovative, completely fractal-based model describing the SAR imaging process of natural scenes is presented. In the hypothesis that a small slope regime can be assumed for the surface, we evaluate here, in closed form, the Power Spectral Densities of the SAR image. The proposed model effectively accounts for the effect of finite sensor resolutions and for the peculiarity of SA...

A number of recent papers have suggested that the series of time intervals produced in continuation tapping may have fractal properties. This proposition, nevertheless, was only based on the visual appraisal of graphical results, and was not statistically supported. In the present study, we applied the ARMA/ARFIMA modeling procedures proposed by Wagenmakers, Farrell, and Ratcliff (2005) to test...

In this paper an innovative model that describes the SAR imaging process of natural scenes is presented. It is completely fractal-based. In the hypothesis of small slope regime of the surface, we evaluate here, in closed form, the Power Spectrum Density of the SAR image. The proposed model effectively accounts for the effect of finite sensor resolutions and for the peculiarity of SAR acquisitio...

Antenna Miniaturization Using Fractals Richa Garg, AP ECE Deptt., [email protected], J.C.D.C.O.E., Sirsa ABSTRACTThe use of fractal geometry in designing antenna has been a resent topic of interest. Fractal shape has their own unique characteristics that the improved antenna performance can be achieved without degrading the antenna properties. Modern telecommunication system requires antenn...

We examine two paintings by Piet Mondrian, and suggest that his depiction of tree foliages exhibit fractal patterns of a specific dimension. Our analysis implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings. In recent years there has b...

Texture is one of the primary visual attributes used to describe patterns found in nature. Several texture analysis methods have been used as powerful tools for real applications involving computer vision. However, existing methods do not successfully discriminate the complexity of texture patterns. Such methods disregard the possibility of describing image structures by fractal dimension. Frac...

1 1.0 The New Media Environment 2 1.1 A New Media Hypothesis 2 1.2 Network Formation 3 2.0 Fractals And New Media 3 2.1 What’s A Fractal And Why It Matters? 4 2.2 Nonlinearity And Pattern Formation 4 2.3 What Does This Have To Do With Multimedia? 5 2.4 Multimedia – What Is It? 5 2.5 How Do We Define It? 6 2.6 New Media – What Is It? 6 3.0 A Formal System For Complexity In New Media 7 3.1 Defini...

The spatiotemporal patterns of urban expansion have attracted worldwide attention and been generalized into several prevalent hypotheses, such as the diffusion–coalescence hypothesis three-growth-type hypothesis. Although many studies examined applicability these long-term research evidence are still lacking. This study incorporated a compiled dataset multisource remote sensing images historica...