J. M. Halley*, S. Hartley, A. S. Kallimanis, W. E. Kunin, J. J. Lennon and S. P. Sgardelis Department of Ecology, Aristotle University of Thessaloniki, U.P.B. 119, 54124, Greece School of Biological Sciences, Victoria University of Wellington, P.O.B. 600, Wellington, New Zealand School of Biology, University of Leeds, LS2 9JT, Leeds, UK The Macaulay Institute, Craigiebuckler, Aberdeen AB15 8QH,...

Texture is the important spatial structure information and primary feature of remote sensing imagery. It contains the surface information of imagery and the relationship with around environment. Firstly focusing on the basic principle of fractal, this paper adopts five different kinds of fractal algorithms to calculate the fractal dimensions of image texture towards the researching image, and g...

A low bit rate video coding technique that uses spatio-temporal geometric transforms is presented. Motion compensation based on the bilinear transform is employed to reduce the temporal redundancy of the video. The spatial redundancy of the motion compensated error images is reduced by a combination of Fractal and DCT. It is shown that in the objects boundaries of the motion compensated error i...

Two groups of aggregates with fractal dimensions of 1.81 ( 0.09 and 2.33 ( 0.07 were generated by coagulation of latex microspheres (2.84 μm) in a Jar-test (paddle-mixing) device. The collision rates between these fractal aggregates (200-1000 μm) and small (1.48 μm) particles were measured for individual aggregates that had settled through a suspension of the small particles. Aggregate permeabi...

This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...

Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter q. We obtain the topological properties of the network including the degree distribution, average path length, diameter, fractal dimensions, and betweenness centrality distribution, which ar...

We introduce fractal liquids by generalizing classical liquids of integer dimensions d=1,2,3 to a noninteger dimension dl. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same dimension. Realizations of our generic model system include microphase separated binary liquids in porous media, and highly branched liquid droplets confined ...

A long standing approximation in EM logging for fractures has been to assume that a fracture is an extended thin sheet, perhaps a half-plane. This approximation can be useful and is theoretically and numerically convenient. However, examination of core, FMS logs, and outcrop reveals that fracture zones can be geometrically self-similar over dimensional scales of less than millimeters to kilomet...