Image compression is a method through which we can reduce the storage space of images, videos which will helpful to increase storage and transmission process’s performance, Images are compressed using lossy and Lossless compression schemes. In this paper Fractal image compression is discussed .Fractal image compression is a lossy compression method for digital images, based on fractals. The met...

Much researchs are currently carried out in the eld of fractal coding of images. Fractal models try to identify and represent self-similarity relationships within images through the use of spatial transformations of the signal associating shrinking, translation, isometries and scaling. These transformations can be interpreted frequentialy and are particularly suited to an interpretation in the ...

Snapshot attractors, i.e., attractors formed by a cloud of trajectories at the same instants of time, are usually employed to reveal the fractal structure of randomly or chaotically driven dynamical systems. A necessary condition for the underlying fractal structure to be observed is that the ensemble of particles utilized in the construction of the snapshot attractors are subject to identical ...

We show that renormalization group (RG) theory applied to complex networks are useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world/fractal transition by finding a trivial stable fixed point of a complete graph, and two unstable fixed points consisting of (i) a pure fractal topology and (ii) a fractal with s...

We study phases and fractal structures of three-dimensional simplicial quantum gravity by the Monte-Carlo method. After measuring the surface area distribution (SAD) which is the three-dimensional analog of the loop length distribution (LLD) in two-dimensional quantum gravity, we classify the fractal structures into three types: (i) in the hot (strong coupling) phase, strong gravity makes the s...

We construct matter field theories in “theory space” that are fractal, and invariant under geometrical renormalization group (RG) transformations. We treat in detail complex scalars, and discuss issues related to fermions, chirality, and Yang-Mills gauge fields. In the continuum limit these models describe physics in a noninteger spatial dimension which appears above a RG invariant “compactific...

In recent years, the picture of discrete space time has been studied in the context of stochastic theory. There are a number of ramifications, which are briefly examined. We argue that the causality of physiics has its roots in the analyticity within the two dimensons of a fractal quantum path and further show how this picture has convergence wth quantum superstrings.

The impact of an inhomogeneous arrangement of nodes in space on a network organization cannot be neglected in most real-world scale-free networks. Here we propose a model for a geographical network with nodes embedded in a fractal space in which we can tune the network heterogeneity by varying the strength of the spatial embedding. When the nodes in such networks have power-law distributed intr...

2014 It is shown that the kinetics of collapse of a polymer coil consisting of N segments after an abrupt decrease of temperature is a two-stage process if N ~ Ne. The first stage takes a time ~ N2 and leads to the peculiar state 2014 crumpled, or fractal, globule. Any part of a chain of any scale is itself a globule in this state ; these parts are segregated from each other in space due to the...

Since Kronecker Product Graph Model (KPGM) was introduced, it has been widely used to model real networks. The characteristics of the model specially its single fractal structure have made KPGM one of the most important algorithm of the last years. However, the utilization of a single fractal structure decreases the potential of KPGM by limiting the graph space covered by the model. In this pap...