Fractal Analysis of Three-Dimensional Engineering Surface Irregularities.

Three-dimensional fractal video coding

Fractal image coding has been used successfully to encode digital grey level images. Especially at very low bitrates fractal coding performs better than transform coding. Up to now fractal coding was mainly used for still images. In literature some proposals for fractal video coding schemes can be found, but in all cases two-dimensional contraction operators are used. In this paper we propose a...

An Intrinsically Three-Dimensional Fractal

The quadratic iteration is mapped using a nondistributive real scator algebra in three dimensions. The bound set S has a rich fractal-like boundary. Periodic points on the scalar axis are necessarily surrounded by off axis divergent magnitude points. There is a one-to-one correspondence of this set with the bifurcation diagram of the logistic map. The three-dimensional S set exhibits selfsimila...

Geometric properties of three-dimensional fractal trees

We investigate the interplay between geometry and iterated function systems in families of three-dimensional fractal trees. ! 2008 Elsevier Ltd. All rights reserved.

Transmission properties of one dimensional fractal structures

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures