A minor-closed class of matroids is (strongly) fractal if the number n-element in dominated by excluded minors. We conjecture that when K an infinite field, K-representable strongly fractal. prove sparse paving with at most k circuit-hyperplanes a least three. The minor-closure spikes (with k≥5) satisfies strictly weaker condition: 2t-element However, there are only finitely many minors ground ...

Approximation of natural objects (curves, surfaces, or images) with fractal models is an important center of interest for research. The general inverse problem paradigm concerns many application fields and a large variety of studies have been proposed to address it.The most known of them is the fractal image compression method introduced by Jacquin. Generally speaking, these techniques lack of ...

Fluctuations in light scattering from a finite ensemble of fractal clusters are studied numerically and theoretically. It is shown that, for a wide range of wavelengths and angles, relative fluctuations in the scattered intensity are very close to 1 and do not depend on the number of monomers N in fractal clusters (whereas they are proportional to 1/AN for trivial clusters). The relations descr...

We consider a map called a double rotation, which is composed of two rotations on a circle. Specifically, a double rotation is a map on the interval [0, 1) that maps x ∈ [0, c) to {x + α}, and x ∈ [c, 1) to {x + β}. Although double rotations are discontinuous and non-invertible in general, we show that almost every double rotation can be reduced to a simple rotation, and the set of parameters s...

Planners and designers are interested in replicating biospheric landscape patterns to reclaim surface mines to match existing natural landscape patterns. One approach that shows promise is the use of fractal geometry to generate biospheric landscape patterns. While the measurement of the actual fractal dimension of a landscape can be difficult, a box-counting method was developed at AgroCampus ...

In previous work 24], Fractal Point Processes (FPPs) have been proposed as novel tools for understanding, modeling and analyzing diverse types of self-similar traac behavior. We apply the FPP models in the context of network traac modeling and performance analysis. Two qualitatively diierent fractal data sets (Bellcore Ethernet traces) are characterized by FPP models. Comparison of model-driven...

a r t i c l e i n f o a b s t r a c t This paper describes a digital watermarking scheme based on fractal codification for 8-bit gray scale images; it replaces range blocks by modified blocks according to the watermark bit being embedded. The main contribution of this work is a decrease in the distortion generated by the watermark embedding in the carrier image compared to the reference scheme ...

Digital surface representation from a set of three-dimensional samples is an important issue of computer graphics that has applications in different areas of study such as engineering, geology, geography, meteorology, medicine, etc. The digital model allows important information to be stored and analyzed without the necessity of working directly with the real surface. In addition, we can integr...