[1] Topographically convex regions within a catchment basin represent varied degrees of hill-slopes. The nonnetwork space (M), the characterization of which we address in this letter, is akin to the space that is achieved by subtracting channelized portions contributed due to concave regions from the watershed space (X). This nonnetwork space is similar to non-channelized convex region within a...

The present work proposes the development of a novel method to provide descriptors for colored texture images. The method consists of two steps. First, we apply a linear transform in the color space of the image aiming at highlighting spatial structuring relations among the color of pixels. Second, we apply a multiscale approach to the calculus of fractal dimension based on Fourier transform. F...

In this review paper, we recall the successive steps that we have followed in the construction of the theory of scale relativity. The aim of this theory is to derive the physical behavior of a nondifferentiable and fractal space-time and of its geodesics (to which waveparticles are identified), under the constraint of the principle of relativity of all scales in nature. The first step of this c...

We consider the concept of fractons, i.e. particles or quasiparticles which obey specific fractal statistics and for each universal class h of particles we obtain a fractal-deformed Heisenberg algebra. This one takes into account the braid group structure of these objects which live in two-dimensional multiply connected space. PACS numbers: 05.30.-d; 02.20.-a; 11.25.Hf

High-Quality factor miniaturized inductors are prerequisites of RFIC Applications. This paper presents a novel fractal stacked inductors using modified Hilbert space filling curve. The parallel stacked inductor with differential excitation improves the Q factor values. The results show more than 50% improvement in Q over conventional fractal inductors maintaining same inductance value with the ...

We consider the concept of fractons, i.e. particles or quasiparticles which obey specific fractal distribution function and for each universal class h of particles we obtain a fractal-deformed Heisenberg algebra. This one takes into account the braid group structure of these objects which live in twodimensional multiply connected space. PACS numbers: 05.30.-d; 02.20.-a; 11.25.Hf

We consider the logistic map over quaternions H ∼ R 4 and different 2D projections of Mandelbrot set in 4D quaternionic space. The approximations (for finite number of iterations) of these 2D projections are fractal circles. We show that a point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.

Characterization of the stability boundary of differential-algebraic (DAE) systems is more complicated than for systems described by ordinary differential equations (ODEs). In addition to unstable equilibria and periodic orbits, algebraic singularity plays an important role in defining the stability boundary. This paper presents a Lyapunov-based method for direct assessment of transient singula...

We consider the logistic map over quaternions H ∼ R 4 and different 2D projections of Mandelbrot set in 4D quaternionic space. The approximations (for finite number of iterations) of these 2D projections are fractal circles. We show that a point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.

This paper presents a fusion scheme for Wavelets and Fractal image compression based on the self-similarity of the space-frequency plane of sub-band encoded images. Various kinds of Wavelet transform are examined for the characteristics of their self–similarity and evaluated for the adoption of Fractal modeling. The aim of this paper is to reduce the information of the two sets of blocks involv...