This paper is an attempt to assess more precisely the scope of the multifractal approach for textural characterization. We perform a series of numerical experiments to reconstruct black and white images from the multiscale moments of a measure defined by a reference image. The reconstructed...

We introduce a new method to perform textural segmentation by mean of generalized multifractal analysis. This method can be applied to any signal or measure, self-similar or not. The main idea is to expand the log-generating function Φq(x) on a collection of basis functions denoted by Ψq,n(x)....

In a porous medium the local density often exhibits spatial variations. These variations can be characterized by a multifractal spectrum, as long as suitable scaling characteristics are present. We derive some of the properties of geometrical multifractals, and show with examples how such...

We show how the real space renormalization group method can be used to calculate analytically the scaling exponents of the effective absolute permeability in multifractal porous media. The permeability fields considered are deterministic and random multifractals constructed with multiplicative...

In turbulence, the simplest phenomenological models of the energy cascade are multiplicative processes constructed on a regular grid (in short, M.P.G.). They have been used mostly for their simplicity, allowing many of their properties to be derived analytically, and their capacity to reproduce...

The real space renormalization group method is used to calculate analytically the scaling exponents of the effective absolute permeability in multifractal porous media.