Add to ORKGIn this paper we investigate the characteristics of the images relevant to fractal profiles: in particular, we show that the signal backscattered from a fractal profile modeled as a fractional Brownian motion (fBm) stochastic process is strictly related to the associated fractional Gaussian noise (fGn) process. Moreover, we compute in closed form the structure function and the spectrum of the image, highlighting their key properties and asymptotic behavior. An experimental validation of the above mentioned results is also provided
Summarization: The fractional Gaussian noise (fGn) and fractional Brownian motion (fBm) random field...
AbstractIn this paper, a class of Gaussian processes, having locally the same fractal properties as ...
Abstract—In this paper use is made of fractal models for the development of a processing chain devot...
In this paper a first step toward a complete model of the fractal imaging process is taken: for the ...
Abstract—In this paper, a model for radar images of fractal (topologically 1-D) profiles is introduc...
Fractals have been shown to be useful in characterizing texture in a variety of contexts. Use of thi...
A successful mathematical description of natural landscapes relies upon a class of random processes ...
<p>Representation of the continuum of fractal processes, with: the two families of fractional Gaussi...
This review first gives an overview on the concept of fractal geometry with definitions and explanat...
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves...
In previous work, the concept of estimation theory has been applied to provide a basis for determini...
AbstractFractal Gaussian models have been widely used to represent the singular behavior of phenomen...
Fractals have been shown to be useful in characterizing texture in a variety of contexts via a metho...
Growth and form in biology are often associated with some level of fractality. Fractal characteristi...
Fractal behavior and long-range dependence have been observed in an astonishing number of physical, ...
Summarization: The fractional Gaussian noise (fGn) and fractional Brownian motion (fBm) random field...
AbstractIn this paper, a class of Gaussian processes, having locally the same fractal properties as ...
Abstract—In this paper use is made of fractal models for the development of a processing chain devot...
In this paper a first step toward a complete model of the fractal imaging process is taken: for the ...
Abstract—In this paper, a model for radar images of fractal (topologically 1-D) profiles is introduc...
Fractals have been shown to be useful in characterizing texture in a variety of contexts. Use of thi...
A successful mathematical description of natural landscapes relies upon a class of random processes ...
<p>Representation of the continuum of fractal processes, with: the two families of fractional Gaussi...
This review first gives an overview on the concept of fractal geometry with definitions and explanat...
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves...
In previous work, the concept of estimation theory has been applied to provide a basis for determini...
AbstractFractal Gaussian models have been widely used to represent the singular behavior of phenomen...
Fractals have been shown to be useful in characterizing texture in a variety of contexts via a metho...
Growth and form in biology are often associated with some level of fractality. Fractal characteristi...
Fractal behavior and long-range dependence have been observed in an astonishing number of physical, ...
Summarization: The fractional Gaussian noise (fGn) and fractional Brownian motion (fBm) random field...
AbstractIn this paper, a class of Gaussian processes, having locally the same fractal properties as ...
Abstract—In this paper use is made of fractal models for the development of a processing chain devot...