In this paper a simple algorithm based on harmonic wavelets is given for the generation of self similar functions. Due to their self similarity property and scale dependence, harmonic wavelets might offer a good approximation of fractals by a very few instances of the wavelet series and a more direct interpretation of the scale invariance for deterministic localized fractals
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some fractal measure ...
The inverse fractal problem for self-affine functions in R^2 is solved by means of testing the invar...
B. Mandelbrot gave a new birth to the notions of scale invariance, selfsimilarity and non-integer di...
In this paper a simple algorithm based on harmonic wavelets is given for the generation of self sim...
The self-similarity property of some kind of fractals is sudied by using Harmonic Wavelets. The scal...
In this paper localized fractals are studied by using harmonic wavelets. It will be shown that, harm...
Physicists and mathematicians are intensely studying fractal sets of fractal curves. Mandelbrot advo...
The analysis of a periodic signal with localized random (or high frequency) noise is given by using...
Fractals and wavelets are emerging areas of mathematics with many common factors which can be used t...
This thesis consists of an introduction and a summary, followed by two papers, both of them on the t...
We consider a special class of self-similar functions, the fractal interpolation functions, and prov...
AbstractSelf-similar multifractals have a wavelet transform whose maxima define self-similar curves ...
We report on a wavelet-based technique for solving the inverse fractal problem. We show that one can...
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some fractal measure ...
The inverse fractal problem for self-affine functions in R^2 is solved by means of testing the invar...
B. Mandelbrot gave a new birth to the notions of scale invariance, selfsimilarity and non-integer di...
In this paper a simple algorithm based on harmonic wavelets is given for the generation of self sim...
The self-similarity property of some kind of fractals is sudied by using Harmonic Wavelets. The scal...
In this paper localized fractals are studied by using harmonic wavelets. It will be shown that, harm...
Physicists and mathematicians are intensely studying fractal sets of fractal curves. Mandelbrot advo...
The analysis of a periodic signal with localized random (or high frequency) noise is given by using...
Fractals and wavelets are emerging areas of mathematics with many common factors which can be used t...
This thesis consists of an introduction and a summary, followed by two papers, both of them on the t...
We consider a special class of self-similar functions, the fractal interpolation functions, and prov...
AbstractSelf-similar multifractals have a wavelet transform whose maxima define self-similar curves ...
We report on a wavelet-based technique for solving the inverse fractal problem. We show that one can...
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some fractal measure ...
The inverse fractal problem for self-affine functions in R^2 is solved by means of testing the invar...
B. Mandelbrot gave a new birth to the notions of scale invariance, selfsimilarity and non-integer di...
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