Section 3 gives a brief introduction to self-similarity
and the relationship between the wavelet coefficients and the Hurst parameter.
Kenneth Hsu has even discovered fractal qualities of self-similarity
across scales in the music of Bach and Mozart (1993).
To solve this combined spherical and conical plastic indentation problem, the self-similarity
method was used here for the Rockwell indenter geometry.
and fractional dimension.
The other elements defining the grammar and completing self-similarity
are the type of the fragments -theory or practice- and the subtype of the theoretic fragments - presentation, model, and examples.
Examples of self-similarity
can be seen when a coastline or a snowflake
is a state in which parts resemble (but are not identical to) other parts and sometimes to the whole.
The concept of Self-Similarity
was originally developed by Efros and Leung (Efros and Leung, 1999).
Iterated Function Systems allow to formalize the notion of self-similarity
or scale invariance of some mathematical object.
Among the topics are modeling and simulating deep brain stimulation in Parkinson's Disease, the role of self-similarity
for computer aided detection based on mammogram analysis, and image registration for biomedical information integration.
The topics include fractional Brownian motion and related processes, parametric estimation for fractional Ornstein-Uhlenbeck type processes, sequential inference and non-parametric inference for processes driven by fractional Brownian motion, parametric estimation for processes driven by a fractional Browning sheet, and self-similarity
When fractals are demonstrated in nature, they have what is called statistical self-similarity