Geometrical Wavelets and their Generalization in digital image coding and processing

Dissertation, Poland, 2005.
In this dissertation it has tried to answer two questions:
How images can be approximated better, which will lead to improving its coding and processing properties.
How the most important information may by extracted from an image in an automatic way.Contents:
Introduction (motivation; problem…).
Classical Theory of Wavelets (… Haar wavelet; Mallat algorithm; Family of Wavelets…).
Geometrical Wavelets.
Generalization of Adaptive Geometrical Wavelets.
New application of geometrical wavelets in intrinsic dimensionality.
Conclusions.