On some structure-morphology problems by the extended partitioned iteratedfunction system (PIFS-SF)

Using a newly developed technique of coding 2D sets (PIFS-SF) we have shown how to analyse the family of sets (images) given with different resolution s. Based on the number of codes (PIFS-SF) we have been able to describe qua ntitatively the high-resolution structure (HRS) and low-resolution structur e (LRS), as well as supramolecular structure (SMS). Following the essence o f aggregation processes (crystallization, gelation, clustering) we showed h ow different SMS, LRS and morphologies are generated. In a sense "by occasi on" we also approached the problems of uniqueness of coding and data compre ssion. To produce required images with different resolution we have employe d a process of deterministic aggregation of cells (first generation aggrega tes - FGA) made of different generators (molecules) with the Sierpinski gas ket as an attractor. An example of some real sets analysis has also been pr ovided. (C) 2001 Elsevier Science Ltd. All rights reserved.