Graph-Theoretical Approach to Texture Analysis Based on Confinement Trees
Volkmar Wieser
In his PhD project, Volkmar Wieser deals with a Graph-Theoretical Approach to Texture Analysis Based on Confinement Trees. This work concerns SCCH’s KBT Area and is supervised by Prof. Dr. Erich Peter Klement (Johannes Kepler University Linz). Confinement trees are generated by examining the binarized level sets of the grey-valued image by constructing a structure of nested, connected components. This construction has very interesting properties that make it adequate for texture analysis. From a graph-theoretical point of view, the structure of the tree remains invariant under topological transformations, in particular for general projective mappings. Therefore, especially regarding investigations of taxonomies and for classification purposes, such representations seem to be superior to pure statistical or pure signal-processing approaches. The long-term vision pursued in this PhD work is to characterize textures on a more abstract level (invariant with respect to general topological transformations) by means of confinement trees and their graph-theoretical exploitation. This work aims at studying the relationship between image-related phenomena and graph-theoretical properties of the corresponding confinement tree.
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