Speaker
Description
Spontaneous formation of patterns by reaction-diffusion systems was discovered by Alan Turing in the 1950s and has been investigated from many different angles since then. We are interested in utilising this phenomenon in the context of texture analysis and synthesis. As a first task, we investigate the estimation of parameters of a pattern-generating reaction-diffusion system of Gray-Scott type from a single pattern representing the steady state distribution of one reactant. Thereby we are able to describe a texture, albeit from a limited class so far, by a set of numerical parameters. Unlike existing quantitative texture descriptors, these parameters allow reconstruction of a visually similar texture. We consider this as a step towards a novel class of generative texture descriptors capable of closing the loop between texture analysis and synthesis, which would constitute a new powerful tool for the processing of textured images. We demonstrate our approach on synthetic and real-world textures. We give an outlook with preliminary results on a generalisation from parameter to model identification as well as decomposition of complex textures into simpler components.
