Concepts and tools from fractal geometry for analysis and synthesis in color imaging

Natural images are complex structures. Their modeling is essential for many tasks in image processing, and progress remains to be done in this direction. Properties of self-similarity in scale were observed in the spatial organization of natural images. Beyond their spatial organization, we address here their colorimetric organization. Several tools for fractal characterization are identified and implemented. Application of these tools on the three-dimensional histograms from color images allow us to reveal and characterize fractal properties in their colorimetric organization. Furthermore, we also consider, in image synthesis, new applications of fractal concepts for color images, the control of their properties and the automatic generation of decorative patterns. Applicative collaborations have been developed during the doctoral thesis in order to valorize this work, especially in the context of the "doctorant-conseil" program, and towards the industry of textile and clothing.

Data and Resources

Additional Info

Field Value
Source https://theses.hal.science/tel-00797902
Author Chauveau, Julien
Maintainer CCSD
Last Updated May 12, 2026, 17:21 (UTC)
Created May 12, 2026, 17:21 (UTC)
Identifier tel-00797902
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire d'Ingéniérie des Systèmes Automatisés (LISA) ; Université d'Angers (UA)
creator Chauveau, Julien
date 2011-02-11T00:00:00
harvest_object_id d3ec9e67-39c9-4096-91e0-ba6f97968e42
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2023-09-02T00:00:00
set_spec type:THESE