Biomedical Imaging GroupSTI
English only   BIG > Publications > Bioimaging Fractals

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Innovation Modelling and Wavelet Analysis of Fractal Processes in Bio-Imaging

P.D. Tafti, D. Van De Ville, M. Unser

Proceedings of the Fifth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'08), Paris, French Republic, May 14-17, 2008, pp. 1501-1504.

Growth and form in biology are often associated with some level of fractality. Fractal characteristics have also been noted in a number of imaging modalities. These observations make fractal modelling relevant in the context of bio-imaging.

In this paper, we introduce a simple and yet rigorous innovation model for multi-dimensional fractional Brownian motion (fBm) and provide the computational tools for the analysis of such processes in a multi-resolution framework. The key point is that these processes can be whitened by application of the appropriate fractional Laplacian operator which has a corresponding polyharmonic wavelet. We examine the case of MRI and mammography images through comparison with theoretical results, which underline the suitability of fractal models in the study of bio-textures.

AUTHOR="Tafti, P.D. and Van De Ville, D. and Unser, M.",
TITLE="Innovation Modelling and Wavelet Analysis of Fractal Processes in
BOOKTITLE="Proceedings of the Fifth {IEEE} International Symposium on
        Biomedical Imaging: {F}rom Nano to Macro ({ISBI'08})",
address="Paris, French Republic",
month="May 14-17,",

© 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.