BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Fractal Modelling and Analysis of Flow-Field Images

P.D. Tafti, R. Delgado-Gonzalo, A.F. Stalder, M. Unser

Proceedings of the Seventh IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'10), Rotterdam, Kingdom of the Netherlands, April 14-17, 2010, pp. 49–52.

We introduce stochastic models for flow fields with parameters that dictate the scale-dependent (self-similar) character of the field and control the balance between its rotational vs compressive behaviour. The development of our models is motivated by the availability of imaging modalities that measure flow vector fields (flow-sensitive MRI and Doppler ultrasound). To study such data, we formulate estimators of the model parameters, and use them to quantify the Hurst exponent and directional properties of synthetic and real-world flow fields (measured by means of phase-contrast MRI) in 3D. 

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/tafti1001.html,
AUTHOR="Tafti, P.D. and Delgado-Gonzalo, R. and Stalder, A.F. and Unser,
	M.",
TITLE="Fractal Modelling and Analysis of Flow-Field Images",
BOOKTITLE="Proceedings of the Seventh {IEEE} International Symposium on
	Biomedical Imaging: {F}rom Nano to Macro ({ISBI'10})",
YEAR="2010",
editor="",
volume="",
series="",
pages="49--52",
address="Rotterdam, Kingdom of the Netherlands",
month="April 14-17,",
organization="",
publisher="",
note="")

© 2010 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.