Fractal modelling and analysis of flow-field images

Authors:
Pouya Dehghani Tafti;Ricard Delgado-Gonzalo;Aurélien F. Stalder;Michael Unser
Affiliations:
Ecole Polytechnique Fédérale de Lausanne, Switzerland;Ecole Polytechnique Fédérale de Lausanne, Switzerland;Dept of Diagnostic Radiology, Medical Physics, University Hospital Freiburg, Germany and Dept of Radiology, Xuanwu Hospital, Capital Medical University, Beijing, China;Ecole Polytechnique Fédérale de Lausanne, Switzerland
Venue:
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Year:
2010

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Abstract

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.