Fractal modelling and analysis of flow-field images

Author

Tafti, Pouya Dehghani ; Delgado-Gonzalo, Ricard ; Stalder, Aurélien F. ; Unser, Michael

Author_Institution

Biomed. Imaging Group, Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland

fYear

2010

fDate

14-17 April 2010

Firstpage

49

Lastpage

52

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.

Keywords

Doppler effect; biomedical MRI; biomedical ultrasonics; flow visualisation; fractals; haemodynamics; medical image processing; stochastic processes; Doppler ultrasound; Hurst exponent; compressive behaviour; flow vector fields; flow-sensitive MRI; fractal modelling; phase-contrast MRI; rotational behaviour; stochastic models; Fluid flow measurement; Fractals; Image analysis; Image coding; Magnetic resonance imaging; Phase estimation; Phase measurement; Stochastic processes; Ultrasonic imaging; Ultrasonic variables measurement; Hurst exponent; curl; divergence; flow-sensitive MRI; vector fields; vector fractional Brownian motion; wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Imaging: From Nano to Macro, 2010 IEEE International Symposium on

Conference_Location

Rotterdam

ISSN

1945-7928

Print_ISBN

978-1-4244-4125-9

Electronic_ISBN

1945-7928

Type

conf

DOI

10.1109/ISBI.2010.5490416

Filename

5490416