Mathematical Analysis of Ultrafast Ultrasound Imaging

This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates. We derive the point spread function of the system in the Born approximation for wave p...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Alberti, Giovanni S, Ammari, Habib, Romero, Francisco, Wintz, Timothée
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.10.2016
Subjects
Blood cells
Blood flow
Blood vessels
Born approximation
Clutter
Computer simulation
Image resolution
Mathematical analysis
Mathematical models
Mathematics - Numerical Analysis
Mathematics - Probability
Medical imaging
Plane waves
Point spread functions
Singular value decomposition
Ultrasonic imaging
Wave propagation
Online AccessGet full text

Cover

More Information
Summary:This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates. We derive the point spread function of the system in the Born approximation for wave propagation and study its properties. We consider dynamic data for blood flow imaging, and introduce a suitable random model for blood cells. We show that a singular value decomposition method can successfully remove the clutter signal by using the different spatial coherence of tissue and blood signals, thereby providing high-resolution images of blood vessels, even in cases when the clutter and blood speeds are comparable in magnitude. Several numerical simulations are presented to illustrate and validate the approach.
Bibliography:SAM Report 2016-24
ISSN:2331-8422
DOI:10.48550/arxiv.1604.04604