Name
Abstract | ||
|---|---|---|
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 coherences 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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M107102X | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
ultrafast ultrasound imaging,singular value decomposition,Casorati matrix,blood flow imaging | Singular value decomposition,Plane wave,Wave propagation,Blood flow,Medical imaging,Mathematical analysis,Clutter,Frame rate,Point spread function,Mathematics | Journal |
Volume | Issue | ISSN |
77 | 1 | 0036-1399 |
Citations | PageRank | References |
4 | 0.79 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giovanni Alberti | 1 | 60 | 56.13 |
| Habib Ammari | 2 | 821 | 104.69 |
| Francisco Romero | 3 | 5 | 1.86 |
| Timothée Wintz | 4 | 4 | 1.13 |