1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm
Rent:
Rent this article for
USD
10.1121/1.3458856
/content/asa/journal/jasa/128/2/10.1121/1.3458856
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/2/10.1121/1.3458856

Figures

Image of FIG. 1.
FIG. 1.

Representative interactions in a grid of scattering elements. There are only four unique types of interactions in this group of unknowns.

Image of FIG. 2.
FIG. 2.

The reference scattering geometry used for inverse scattering experiments. At left, a three-dimensional view of the 12 scattering spheres. At right, a cross section of the geometry in the plane showing the tissue type assignments: “M” for muscle, “F” for fat, and “C” for connective tissue.

Image of FIG. 3.
FIG. 3.

Run times for DBIM inversion with (i) a fixed number of measurements but a variable number of voxels (top) and (ii) a fixed number of voxels but a variable number of transmit angles (bottom).

Image of FIG. 4.
FIG. 4.

Root-mean-squared error, as a function of the number of transmit angles, of the earliest contrast reconstruction corresponding to a relative residual error below 1%.

Image of FIG. 5.
FIG. 5.

Sound-speed (left) and attenuation slope (right) reconstructions, in the plane, of a phantom using the round-robin technique to invert scattering from 300-kHz plane waves incident from 72 directions.

Image of FIG. 6.
FIG. 6.

Sound-speed (left) and attenuation slope (right) reconstructions, along the line, of a phantom using the round-robin technique to invert scattering from 300-kHz plane waves incident from 72 directions.

Image of FIG. 7.
FIG. 7.

The root-mean-square error and corresponding relative residual error for iterative reconstruction of a scattering phantom at 300 kHz (top). The round-robin technique was employed to yield reconstruction results and error measurements at fractional iterations. The relative residual error is also shown on a log scale to provide more detail in the low-error limit (bottom).

Image of FIG. 8.
FIG. 8.

Sound-speed (left) and attenuation slope (right) reconstructions, in the plane, of a phantom using the round-robin technique to invert noisy scattering from 300-kHz plane waves incident from 72 directions.

Image of FIG. 9.
FIG. 9.

Sound-speed (left) and attenuation slope (right) reconstructions, along the line, of a phantom using the round-robin technique to invert noisy scattering from 300-kHz plane waves incident from 72 directions.

Image of FIG. 10.
FIG. 10.

Relative residual error and root-mean-square error for a noisy reconstruction.

Tables

Generic image for table
TABLE I.

Material properties of spheres designed to mimic human tissue.

Generic image for table
TABLE II.

Characteristics of the spheres in the tissue-mimicking phantom.

Loading

Article metrics loading...

/content/asa/journal/jasa/128/2/10.1121/1.3458856
2010-08-09
2014-04-18
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/2/10.1121/1.3458856
10.1121/1.3458856
SEARCH_EXPAND_ITEM