An analytical comparison of ultrasonic array imaging algorithms
In the paper different techniques for post-processing data from an ultrasonic transducer array are considered. First, a mathematical model of the transmit-receive array data is developed. Then based on this model three imaging methods are formulated: the total focusing method, the wavenumber algorit...
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| Published in | The Journal of the Acoustical Society of America Vol. 127; no. 4; pp. 2377 - 2384 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.04.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0001-4966 1520-8524 1520-8524 |
| DOI | 10.1121/1.3308470 |
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| Abstract | In the paper different techniques for post-processing data from an ultrasonic transducer array are considered. First, a mathematical model of the transmit-receive array data is developed. Then based on this model three imaging methods are formulated: the total focusing method, the wavenumber algorithm, and the back-propagation method. Although these methods are conceptually different and use different approximations they can all be expressed in the form of a linear superposition of transmit-receive signals in the frequency domain with some focusing coefficients. The equivalent coefficients for each processing algorithm are derived, and difference between approaches is discussed. It is shown that in the general case the most appropriate imaging method is the back-propagation method, which is based on the back-propagation of the angular spectrum of transmit-receive signals. The relative performance of the imaging methods is illustrated using simulated and experimental data. |
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| AbstractList | In the paper different techniques for post-processing data from an ultrasonic transducer array are considered. First, a mathematical model of the transmit-receive array data is developed. Then based on this model three imaging methods are formulated: the total focusing method, the wavenumber algorithm, and the back-propagation method. Although these methods are conceptually different and use different approximations they can all be expressed in the form of a linear superposition of transmit-receive signals in the frequency domain with some focusing coefficients. The equivalent coefficients for each processing algorithm are derived, and difference between approaches is discussed. It is shown that in the general case the most appropriate imaging method is the back-propagation method, which is based on the back-propagation of the angular spectrum of transmit-receive signals. The relative performance of the imaging methods is illustrated using simulated and experimental data. In the paper different techniques for post-processing data from an ultrasonic transducer array are considered. First, a mathematical model of the transmit-receive array data is developed. Then based on this model three imaging methods are formulated: the total focusing method, the wavenumber algorithm, and the back-propagation method. Although these methods are conceptually different and use different approximations they can all be expressed in the form of a linear superposition of transmit-receive signals in the frequency domain with some focusing coefficients. The equivalent coefficients for each processing algorithm are derived, and difference between approaches is discussed. It is shown that in the general case the most appropriate imaging method is the back-propagation method, which is based on the back-propagation of the angular spectrum of transmit-receive signals. The relative performance of the imaging methods is illustrated using simulated and experimental data.In the paper different techniques for post-processing data from an ultrasonic transducer array are considered. First, a mathematical model of the transmit-receive array data is developed. Then based on this model three imaging methods are formulated: the total focusing method, the wavenumber algorithm, and the back-propagation method. Although these methods are conceptually different and use different approximations they can all be expressed in the form of a linear superposition of transmit-receive signals in the frequency domain with some focusing coefficients. The equivalent coefficients for each processing algorithm are derived, and difference between approaches is discussed. It is shown that in the general case the most appropriate imaging method is the back-propagation method, which is based on the back-propagation of the angular spectrum of transmit-receive signals. The relative performance of the imaging methods is illustrated using simulated and experimental data. |
| Author | Wilcox, Paul D. Velichko, Alexander |
| Author_xml | – sequence: 1 givenname: Alexander surname: Velichko fullname: Velichko, Alexander – sequence: 2 givenname: Paul D. surname: Wilcox fullname: Wilcox, Paul D. |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/20370020$$D View this record in MEDLINE/PubMed |
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| SubjectTerms | Acoustics - instrumentation Algorithms Computer Simulation Fourier Analysis Linear Models Models, Theoretical Numerical Analysis, Computer-Assisted Signal Processing, Computer-Assisted Time Factors Transducers Ultrasonics |
| Title | An analytical comparison of ultrasonic array imaging algorithms |
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