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Optimal apodization design for medical ultrasound using constrained least squares part I: theory.

Publication ,  Journal Article
Guenther, DA; Walker, WF
Published in: IEEE transactions on ultrasonics, ferroelectrics, and frequency control
February 2007

Aperture weighting functions are critical design parameters in the development of ultrasound systems because beam characteristics affect the contrast and point resolution of the final output image. In previous work by our group, we developed a metric that quantifies a broadband imaging system's contrast resolution performance. We now use this metric to formulate a novel general ultrasound beamformer design method. In our algorithm, we use constrained least squares (CLS) techniques and a linear algebra formulation to describe the system point spread function (PSF) as a function of the aperture weightings. In one approach, we minimize the energy of the PSF outside a certain boundary and impose a linear constraint on the aperture weights. In a second approach, we minimize the energy of the PSF outside a certain boundary while imposing a quadratic constraint on the energy of the PSF inside the boundary. We present detailed analysis for an arbitrary ultrasound imaging system and discuss several possible applications of the CLS techniques, such as designing aperture weightings to maximize contrast resolution and improve the system depth of field.

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Published In

IEEE transactions on ultrasonics, ferroelectrics, and frequency control

DOI

EISSN

1525-8955

ISSN

0885-3010

Publication Date

February 2007

Volume

54

Issue

2

Start / End Page

332 / 342

Related Subject Headings

  • Ultrasonography
  • Sensitivity and Specificity
  • Reproducibility of Results
  • Quality Control
  • Models, Biological
  • Least-Squares Analysis
  • Image Interpretation, Computer-Assisted
  • Image Enhancement
  • Equipment Failure Analysis
  • Equipment Design
 

Citation

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Guenther, D. A., & Walker, W. F. (2007). Optimal apodization design for medical ultrasound using constrained least squares part I: theory. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 54(2), 332–342. https://doi.org/10.1109/tuffc.2007.247
Guenther, Drake A., and William F. Walker. “Optimal apodization design for medical ultrasound using constrained least squares part I: theory.IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 54, no. 2 (February 2007): 332–42. https://doi.org/10.1109/tuffc.2007.247.
Guenther DA, Walker WF. Optimal apodization design for medical ultrasound using constrained least squares part I: theory. IEEE transactions on ultrasonics, ferroelectrics, and frequency control. 2007 Feb;54(2):332–42.
Guenther, Drake A., and William F. Walker. “Optimal apodization design for medical ultrasound using constrained least squares part I: theory.IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 54, no. 2, Feb. 2007, pp. 332–42. Epmc, doi:10.1109/tuffc.2007.247.
Guenther DA, Walker WF. Optimal apodization design for medical ultrasound using constrained least squares part I: theory. IEEE transactions on ultrasonics, ferroelectrics, and frequency control. 2007 Feb;54(2):332–342.

Published In

IEEE transactions on ultrasonics, ferroelectrics, and frequency control

DOI

EISSN

1525-8955

ISSN

0885-3010

Publication Date

February 2007

Volume

54

Issue

2

Start / End Page

332 / 342

Related Subject Headings

  • Ultrasonography
  • Sensitivity and Specificity
  • Reproducibility of Results
  • Quality Control
  • Models, Biological
  • Least-Squares Analysis
  • Image Interpretation, Computer-Assisted
  • Image Enhancement
  • Equipment Failure Analysis
  • Equipment Design