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As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
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Related Experiment Video

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Speed-of-sound imaging using diverging waves.

Richard Rau1, Dieter Schweizer2, Valery Vishnevskiy2

  • 1Computer-assisted Applications in Medicine group, ETH Zurich, Zurich, Switzerland. richard.rau@vision.ee.ethz.ch.

International Journal of Computer Assisted Radiology and Surgery
|June 23, 2021
PubMed
Summary

This study introduces a new method for ultrasound imaging that measures the speed of sound in tissues to improve image quality. By using diverging waves instead of standard plane waves, the researchers achieved clearer images of breast tissue phantoms, making it easier to distinguish between tumors and cysts.

Keywords:
Aberration correctionComputer tomographyInverse problemReconstructionSpeed-of-sound imagingAcoustic property mappingWavefront aberrationComputer-assisted interventionUltrasound-guided biopsy

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Area of Science:

  • Medical imaging physics within diagnostic radiology
  • Speed-of-sound imaging techniques for clinical diagnostics

Background:

Standard ultrasound imaging provides real-time, portable, and safe diagnostic capabilities for various clinical procedures. Conventional brightness-mode displays often struggle to differentiate soft tissues effectively during complex medical interventions. Recent developments allow for mapping the speed of sound within biological structures using standard equipment. This capability offers promising new contrast mechanisms for surgical planning and navigation tasks. Prior research has relied heavily on plane wave sequences to estimate these acoustic properties. That approach frequently suffers from significant distortion caused by wavefront aberration effects. No prior work had resolved the inherent limitations regarding image quality found in these traditional transmission schemes. This uncertainty drove the exploration of alternative wave propagation patterns to enhance diagnostic reliability.

Purpose Of The Study:

The study aims to enhance the reliability and accuracy of speed-of-sound imaging for clinical applications. Researchers sought to address the significant image quality limitations inherent in traditional plane wave transmission schemes. Current methods often suffer from excessive wavefront aberration, which degrades the precision of acoustic property reconstruction. This investigation explores whether diverging waves can serve as a more effective alternative for ultrasound-based tissue characterization. The authors specifically examine the comparative performance of diverging waves versus plane waves in a controlled setting. They intend to demonstrate that this new transmission pattern reduces distortion during the critical displacement tracking step. By improving contrast-to-noise ratios, the team hopes to facilitate better detection of lesions in computer-assisted interventions. This work provides a systematic evaluation of how different wave patterns influence the final diagnostic output in soft tissue imaging.

Main Methods:

The research team designed a comparative framework to evaluate diverging wave transmission against traditional plane wave sequences. They utilized synthetic data to isolate the impact of wavefront aberration on displacement tracking accuracy. A systematic parameterization sensitivity analysis was conducted using a series of simulated phantoms. The investigators then transitioned to experimental validation using actual ultrasound acquisitions of a breast phantom. This phantom contained both high-contrast tumor-representative and low-contrast cyst-representative inclusions. The reconstruction pipeline was modified to accommodate the diverging wave geometry for acoustic property estimation. Quantitative performance was assessed by calculating root-mean-square-error and contrast-to-noise ratio metrics. This rigorous approach allowed for a direct, side-by-side assessment of the two transmission strategies in controlled environments.

Main Results:

The diverging wave method improved reconstruction accuracy by over 20% in root-mean-square-error compared to plane wave sequences. Contrast-to-noise ratio performance increased by 42% when using the proposed diverging wave transmission scheme. In the breast phantom, the contrast-to-noise ratio for a high-contrast tumor-representative inclusion improved by 42%. A 2.8-fold improvement in contrast-to-noise ratio was observed for a low-contrast cyst-representative inclusion. The analysis confirmed that diverging waves significantly mitigate the negative effects of wavefront aberration during displacement tracking. These quantitative gains were consistent across both the simulated phantom sets and the physical breast phantom acquisitions. The findings indicate that the diverging wave approach consistently outperforms the traditional plane wave method in image quality. This performance boost is particularly evident in the detection of low-contrast lesions that are typically difficult to visualize.

Conclusions:

The authors demonstrate that diverging wave transmission significantly enhances the accuracy of acoustic property mapping. Their results show a substantial reduction in reconstruction error compared to traditional plane wave methods. These findings suggest that diverging waves provide superior contrast for identifying both high and low density inclusions. Such improvements in image quality may facilitate broader clinical adoption for ultrasound-guided biopsy procedures. The researchers propose that this transmission strategy overcomes previous limitations related to signal distortion. Their analysis indicates that the proposed technique is robust across various simulated and experimental phantom configurations. This work highlights the potential for more reliable tissue characterization in computer-assisted medical interventions. The study concludes that adopting this alternative wave pattern improves diagnostic performance for challenging clinical scenarios.

The researchers propose that diverging waves reduce wavefront aberration effects during the displacement tracking phase. This shift leads to a 20% improvement in root-mean-square-error and a 42% increase in contrast-to-noise ratio compared to plane wave sequences.

The study utilizes simulated phantoms for parameterization sensitivity analysis and actual ultrasound acquisitions of a breast phantom. These tools allow for a direct comparison between the proposed diverging wave method and the traditional plane wave transmission scheme.

A diverging wave transmission is necessary to mitigate the distortion caused by wavefront aberration. This phenomenon is particularly problematic in plane wave sequences, which often result in suboptimal image quality during the reconstruction of acoustic properties in soft tissues.

Synthetic examples serve as the primary data type for evaluating displacement tracking performance. These simulations allow the authors to isolate and measure the specific effects of wavefront aberration on the reconstruction pipeline before moving to physical breast phantoms.

The researchers measured the root-mean-square-error and the contrast-to-noise ratio. For a low-contrast cyst-representative inclusion, the diverging wave method achieved a 2.8-fold improvement in contrast-to-noise ratio compared to the standard plane wave approach.

The authors claim that the high imaging contrast provided by this method will facilitate clinical translation. They specifically suggest its utilization in computer-assisted interventions, such as ultrasound-guided biopsies, where standard brightness-mode contrast is often too low to detect potential lesions.