Determination of lateral modulation apodization functions using a regularized, weighted least squares estimation.
1Department of Information and Communication Sciences, Faculty of Science and Technology, Sophia University, 7-1 Kioi-Cho, Chiyoda-Ku, Tokyo 102-8554, Japan. c-sumi@sophia.ac.jp
This study introduces a regularized, weighted minimum-norm least squares (WMNLSs) method for optimizing apodization functions in lateral cosine modulation (LCM) ultrasound imaging. This technique improves spatial resolution and displacement measurements in tissues.
Area of Science:
- Ultrasound imaging
- Biomedical engineering
- Signal processing
Background:
- Lateral cosine modulation (LCM) is a method for advanced ultrasound (US) echo imaging and tissue displacement vector/strain tensor measurements.
- High lateral and axial spatial resolution are crucial for accurate US echo imaging.
- Precise measurement of lateral and axial tissue displacements is essential for various biomedical applications.
Purpose of the Study:
- To present a regularized, weighted minimum-norm least squares (WMNLSs) estimation method.
- To optimize the determination of apodization functions for the LCM method.
- To enhance the performance of LCM in ultrasound imaging and displacement measurements.
Main Methods:
- Development and application of the regularized WMNLSs estimation method.
- Simulation of Gaussian-type point spread functions (PSFs) with lateral modulation.
- Comparison with Fraunhofer approximation and singular-value decomposition (SVD) methods.
Main Results:
- The regularized WMNLSs estimation provides better approximations of designed PSFs compared to Fraunhofer and SVD methods.
- Achieved wider lateral bandwidths in simulated PSFs.
- Demonstrated the effectiveness of the WMNLSs method for apodization function determination.
Conclusions:
- The regularized WMNLSs estimation is a valuable tool for optimizing apodization functions in LCM-based ultrasound applications.
- This method enhances spatial resolution and accuracy in both echo imaging and displacement measurements.
- The findings support the advancement of next-generation ultrasound technologies.
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