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Nonlinear pth root spectral magnitude scaling beamforming for clinical photoacoustic and ultrasound imaging

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Abstract

A recently introduced nonlinear $p$th root delay-and-sum (${\text{NL-}} p {\text{-DAS}}$) beamforming (BF) technique for ultrasound (US) and photoacoustic (PA) imaging, achieving better spatial and contrast resolution compared to a conventional delay and sum (DAS) technique. While the method is advantageous for better resolution, it suffers from grainy speckles and dark areas in the image mainly due to the interference of non-sinusoidal functions. In this Letter, we introduce a modified ${\text{NL-}} p {\text{-DAS}}$ technique called nonlinear $p$th root spectral magnitude scaling (${\text{NL-}} p {\text{-SMS}}$), which performs the $p$th root on the spectral magnitude instead of the temporal amplitude. We evaluated the US and PA images of ${\text{NL-}} p {\text{-SMS}}$ against those of ${\text{NL-}} p {\text{-DAS}}$ by comparing the axial and lateral line profiles, contrasts, and contrast-to-noise ratios (CNRs) in both phantom and in vivo imaging studies with various $p$ values. As a result, we found that the ${\text{NL-}} p {\text{-SMS}}$ has better axial resolution and CNR than the ${\text{NL-}} p {\text{-DAS}}$, and reduces the grainy speckles and dark area artifacts. We believe that, with this enhanced performance, our proposed approach could be an advancement compared to the existing nonlinear BF algorithms.

© 2020 Optical Society of America

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Supplementary Material (6)

NameDescription
Visualization 1       (a) Signal histograms of representative US images processed with the NL-p-DAS for various p values. Fixed dynamic ranges, independent of p, were applied in the conventional methods. (b),(c) Representative US (b) and PA (c) signal histograms.
Visualization 2       Comparison of the PA and US images beamformed with the NL-p-SMS using STFT with various window sizes and FFT.
Visualization 3       Comparison of computational complexities of NL-p-DAS (a) and NL-p-SMS (b).
Visualization 4       (a) NL-p-DAS (top) and NL-p-SMS (bottom) US images of a hyperechoic phantom. (b) Line profiles extracted along the white dotted line in (a).
Visualization 5       Simulated PA images of three targets with a diameter of 4 mm reconstructed with DAS, NL-p-DAS, and NL-p-SMS. The center frequency of the simulated transducer is 8.5 MHz with a fractional bandwidth of 75%.
Visualization 6       (a) US images of a human thyroid in vivo NL-p-DAS (top) and NL-p-SMS (bottom) for various p values. (b) Enlarged images in the area highlighted with a red dashed box in (a). (c) Axial line profiles extracted from the dashed line in (b).

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Figures (4)

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Equations (8)

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