An Enhanced Multi-Frequency Distorted Born Iterative Method for Ultrasound Tomography Based on Fundamental Tone and Overtones

Quang-Huy, Tran; Nguyen, Tuan-Khai; Solanki, Vijender Kumar; Tran, Duc–Tan

doi:10.4018/ijirr.289608

Cited by 4 publications

(4 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quality of the recovered images by this scheme is better than that of the DBIM, and the computation time is also significantly reduced. The multi-frequency (MF) technique has been studied and applied to the DBIM in [25][26][27][28][29][30][31][32][33][34][35][36][37]. This approach is applied as follows: in the first step, the lower frequency acquired data are used to ensure fast convergence, and in the second step, the higher frequency acquired data are used to ensure the high resolution of the reconstructed image.…”

Section: Methodsmentioning

confidence: 99%

High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme

et al. 2022

Self Cite

View full text Add to dashboard Cite

In ultrasound tomography, cross-sectional images represent the spatial distribution of the physical parameters of a target of interest, which can be obtained based on scattered ultrasound measurements. These measurements can be obtained from dense datasets collected at different transmitter and receiver locations, and using multiple frequencies. The Born approximation method, which provides a simple linear relationship between the objective function and the scattering field, has been adopted to resolve the inverse scattering problem. The distorted Born iterative method (DBIM), which utilizes the first-order Born approximation, is a productive diffraction tomography scheme. In this article, the range of interpolation applications is extended at the multilayer level, taking into account the advantages of integrating this multilayer level with multiple frequencies for the DBIM. Specifically, we consider: (a) a multi-resolution technique, i.e., a multi-step interpolation for the DBIM: MR-DBIM, with the advantage that the normalized absolute error is reduced by 18.67% and 37.21% in comparison with one-step interpolation DBIM and typical DBIM, respectively; (b) the integration of multi-resolution and multi-frequency techniques with the DBIM: MR-MF-DBIM, which is applied to image targets with high sound contrast in a strongly scattering medium. Relative to MR-DBIM, this integration offers a 44.01% reduction in the normalized absolute error.

show abstract

Section: Methodsmentioning

confidence: 99%

High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

“…This problematical question looks not slight particularly if the frequencies of the sources are dissimilar. Thus, the calculation by mathematical modeling (supposed most adequate) of such kind of problem presents multifaceted difficulties [12,13] .…”

Section: Intricate Effects Of Exposure To Multiple Sources Of Rf-emfmentioning

confidence: 99%

Potential health effects of radiofrequency electromagnetic fields exposure

Razek

2023

TSE

View full text Add to dashboard Cite

show abstract

“…This method recovers images with higher quality than the DBI and with a noticeably shorter computation time. In the works 33,34 , frequency-hopping (dual-or multi-frequency) technique has been researched and used with the DBI. The objects in Nf1 and Nf2 loops are recovered using the frequencies f1 and f2.…”

mentioning

confidence: 99%

Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography

Quang-Huy,

Sharma,

Theu

et al. 2024

Preprint

Self Cite

View full text Add to dashboard Cite

The distorted Born iterative (DBI) method is considered to obtain images with high-contrast and resolution. Besides satisfying the Born approximation condition, the frequency-hopping (FH) technique is necessary to gradually update the sound contrast from the first iteration and progress to the actual sound contrast of the imaged object in subsequent iterations. Inspired by the fact that the higher the frequency, the higher the resolution. Because low-frequency allows for low-resolution object imaging, hence for high-resolution imaging requirements, using low-frequency to possess a high-resolution image from the first iteration will be less efficient. For an effective reconstruction, the object's resolution at low frequencies should be small. And similarly, with high frequencies, the object resolution should be larger. Therefore, in this paper, the FH, and the resolution-turning (RT) technique are proposed to obtain object images with high-contrast and -resolution. The convergence speed in the initial iterations is rapidly achieved by utilizing low frequency in the frequency-turning technique and low image resolution in the resolution-turning technique. It is crucial to ensure accurate object reconstruction for subsequent iterations. The desired spatial resolution is attained by employing high frequency and large image resolution. The resolution-turning distorted Born iterative (RT-DBI) and frequency-hopping distorted Born iterative (FH-DBI) solutions are thoroughly investigated to exploit their best performance. This makes sense because if it is not good to choose the number of iterations for the frequency f1 in FH-DBI and for the resolution of N1×N1 in RT-DBI, then these solutions give even worse quality than traditional DBI. After that, the RT-FH-DBI integration was investigated in two sub-solutions. We found that the lower frequency f1 used both before and after the RT would get the best performance. Consequently, compared to the traditional DBI approaches, the normalized error and total runtime for the reconstruction process were dramatically decreased, at 83.6% and 18.6%, respectively. Besides fast and quality imaging, the proposed solution RT-FH-DBI is promised to produce high-contrast and high-resolution object images, aiming at object reconstruction at the biological tissue. The development of 3D imaging and experimental verification will be studied further.

show abstract

An Enhanced Multi-Frequency Distorted Born Iterative Method for Ultrasound Tomography Based on Fundamental Tone and Overtones

Cited by 4 publications

References 15 publications

High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme

High Sound-Contrast Inverse Scattering by MR-MF-DBIM Scheme

Potential health effects of radiofrequency electromagnetic fields exposure

Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography

Contact Info

Product

Resources

About