Main Article Content
Introduction: This publication is the product of research developed within the research lines of the Smart Sensing, Signal Processing, and Applications (3SPA) research group throughout 2018, which supports the work of a doctor’s degree at VNU University of Engineering & Technology, Vietnam.
Problem: The limitations of diagnostic ultrasound techniques using echo information has motivated the study of new imaging models in order to create additional quantitative ultrasound information in multi-model imaging devices. A promising solution is to use image sound contrast because it is capable of detecting changes in diseased tissue structures. Ultrasound tomography shows speed-of-sound changes in the propagation medium of sound waves. This technique is primarily used for imaging cancer-causing cells in womens’ breasts. The Distorted Born Iterative Method (DBIM), based on the first-order Born approximation, is an efficient diffraction tomography approach. The compressed sensing technique is utilized for DBIM to obtain the high-quality ultrasound image, although the image reconstruction process is quite long.
Objective: The objective of the research is to propose an combined method for the efficient ultrasound tomography.
Methodology: In this paper, we proposed an approach to enhance the imaging quality and to reduce the imaging time by applying the compressed sensing technique along with the multi-resolution technique for the DBIM.
Results: The simulation results indicate that the imaging time is reduced by 33% and the imaging quality is improved by 83%.
Conclusion: This project seeks to propose an improvement in ultrasound tomography. The simulated results confirmed the realibility of the propsed method.
Originality: Through this research, a combined method of compressed sensing and multiple resolution are formulated for the first time in ultrasound tomography.
Limitations: The lack of experiments to confirm the proposed method.
As the author of the article, I declare that is an original unpublished work exclusively created by me, that it has not been submitted for simultaneous evaluation by another publication and that there is no impediment of any kind for concession of the rights provided for in this contract.
In this sense, I am committed to await the result of the evaluation by the journal Ingeniería Solidaría before considering its submission to another medium; in case the response by that publication is positive, additionally, I am committed to respond for any action involving claims, plagiarism or any other kind of claim that could be made by third parties.
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 J. Wiskin, D.T. Borup, S.A. Johnson, M. Berggren, T. Abbott, and R. Hanover R. “Full-wave, non-linear, inverse scattering high resolution quantitative breast tissue tomography,” Acoustical Imaging, vol. 28, pp. 183-193.
 A. Abubakar, T. M. Habashy, P. M. Van den Berg, and D. Gisolf, “The diago-nalized contrast source approach: An inversion method beyond the Born approximation,” Inverse Problems, vol. 21, pp. 685-702.
 A.J. Devaney, “Inversion formula for inverse scattering within the Born approximation,” Optics Letters, vol. 7, pp. 111-112.
 A.J. Hesford and W.C. Chew, “Fast inverse scattering solutions using the dis-torted Born iterative method and the multilevel fast multipole algorithm,” J Acous Soc America, vol. 128, pp. 679-690.
 L. V. Wang, Photoacoustic imaging and spectroscopy. CRC Press, 2009.
 R. A. Kruger, D. R. Reinecke, and G. A. Kruger, “Thermoacoustic computed tomography-technical considerations,” Med Phys, vol. 26, no. 9, pp. 1832-1837.
 J. R. McLaughlin, N. Zhang, and A. Manduca A., “Calculating tissue shear modulus and pressure by 2D logelastographic methods,” Inverse Problems, 26085007.
 Y. Xu and B. He, “Magnetic Acoustic to-mography with magnetic induction (MAT-MI),” Phys. Med. Bio, vol. 50, pp. 5175-5187.
 E.J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Information Theory, vol. 52, no. 2, pp. 489-509.
 D.L. Donoho, “Compressed sensing,” IEEE Transactions on Information Theory, vol. 52, no. 4, pp. 1289-1306.
 Tran-Duc, Tan, Nguyen Linh-Trung, and M. N. Do., “Modified Distorted Born Iterative Method for Ultrasound Tomography by Random Sampling,” International Symposium on Communications and Information Technologies (ISCIT), pp. 1065-1068.
 R. Sloun, Pandharipande, A. Mischi, and L. Demi, “Compressed Sensing for Ultrasound Computed Tomography,” IEEE Transactions on Biomedical Engineering, vol. 62, no. 6, pp. 1660-1664.
 Medgadget. (2014) Delphinus Medical's SoftVue Ultrasound Tomography System Cleared in U.S. [Online]. Available: http://www.medgadget.com/2014/01/delphinus-medicals-softvue-ultrasound-tomography-system-cleared-in-u-s.html.
 R. J. Lavarello and M. L. Oelze, “Tomographic Reconstruction of Three-Dimensional Volumes Using the Distorted Born Iterative Method,” IEEE Transactions on Medical Imaging, vol. 28, pp. 1643-1653.
 K. Seung-Jean, et al., “An interior-point method for large-scale l1-regularized least squares (2007),” IEEE Journal of Selected Topics in Signal Processing, vol. 1, no. 4, pp. 606-617.
 H. Jegou, M. Douze, and C. Schmid, C., “Product quantization for nearest neighbor search,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 33, no. 1, pp. 117-128.