{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T08:20:00Z","timestamp":1774340400571,"version":"3.50.1"},"reference-count":33,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T00:00:00Z","timestamp":1601251200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Many studies have been carried out on ultrasound computed tomography (USCT) for its potential application in breast imaging. The sound speed (SS) image modality in USCT can help doctors diagnose the breast cancer, as the tumor usually has a higher sound speed than normal tissues. Travel time is commonly used to reconstruct SS image. Raypath travel-time tomography (RTT) assumes that the sound wave travels through a raypath. RTT is computationally efficient but with low contrast to noise ratio (CNR). Fresnel zone travel-time tomography (FZTT) is based on the assumption that the sound wave travels through an area called the Fresnel zone. FZTT can provide SS image with high CNR but low accuracy due to the wide Fresnel zone. Here, we propose a zone-shrinking Fresnel zone travel-time tomography (ZSFZTT), where a weighting factor is adopted to shrink the Fresnel zone during the inversion process. Numerical phantom and in vivo breast experiments were performed with ZSFZTT, FZTT, and RTT. In the numerical experiment, the reconstruction biases of size by ZSFZTT, FZTT, and RTT were 0.2%~8.3%, 2.3%~31.7%, and 1.8%~25%; the reconstruction biases of relative SS value by ZSFZTT, FZTT, and RTT were 24.7%~42%, 53%~60.8%, and 30.3%~47.8%; and the CNR by ZSFZTT, FZTT, and RTT were 67.7~96.6, 68.5~98, and 1.7~2.7. In the in vivo breast experiment, ZSFZTT provided the highest CNR of 8.6 compared to 8.1 by FZTT and 1.9 by RTT. ZSFZTT improved the reconstruction accuracy of size and the relative reconstruction accuracy of SS value compared to FZTT and RTT while maintaining a high CNR similar to that of FZTT.<\/jats:p>","DOI":"10.3390\/s20195563","type":"journal-article","created":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T10:39:58Z","timestamp":1601289598000},"page":"5563","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Zone-Shrinking Fresnel Zone Travel-Time Tomography for Sound Speed Reconstruction in Breast USCT"],"prefix":"10.3390","volume":"20","author":[{"given":"Xiaoyue","family":"Fang","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yun","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junjie","family":"Song","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hang","family":"Yin","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiude","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaohui","family":"Quan","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3933-1205","authenticated-orcid":false,"given":"Mingyue","family":"Ding","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming","family":"Yuchi","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wiskin, J.W., Malik, B., Natesan, R., Pirshafiey, N., Klock, J., and Lenox, M. (2019). 3D Full Inverse Scattering Ultrasound Tomography of the Human Knee. Medical Imaging 2019: Ultrasonic Imaging and Tomography, SPIE.","DOI":"10.1117\/12.2512595"},{"key":"ref_2","unstructured":"Bosch, J.G., Doyley, M.M., Duric, N., Littrup, P., Schmidt, S., Li, C., Roy, O., Bey-Knight, L., Janer, R., and Kunz, D. (2013). Breast Imaging with the SoftVue Imaging System: First Results. Medical Imaging 2013: Ultrasonic Imaging, Tomography, SPIE."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Ruiter, N., Zapf, M., Dapp, R., Hopp, T., and Gemmeke, H. (2013, January 21\u201325). First in vivo results with 3D ultrasound computer tomography. Proceedings of the 2013 IEEE International Ultrasonics Symposium, Prague, Czech Republic.","DOI":"10.1109\/ULTSYM.2013.0168"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2015\/454028","article-title":"Imaging Performance of Quantitative Transmission Ultrasound","volume":"2015","author":"Lenox","year":"2015","journal-title":"Int. J. Biomed. Imaging"},{"key":"ref_5","first-page":"692014","article-title":"A study of 3-way image fusion for characterizing acoustic properties of breast tissue","volume":"6920","author":"Xu","year":"2008","journal-title":"Proc. SPIE Int. Soc. Opt. Eng."},{"key":"ref_6","first-page":"72651G","article-title":"Detection and characterization of breast masses with ultrasound tomography: Clinical results","volume":"7265","author":"Duric","year":"2009","journal-title":"Proc. SPIE Int. Soc. Opt. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1007\/s10396-016-0724-y","article-title":"Synthetic aperture ultrasound imaging with a ring transducer array: Preliminary ex vivo results","volume":"43","author":"Qu","year":"2016","journal-title":"J. Med Ultrason."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Li, C., Sandhu, G.Y., Boone, M., and Duric, N. (2017). Breast Imaging Using Waveform Attenuation Tomography, Society of Photo-optical Instrumentation Engineers (SPIE).","DOI":"10.1117\/12.2255569"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2679","DOI":"10.1364\/BOE.5.002679","article-title":"In vivo quantitative photoacoustic microscopy of gold nanostar kinetics in mouse organs","volume":"5","author":"Li","year":"2014","journal-title":"Biomed. Opt. Express"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"061211","DOI":"10.1117\/1.JBO.17.6.061211","article-title":"Photoacoustic computed tomography correcting for heterogeneity and attenuation","volume":"17","author":"Huang","year":"2012","journal-title":"J. Biomed. Opt."},{"key":"ref_11","first-page":"692009","article-title":"Clinical breast imaging using sound-speed reconstructions of ultrasound tomography data","volume":"6920","author":"Li","year":"2008","journal-title":"Proc. SPIE Int. Soc. Opt. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Suzuki, A., Tsubota, Y., Wu, W., Yamanaka, K., Terada, T., and Kawabata, K. (2019). Full Waveform Inversion for Ultrasound Computed Tomography with High-Sensitivity Scan Method. Medical Imaging 2019: Ultrasonic Imaging and Tomography, SPIE.","DOI":"10.1117\/12.2512639"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"811","DOI":"10.1109\/TUFFC.2017.2682061","article-title":"Regularized Dual Averaging Image Reconstruction for Full-Wave Ultrasound Computed Tomography","volume":"64","author":"Matthews","year":"2017","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"R289","DOI":"10.1190\/geo2019-0210.1","article-title":"Rytov-approximation-based wave-equation traveltime tomography","volume":"85","author":"Feng","year":"2020","journal-title":"Geophysics"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1730","DOI":"10.1016\/j.jpdc.2013.09.007","article-title":"GPU-based iterative transmission reconstruction in 3D ultrasound computer tomography","volume":"74","author":"Birk","year":"2014","journal-title":"J. Parallel Distrib. Comput."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Wu, W., Tsubota, Y., Suzuki, A., Yamanaka, K., Terada, T., Kawabata, K., Yamashita, H., Kato, F., Nishida, M., and Satoh, M. (2019). High SNR Emission Method with Virtual Point Source in Ultrasound Computed Tomography. Medical Imaging 2019: Ultrasonic Imaging and Tomography, SPIE.","DOI":"10.1117\/12.2506954"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"106097","DOI":"10.1016\/j.ultras.2020.106097","article-title":"Speed of sound ultrasound transmission tomography image reconstruction based on B\u00e9zier curves","volume":"103","author":"Camacho","year":"2020","journal-title":"Ultrasonics"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"U35","DOI":"10.1190\/1.3169600","article-title":"Sensitivity kernels for seismic Fresnel volume tomography","volume":"74","author":"Liu","year":"2009","journal-title":"Geophysics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1190\/1.1443179","article-title":"Wave-equation tomography","volume":"57","author":"Woodward","year":"1992","journal-title":"Geophysics"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Watanabe, T., Matsuoka, T., and Ashida, Y. (1999). Seismic Traveltime Tomography Using Fresnel Volume Approach. SEG Technical Program Expanded Abstracts 1999, Society of Exploration Geophysicists.","DOI":"10.1190\/1.1820777"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1046\/j.1365-246X.2000.00070.x","article-title":"Frechet kernels for finite-frequency traveltimes-I. Theory","volume":"141","author":"Dahlen","year":"2000","journal-title":"Geophys. J. Int."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Roy, O., Schmidt, S., Li, C., Allada, V., and Duric, N. (2013, January 21\u201325). Breast imaging using ultrasound tomography: From clinical requirements to system design. Proceedings of the 2013 IEEE International Ultrasonics Symposium (IUS), Prague, Czech Republic.","DOI":"10.1109\/ULTSYM.2013.0300"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Lou, C., Xu, M., Ding, M., and Yuchi, M. (2016). Spatial Smoothing Coherence Factor for Ultrasound Computed Tomography. Medical Imaging 2016: Ultrasonic Imaging and Tomography, SPIE.","DOI":"10.1117\/12.2216191"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1166\/jmihi.2018.2230","article-title":"Synthetic Aperture Focusing Technique for 3-D Ultrasound Computed Tomography","volume":"8","author":"Wang","year":"2018","journal-title":"J. Med. Imaging Health Inform."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Wang, S., Li, C., Ding, M., and Yuchi, M. (2016). Frequency-Shift Low-Pass Filtering and Least Mean Square Adaptive Filtering for Ultrasound Imaging. Medical Imaging 2016: Ultrasonic Imaging and Tomography, SPIE.","DOI":"10.1117\/12.2216066"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1166\/jmihi.2020.2930","article-title":"A Prior-Information-Based Combination Solution for Picking the Difference of Time-of-Flight in Ultrasound Computed Tomography","volume":"10","author":"Fang","year":"2020","journal-title":"J. Med. Imaging Health Inform."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1190\/1.1442863","article-title":"Finite-difference calculation of travel times","volume":"55","author":"Vidale","year":"1988","journal-title":"Geophysics"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.ultras.2008.05.005","article-title":"An improved automatic time-of-flight picker for medical ultrasound tomography","volume":"49","author":"Li","year":"2009","journal-title":"Ultrasonics"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"805","DOI":"10.1046\/j.1365-246x.1999.00837.x","article-title":"Three-dimensional sensitivity kernels for finite-frequency traveltimes: The banana-doughnut paradox","volume":"137","author":"Marquering","year":"2010","journal-title":"Geophys. J. R. Astron. Soc."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"T167","DOI":"10.1190\/1.2358412","article-title":"Validation of first-order diffraction theory for the traveltimes and amplitudes of propagating waves","volume":"71","author":"Jocker","year":"2006","journal-title":"Geophysics"},{"key":"ref_31","unstructured":"Mikosch, T.V., Resnich, S.I., and Robinson, S.M. (2000). Limited-Memory Quasi-Newton Methods: Numerical Optimization, Springer. [2nd ed.]."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"4324","DOI":"10.1121\/1.4712021","article-title":"Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method","volume":"131","author":"Treeby","year":"2012","journal-title":"J. Acoust Soc. Am."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"3063","DOI":"10.1002\/mp.12957","article-title":"Quantitative transmission ultrasound tomography: Imaging and performance characteristics","volume":"45","author":"Malik","year":"2018","journal-title":"Med. Phys."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/19\/5563\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:14:34Z","timestamp":1760177674000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/19\/5563"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,28]]},"references-count":33,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2020,10]]}},"alternative-id":["s20195563"],"URL":"https:\/\/doi.org\/10.3390\/s20195563","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,28]]}}}