Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography Tran Quang-Huy, Bhisham Sharma, Luong Thi Theu, Duc-Tan Tran, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3933718/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 14 You are reading this latest preprint version Abstract 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. Full Text Additional Declarations No competing interests reported. Supplementary Files ScientificReportsDatasets20240226T070030Z001.zip Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 08 May, 2024 Reviews received at journal 07 May, 2024 Reviews received at journal 30 Apr, 2024 Reviewers agreed at journal 26 Apr, 2024 Reviewers agreed at journal 18 Apr, 2024 Reviews received at journal 17 Apr, 2024 Reviews received at journal 13 Apr, 2024 Reviewers agreed at journal 05 Apr, 2024 Reviewers agreed at journal 05 Apr, 2024 Reviewers invited by journal 05 Apr, 2024 Editor assigned by journal 02 Apr, 2024 Editor invited by journal 27 Feb, 2024 Submission checks completed at journal 27 Feb, 2024 First submitted to journal 06 Feb, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3933718","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":275314379,"identity":"67570435-632b-42f6-9a5c-2cf4c255c926","order_by":0,"name":"Tran Quang-Huy","email":"","orcid":"","institution":"Hanoi Pedagogical University 2","correspondingAuthor":false,"prefix":"","firstName":"Tran","middleName":"","lastName":"Quang-Huy","suffix":""},{"id":275314380,"identity":"75291e0d-7628-4c75-b6ae-6115a987a4b6","order_by":1,"name":"Bhisham Sharma","email":"","orcid":"","institution":"Chitkara University Institute of Engineering and Technology","correspondingAuthor":false,"prefix":"","firstName":"Bhisham","middleName":"","lastName":"Sharma","suffix":""},{"id":275314381,"identity":"913a1444-975d-4d08-9d2d-1f13dfda5595","order_by":2,"name":"Luong Thi Theu","email":"","orcid":"","institution":"Hoa Binh University","correspondingAuthor":false,"prefix":"","firstName":"Luong","middleName":"Thi","lastName":"Theu","suffix":""},{"id":275314382,"identity":"0cfc8a01-a791-4111-b751-3b0e97feb0cb","order_by":3,"name":"Duc-Tan Tran","email":"","orcid":"","institution":"Phenikaa University","correspondingAuthor":false,"prefix":"","firstName":"Duc-Tan","middleName":"","lastName":"Tran","suffix":""},{"id":275314383,"identity":"6e446fbc-bcf6-448f-a92e-a74536aa0722","order_by":4,"name":"Subrata Chowdhury","email":"","orcid":"","institution":"Sreenivasa Institute of Technology and Management Studies","correspondingAuthor":false,"prefix":"","firstName":"Subrata","middleName":"","lastName":"Chowdhury","suffix":""},{"id":275314384,"identity":"98c93c22-bf1d-4dc6-afa2-eb2b66e41709","order_by":5,"name":"Chandran Karthik","email":"","orcid":"","institution":"Jyothi Engineering College","correspondingAuthor":false,"prefix":"","firstName":"Chandran","middleName":"","lastName":"Karthik","suffix":""},{"id":275314385,"identity":"7a6f0a72-ba95-4bd0-b098-c3932786a3df","order_by":6,"name":"Saravanakumar Gurusamy","email":"data:image/png;base64,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","orcid":"","institution":"FDRE Technical and Vocational Training Institute","correspondingAuthor":true,"prefix":"","firstName":"Saravanakumar","middleName":"","lastName":"Gurusamy","suffix":""}],"badges":[],"createdAt":"2024-02-06 11:46:03","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3933718/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3933718/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":51828570,"identity":"66ae31e6-08e3-4d98-9a58-c1b7497d33c9","added_by":"auto","created_at":"2024-02-29 17:33:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1610333,"visible":true,"origin":"","legend":"","description":"","filename":"ScientificReportsManuscript2024Feb.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3933718/v1_covered_30dd8952-9e30-4bac-b4f0-17849198f4fd.pdf"},{"id":51828272,"identity":"8d59bcc2-e618-4b2a-b3e1-19054b9b8657","added_by":"auto","created_at":"2024-02-29 17:25:09","extension":"zip","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":39613,"visible":true,"origin":"","legend":"","description":"","filename":"ScientificReportsDatasets20240226T070030Z001.zip","url":"https://assets-eu.researchsquare.com/files/rs-3933718/v1/d7e939fb0d32589f3803309d.zip"}],"financialInterests":"No competing interests reported.","formattedTitle":"Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3933718/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3933718/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"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.","manuscriptTitle":"Frequency-hopping along with Resolution-turning for Fast and Enhanced Reconstruction in Ultrasound Tomography","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-02-29 17:25:04","doi":"10.21203/rs.3.rs-3933718/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-05-08T12:36:00+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-05-07T09:30:39+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-04-30T17:09:35+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"f49a7632-d177-45e3-ac21-80f648ad55e5","date":"2024-04-26T07:22:44+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"f77b9fea-746e-42c9-9604-5d34980145d0","date":"2024-04-18T23:25:21+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-04-17T09:14:54+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-04-13T09:24:12+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"72de875c-bbfe-49d0-9316-fc48423e22d8","date":"2024-04-05T13:46:39+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"8a35123f-7a2f-410f-95ed-624945289f35","date":"2024-04-05T10:48:54+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-04-05T08:11:15+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-04-02T12:12:17+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2024-02-27T19:06:59+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-02-27T17:47:00+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2024-02-06T11:36:02+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"9b1902b5-ad5d-424d-bfec-3dd2a42101ed","owner":[],"postedDate":"February 29th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2024-06-27T10:37:11+00:00","versionOfRecord":[],"versionCreatedAt":"2024-02-29 17:25:04","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3933718","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3933718","identity":"rs-3933718","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.