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| DC Field | Value | Language |
|---|---|---|
| dc.citation.endPage | 1039 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 1029 | - |
| dc.citation.title | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
| dc.citation.volume | 15 | - |
| dc.contributor.author | Moon, Sunghwan | - |
| dc.date.accessioned | 2023-12-21T23:45:33Z | - |
| dc.date.available | 2023-12-21T23:45:33Z | - |
| dc.date.created | 2016-05-03 | - |
| dc.date.issued | 2016-05 | - |
| dc.description.abstract | A spherical Radon transform whose integral domain is a sphere has many applications in partial differential equations as well as tomography. This paper is devoted to the spherical Radon transform which assigns to a given function its integrals over the set of spheres passing through the origin. We present a relation between this spherical Radon transform and the regular Radon transform, and we provide a new inversion formula for the spherical Radon transform using this relation. Numerical simulations were performed to demonstrate the suggested algorithm in dimension 2. | - |
| dc.identifier.bibliographicCitation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.15, no.3, pp.1029 - 1039 | - |
| dc.identifier.doi | 10.3934/cpaa.2016.15.1029 | - |
| dc.identifier.issn | 1534-0392 | - |
| dc.identifier.scopusid | 2-s2.0-84958794263 | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/19078 | - |
| dc.identifier.url | http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12258 | - |
| dc.identifier.wosid | 000373479100017 | - |
| dc.language | 영어 | - |
| dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
| dc.title | Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.subject.keywordAuthor | Compton | - |
| dc.subject.keywordAuthor | circular-arc | - |
| dc.subject.keywordAuthor | spherical | - |
| dc.subject.keywordAuthor | Radon | - |
| dc.subject.keywordAuthor | tomography | - |
| dc.subject.keywordAuthor | transform | - |
| dc.subject.keywordPlus | LINE INTEGRALS | - |
| dc.subject.keywordPlus | RADIOLOGICAL APPLICATIONS | - |
| dc.subject.keywordPlus | DARBOUX EQUATION | - |
| dc.subject.keywordPlus | REPRESENTATION | - |
| dc.subject.keywordPlus | RECONSTRUCTION | - |
| dc.subject.keywordPlus | TOMOGRAPHY | - |
| dc.subject.keywordPlus | AVERAGES | - |
| dc.subject.keywordPlus | GEOMETRY | - |
| dc.subject.keywordPlus | SPACES | - |
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