Electrical impedance tomography of translationally uniform cylindrical objects with general cross-sectional boundaries
An algorithm is developed for electrical impedance tomography (EIT) of finite cylinders with general cross-sectional boundaries and translationally uniform conductivity distributions. The electrodes for data collection are assumed to be placed around a cross-sectional plane; therefore, the axial var...
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| Veröffentlicht in: | IEEE transactions on medical imaging 1990-03, Vol.9 (1), p.49-59 |
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| container_title | IEEE transactions on medical imaging |
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| creator | Ider, Y.Z. Gencer, N.G. Atalar, E. Tosun, H. |
| description | An algorithm is developed for electrical impedance tomography (EIT) of finite cylinders with general cross-sectional boundaries and translationally uniform conductivity distributions. The electrodes for data collection are assumed to be placed around a cross-sectional plane; therefore, the axial variation of the boundary conditions and the potential field are expanded in Fourier series. For each Fourier component a two-dimensional (2-D) partial differential equation is derived. Thus the 3-D forward problem is solved as a succession of 2-D problems, and it is shown that the Fourier series can be truncated to provide substantial savings in computation time. The finite element method is adopted and the accuracy of the boundary potential differences (gradients) thus calculated is assessed by comparison to results obtained using cylindrical harmonic expansions for circular cylinders. A 1016-element and 541-node mesh is found to be optimal. The algorithm is applied to data collected from phantoms, and the errors incurred from the several assumptions of the method are investigated.< > |
| doi_str_mv | 10.1109/42.52982 |
| format | Article |
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The electrodes for data collection are assumed to be placed around a cross-sectional plane; therefore, the axial variation of the boundary conditions and the potential field are expanded in Fourier series. For each Fourier component a two-dimensional (2-D) partial differential equation is derived. Thus the 3-D forward problem is solved as a succession of 2-D problems, and it is shown that the Fourier series can be truncated to provide substantial savings in computation time. The finite element method is adopted and the accuracy of the boundary potential differences (gradients) thus calculated is assessed by comparison to results obtained using cylindrical harmonic expansions for circular cylinders. A 1016-element and 541-node mesh is found to be optimal. The algorithm is applied to data collected from phantoms, and the errors incurred from the several assumptions of the method are investigated.< ></description><identifier>ISSN: 0278-0062</identifier><identifier>EISSN: 1558-254X</identifier><identifier>DOI: 10.1109/42.52982</identifier><identifier>PMID: 18222750</identifier><identifier>CODEN: ITMID4</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Biological and medical sciences ; Boundary conditions ; Conductivity ; Electrodes ; Electrodiagnosis. Electric activity recording ; Finite element methods ; Fourier series ; Imaging phantoms ; Impedance ; Investigative techniques, diagnostic techniques (general aspects) ; Medical sciences ; Miscellaneous. 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The electrodes for data collection are assumed to be placed around a cross-sectional plane; therefore, the axial variation of the boundary conditions and the potential field are expanded in Fourier series. For each Fourier component a two-dimensional (2-D) partial differential equation is derived. Thus the 3-D forward problem is solved as a succession of 2-D problems, and it is shown that the Fourier series can be truncated to provide substantial savings in computation time. The finite element method is adopted and the accuracy of the boundary potential differences (gradients) thus calculated is assessed by comparison to results obtained using cylindrical harmonic expansions for circular cylinders. A 1016-element and 541-node mesh is found to be optimal. The algorithm is applied to data collected from phantoms, and the errors incurred from the several assumptions of the method are investigated.< ></description><subject>Biological and medical sciences</subject><subject>Boundary conditions</subject><subject>Conductivity</subject><subject>Electrodes</subject><subject>Electrodiagnosis. Electric activity recording</subject><subject>Finite element methods</subject><subject>Fourier series</subject><subject>Imaging phantoms</subject><subject>Impedance</subject><subject>Investigative techniques, diagnostic techniques (general aspects)</subject><subject>Medical sciences</subject><subject>Miscellaneous. Technology</subject><subject>Partial differential equations</subject><subject>Tomography</subject><subject>Two dimensional displays</subject><issn>0278-0062</issn><issn>1558-254X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1990</creationdate><recordtype>article</recordtype><recordid>eNp90c9vFSEQB3BiNPZZTbx6MRyMetkKs8DC0TT1R9LEiybeNiw7tDTs8oRdzfvvpW9f6s0TCfOZIXyHkJecXXDOzAcBFxKMhkdkx6XUDUjx8zHZMeh0w5iCM_KslDvGuJDMPCVnXANAJ9mO_L6K6JYcnI00THsc7eyQLmlKN9nubw80ebpkO5dol5BmG-OBrnPwKU_UHWKYx603DXd1TqF_wnJLb3DGXC9dTqU0pRaOrXRI6zzaHLA8J0-8jQVfnM5z8uPT1ffLL831t89fLz9eN641sDTQGeGHVgjmGR8EAheAemRSIROt5qOxiN4junEQznRKqaFFUDA4DZyp9py82-buc_q1Yln6KRSHMdoZ01r6rhUgOi1ZlW__K0G3gmm4h-83ePxdRt_vc5hsPvSc9ffb6AX0x21U-vo0cx0mHP_BU_wVvDkBW2qKvgbtQnlwyjBllKzs1cYCIj5Utzf-AsWSm9g</recordid><startdate>19900301</startdate><enddate>19900301</enddate><creator>Ider, Y.Z.</creator><creator>Gencer, N.G.</creator><creator>Atalar, E.</creator><creator>Tosun, H.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7U5</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope></search><sort><creationdate>19900301</creationdate><title>Electrical impedance tomography of translationally uniform cylindrical objects with general cross-sectional boundaries</title><author>Ider, Y.Z. ; Gencer, N.G. ; Atalar, E. ; Tosun, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-2794fb3440f01b4e2142e8d056e04381d9aeeffeecdb4c97666b3e262bc821063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1990</creationdate><topic>Biological and medical sciences</topic><topic>Boundary conditions</topic><topic>Conductivity</topic><topic>Electrodes</topic><topic>Electrodiagnosis. Electric activity recording</topic><topic>Finite element methods</topic><topic>Fourier series</topic><topic>Imaging phantoms</topic><topic>Impedance</topic><topic>Investigative techniques, diagnostic techniques (general aspects)</topic><topic>Medical sciences</topic><topic>Miscellaneous. Technology</topic><topic>Partial differential equations</topic><topic>Tomography</topic><topic>Two dimensional displays</topic><toplevel>online_resources</toplevel><creatorcontrib>Ider, Y.Z.</creatorcontrib><creatorcontrib>Gencer, N.G.</creatorcontrib><creatorcontrib>Atalar, E.</creatorcontrib><creatorcontrib>Tosun, H.</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on medical imaging</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ider, Y.Z.</au><au>Gencer, N.G.</au><au>Atalar, E.</au><au>Tosun, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Electrical impedance tomography of translationally uniform cylindrical objects with general cross-sectional boundaries</atitle><jtitle>IEEE transactions on medical imaging</jtitle><stitle>TMI</stitle><addtitle>IEEE Trans Med Imaging</addtitle><date>1990-03-01</date><risdate>1990</risdate><volume>9</volume><issue>1</issue><spage>49</spage><epage>59</epage><pages>49-59</pages><issn>0278-0062</issn><eissn>1558-254X</eissn><coden>ITMID4</coden><abstract>An algorithm is developed for electrical impedance tomography (EIT) of finite cylinders with general cross-sectional boundaries and translationally uniform conductivity distributions. The electrodes for data collection are assumed to be placed around a cross-sectional plane; therefore, the axial variation of the boundary conditions and the potential field are expanded in Fourier series. For each Fourier component a two-dimensional (2-D) partial differential equation is derived. Thus the 3-D forward problem is solved as a succession of 2-D problems, and it is shown that the Fourier series can be truncated to provide substantial savings in computation time. The finite element method is adopted and the accuracy of the boundary potential differences (gradients) thus calculated is assessed by comparison to results obtained using cylindrical harmonic expansions for circular cylinders. A 1016-element and 541-node mesh is found to be optimal. The algorithm is applied to data collected from phantoms, and the errors incurred from the several assumptions of the method are investigated.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><pmid>18222750</pmid><doi>10.1109/42.52982</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | IEEE transactions on medical imaging, 1990-03, Vol.9 (1), p.49-59 |
| issn | 0278-0062 1558-254X |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Biological and medical sciences Boundary conditions Conductivity Electrodes Electrodiagnosis. Electric activity recording Finite element methods Fourier series Imaging phantoms Impedance Investigative techniques, diagnostic techniques (general aspects) Medical sciences Miscellaneous. Technology Partial differential equations Tomography Two dimensional displays |
| title | Electrical impedance tomography of translationally uniform cylindrical objects with general cross-sectional boundaries |
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