Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography
Multispectral bioluminescence tomography (BLT) attracts increasingly more attention in the area of optical molecular imaging. In this paper, we analyze the properties of the solutions to the regularized and discretized multispectral BLT problems. First, we show the solution existence, uniqueness, an...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/IJBI/2006/54390 |
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| _version_ | 1832561871423537152 |
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| author | Weimin Han Wenxiang Cong Ge Wang |
| author_facet | Weimin Han Wenxiang Cong Ge Wang |
| author_sort | Weimin Han |
| collection | DOAJ |
| description | Multispectral bioluminescence tomography (BLT) attracts increasingly
more attention in the area of optical molecular imaging. In this paper, we analyze
the properties of the solutions to the regularized and discretized multispectral
BLT problems. First, we show the solution existence, uniqueness, and its
continuous dependence on the data. Then, we introduce stable numerical schemes and
derive error estimates for numerical solutions. We report some numerical results
to illustrate the performance of the numerical methods on the quality of multispectral
BLT reconstruction. |
| format | Article |
| id | doaj-art-c0543f821a8e4068923d424f3e449323 |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-c0543f821a8e4068923d424f3e4493232025-02-03T01:23:59ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962006-01-01200610.1155/IJBI/2006/5439054390Mathematical Study and Numerical Simulation of Multispectral Bioluminescence TomographyWeimin Han0Wenxiang Cong1Ge Wang2Department of Mathematics, University of Iowa, Iowa City, IA 52242, USADivision of Biomedical Imaging, VT-WFU School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USADivision of Biomedical Imaging, VT-WFU School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USAMultispectral bioluminescence tomography (BLT) attracts increasingly more attention in the area of optical molecular imaging. In this paper, we analyze the properties of the solutions to the regularized and discretized multispectral BLT problems. First, we show the solution existence, uniqueness, and its continuous dependence on the data. Then, we introduce stable numerical schemes and derive error estimates for numerical solutions. We report some numerical results to illustrate the performance of the numerical methods on the quality of multispectral BLT reconstruction.http://dx.doi.org/10.1155/IJBI/2006/54390 |
| spellingShingle | Weimin Han Wenxiang Cong Ge Wang Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography International Journal of Biomedical Imaging |
| title | Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography |
| title_full | Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography |
| title_fullStr | Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography |
| title_full_unstemmed | Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography |
| title_short | Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography |
| title_sort | mathematical study and numerical simulation of multispectral bioluminescence tomography |
| url | http://dx.doi.org/10.1155/IJBI/2006/54390 |
| work_keys_str_mv | AT weiminhan mathematicalstudyandnumericalsimulationofmultispectralbioluminescencetomography AT wenxiangcong mathematicalstudyandnumericalsimulationofmultispectralbioluminescencetomography AT gewang mathematicalstudyandnumericalsimulationofmultispectralbioluminescencetomography |