THE DIFFUSIVE ULTRASOUND MODULATED BIOLUMINESCENCE TOMOGRAPHY WITH PARTIAL DATA AND UNCERTAIN OPTICAL PARAMETERS
The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse problem with internal data, and derive a reconstruction pro...
| Veröffentlicht in: | SIAM journal on applied mathematics. - 1979. - 84(2024), 6 vom: 23., Seite 2393-2416 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
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2024
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| Zugriff auf das übergeordnete Werk: | SIAM journal on applied mathematics |
| Schlagworte: | Journal Article 35R30 Partial Data Ultrasound Modulated Bioluminescence Tomography Uncertainty Quantification |
| Zusammenfassung: | The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse problem with internal data, and derive a reconstruction procedure to recover the bioluminescent source. Subsequently, an uncertainty quantification estimate is established to assess the robustness of the reconstruction. To facilitate practical implementation, we discretize the diffusive model using the staggered grid scheme, resulting in a discrete formulation of the UMBLT inverse problem. A discrete reconstruction procedure is then presented along with a discrete uncertainty quantification estimate. Finally, the reconstruction procedure is quantitatively validated through numerical examples to demonstrate the efficacy and reliability of the proposed approach and estimates |
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| Beschreibung: | Date Completed 17.09.2025 Date Revised 19.09.2025 published: Print Citation Status PubMed-not-MEDLINE |
| ISSN: | 0036-1399 |
| DOI: | 10.1137/24m1657791 |