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Truncated SVD for A...
Truncated SVD for Applications in Microwave Thermometry
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Lindström, Eric, 1997 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, Tillämpad matematik och statistik,Department of Mathematical Sciences, Applied Mathematics and Statistics
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Frischauf, L. (författare)
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- McKelvey, Daniel, 1996 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: Springer Proceedings in Mathematics and Statistics. - 2194-1017 .- 2194-1009. - 9783031358708 ; 429, s. 143-165
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Microwave hyperthermia is a technique used to improve the therapeutic results of traditional cancer therapies. It consists of increasing the tumor temperature to the level of 40–44 ∘ C while keeping the surrounding healthy tissue at normal temperatures. It is hence fundamental to have a real-time temperature monitoring in order to adjust the focal point in the target. Mathematically, the problem of reconstructing the temperature change depending on measurements of scattered electric waves propagating in the material involves solving a volume integral equation. In order to solve it we construct a Tikhonov’s regularization functional and find optimal point of it. The paper analyzes performance of truncated singular value decomposition for 3D reconstruction of target during the process of microwave thermometry.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Atom- och molekylfysik och optik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Atom and Molecular Physics and Optics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Hyperthermia
- Microwave imaging
- Inverse scattering
- Ill-posed problem
- TSVD
- Electromagnetic volume integral equation
- Tikhonov functional
- Electromagnetic volume integral equation
- Hyperthermia
- Ill-posed problem
- Inverse scattering
- Microwave imaging
- Tikhonov functional
- TSVD
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)
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