An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium
Yükleniyor...
Dosyalar
Tarih
2019-02-20
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multi-layer planar medium and defined initial conditions, continuity conditions on the layer boundaries and radiation conditions at infinity assuming the source distribution existing in all layers. These solutions of thermoacoustic wave equation are based on the method of Green’s functions for layered planar media. For qualitative testing and comparison of the point-spread functions associated with the homogeneous and layered solutions, we performed numerical simulations. Our simulation results showed that the conventional inverse solution based on homogeneous medium assumption, as expected, produced incorrect locations of point sources, whereas our inverse solution involving the multi-layer planar medium produced point sources at the correct source locations. Also, we examined whether the performance of our layered inverse solution is sensitive to medium parameters used as priority information in the measured data. Our inverse solutions based on multi-layer planar media are applicable for cross-sectional two-dimensional imaging of abdominal structure and the organs such as breast and skin.
Açıklama
Anahtar Kelimeler
Green’s functions, Inverse source problem, Thermoacoustic imaging, Tomography, Computerized tomography, Medical imaging, Optical transfer function, Thermoacoustics, Wave equations, Continuity conditions, Nonhomogeneous medium, S function, Source distribution, Thermo-acoustic waves, Two-dimensional imaging, Inverse problems
Kaynak
Journal of Mathematical Imaging and Vision
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
61
Sayı
6
Künye
Ünalmış Uzun, B. & Yücel, H. (2019). An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium. Journal of Mathematical Imaging and Vision, 61(6), 874-884. doi:10.1007/s10851-019-00875-2
