TY - JOUR
T1 - Image reconstruction in quantitative photoacoustic tomography with the simplified p 2 approximation
AU - Frederick, Christina
AU - Ren, Kui
AU - Vallélian, Sarah
N1 - Funding Information:
∗Received by the editors June 20, 2018; accepted for publication (in revised form) October 16, 2018; published electronically December 18, 2018. http://www.siam.org/journals/siims/11-4/M119565.html Funding: This work was partially supported by the National Science Foundation through grants DMS-1321018, DMS-1620473, and DMS-1720306. The third author was partially supported by the Statistical and Applied Mathematical Sciences Institute (SAMSI). †Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, NJ 07102 (christin@njit.edu). ‡Department of Mathematics and Institute for Computational Engineering and Sciences, The University of Texas, Austin, TX 78712 (ren@math.utexas.edu). §Department of Mathematics, North Carolina State University, Raleigh, NC 27695 (scvallel@ncsu.edu).
Publisher Copyright:
© 2018 Society for Industrial and Applied Mathematics.
PY - 2018
Y1 - 2018
N2 - Photoacoustic tomography (PAT) is a hybrid imaging modality that intends to construct high-resolution images of optical properties of heterogeneous media from measured acoustic data generated by the photoacoustic effect. To date, most of the model-based quantitative image reconstructions in PAT are performed with either the radiative transport equation or its classical diffusion approximation as the model of light propagation. In this work, we study quantitative image reconstructions in PAT using the simplified P 2 equations as the light propagation model. We provide numerical evidences on the feasibility of this approach and derive some stability results as theoretical justifications.
AB - Photoacoustic tomography (PAT) is a hybrid imaging modality that intends to construct high-resolution images of optical properties of heterogeneous media from measured acoustic data generated by the photoacoustic effect. To date, most of the model-based quantitative image reconstructions in PAT are performed with either the radiative transport equation or its classical diffusion approximation as the model of light propagation. In this work, we study quantitative image reconstructions in PAT using the simplified P 2 equations as the light propagation model. We provide numerical evidences on the feasibility of this approach and derive some stability results as theoretical justifications.
KW - Diffusion approximation
KW - Hybrid imaging
KW - Hybrid inverse problems
KW - Image reconstruction
KW - Numerical optimization
KW - Photoacoustic tomography
KW - Radiative transport equation
KW - Simplified P approximation
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U2 - 10.1137/18M1195656
DO - 10.1137/18M1195656
M3 - Article
AN - SCOPUS:85064221689
SN - 1936-4954
VL - 11
SP - 2847
EP - 2876
JO - SIAM Journal on Imaging Sciences
JF - SIAM Journal on Imaging Sciences
IS - 4
ER -