Image reconstruction in quantitative photoacoustic tomography with the simplified p 2 approximation

Christina Frederick, Kui Ren, Sarah Vallélian

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2847-2876
Number of pages30
JournalSIAM Journal on Imaging Sciences
Volume11
Issue number4
DOIs
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Diffusion approximation
  • Hybrid imaging
  • Hybrid inverse problems
  • Image reconstruction
  • Numerical optimization
  • Photoacoustic tomography
  • Radiative transport equation
  • Simplified P approximation

Fingerprint Dive into the research topics of 'Image reconstruction in quantitative photoacoustic tomography with the simplified p <sub>2</sub> approximation'. Together they form a unique fingerprint.

Cite this