Photoacoustic tomography with line detector: Exact inversion formula

Juyeon Kim, Sunghwan Moon, Yulia Hristova

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

As a novel and promising technology in medical imaging, Photoacoustic Tomography (PAT) is based on the generation of acoustic waves inside an object of interest by stimulating electromagnetic waves. This acoustic wave is measured outside the object and converted into a 3-dimensional image. Various shapes of detectors are suggested because of some limitations of the classic detector. Here we study PAT with a linear detector. We define some operator as the transform assigning to a given function f the integral of the solution of the wave equation over the detector line with the initial function f. We provide many properties of this wave operator including the inversion formulas and stability estimates under two different geometric settings.

Original languageEnglish
Article number125119
JournalJournal of Mathematical Analysis and Applications
Volume500
Issue number2
DOIs
StatePublished - 15 Aug 2021

Keywords

  • Fourier slice theorem
  • Photoacoustic
  • Reconstruction
  • Tomography
  • Wave equation

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