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Microlocal Properties of Dynamic Fourier Integral Operators

In: Time-dependent Problems in Imaging and Parameter Identification

Author

Listed:
  • Bernadette N. Hahn

    (University of Stuttgart, Department of Mathematics)

  • Melina-L. Kienle Garrido

    (University of Stuttgart, Department of Mathematics)

  • Eric Todd Quinto

    (Tufts University, Department of Mathematics)

Abstract

Following from the previous chapter Motion compensation strategies in tomography, this article provides a complementary study on the overall information content in dynamic tomographic data using the framework of microlocal analysis and Fourier integral operators. Based on this study, we further analyze which characteristic features of the studied specimen can be reliably reconstructed from dynamic tomographic data and which additional artifacts have to be expected in a dynamic image reconstruction. Our theoretical results, in particular the affect of the dynamic behavior on the measured data and the reconstruction result, is then illustrated in detail at various numerical examples from dynamic photoacoustic tomography.

Suggested Citation

  • Bernadette N. Hahn & Melina-L. Kienle Garrido & Eric Todd Quinto, 2021. "Microlocal Properties of Dynamic Fourier Integral Operators," Springer Books, in: Barbara Kaltenbacher & Thomas Schuster & Anne Wald (ed.), Time-dependent Problems in Imaging and Parameter Identification, pages 85-120, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57784-1_4
    DOI: 10.1007/978-3-030-57784-1_4
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