Characterizing inclusions in optical tomography

  title={Characterizing inclusions in optical tomography},
  author={Nuutti Hyv{\"o}nen},
  journal={Inverse Problems},
  • N. Hyvönen
  • Published 19 March 2004
  • Mathematics
  • Inverse Problems
In optical tomography, one tries to determine the spatial absorption and scattering distributions inside a body by using measured pairs of inward and outward fluxes of near-infrared light on the object boundary. In many practically important situations, the scatter and the absorption inside the object are smooth apart from inclusions where at least one of the two optical parameters jumps to a higher or lower value. In this work, we investigate the possibility of characterizing these… 
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In this paper we present a model for anisotropic light propagation and reconstructions of optical absorption coefficient in the presence of anisotropies. To model the anisotropies, we derive the
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Existence and regularity of solutions to the Dirichlet problem and the weak and strong maximum principles are studied.
The Boundary Value Problems of Mathematical Physics
I Preliminary Considerations.- II Equations of Elliptic Type.- III Equations of Parabolic Type.- IV Equations of Hyperbolic Type.- V Some Generalizations.- VI The Method of Finite Differences.
Partial Differential Equations I (New York: Springer
  • 1996
  • N. Hyvönen
  • Mathematics, Physics
    Proceedings of the Edinburgh Mathematical Society
  • 2002
Abstract This paper provides mathematical analysis of optical tomography in a situation when the examined object, for example the human brain, is strongly scattering with non-scattering inclusions.
Mathematical Analysis and Numerical Methods for Science and Technology
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