A Fourier-mode reconstruction algorithm recovers radiative sources in 2D transport media with non-small anisotropic scattering, validated on numerical simulations for optical molecular imaging parameters.
Inverse source problems in transport via attenuated tensor tomography
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abstract
We establish results for the injectivity and injectivity modulo gauge of certain inverse source problems in transport on a simply connected domain with variable index of refraction inducing a 'simple geometry'. The model given by radiative transfer involves a scattering kernel with finite harmonic content in the deviation angle. The results on injectivity are constructive, and they are connected to the explicit inversion (modulo kernel) of the attenuated X-ray transform on tensor fields on simple Riemannian surfaces.
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2019 1verdicts
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Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions
A Fourier-mode reconstruction algorithm recovers radiative sources in 2D transport media with non-small anisotropic scattering, validated on numerical simulations for optical molecular imaging parameters.