On uniqueness in diffuse optical tomography

Bastian Harrach
2009 Inverse Problems  
A prominent result of Arridge and Lionheart (1998 Opt. Lett. 23 882-4) demonstrates that it is in general not possible to simultaneously recover both the diffusion (aka scattering) and the absorption coefficient in steady-state (dc) diffusion-based optical tomography. In this work we show that it suffices to restrict ourselves to piecewise constant diffusion and piecewise analytic absorption coefficients to regain uniqueness. Under this condition both parameters can simultaneously be determined
more » ... ously be determined from complete measurement data on an arbitrarily small part of the boundary.
doi:10.1088/0266-5611/25/5/055010 fatcat:cniikzsvhvcw7kb2qf6nd4i654