13 citations · 25 across the 8 of their papers we have counts for
8 papers
Inversion of the Momenta Doppler Transform in two dimensions
Hiroshi Fujiwara, David Omogbhe, Kamran Sadiq +1
We introduce an analytic method which stably reconstructs both components of a (sufficiently) smooth, real valued, vector field compactly supported in the plane from knowledge of i…
Numerical reconstruction of radiative sources from partial boundary measurements
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We consider an inverse source problem in the stationary radiative transport through an absorbing and scattering medium in two dimensions. Using the angularly resolved radiation mea…
A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We consider an inverse source problem in the stationary radiating transport through a two dimensional absorbing and scattering medium. Of specific interest, the exiting radiation i…
Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We consider the two dimensional quantitative imaging problem of recovering a radiative source inside an absorbing and scattering medium from knowledge of the outgoing radiation mea…
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We revisit the inverse source problem in a two dimensional absorbing and scattering medium and present a non-iterative reconstruction method using measurements of the radiating flu…
Partial inversion of the 2D attenuated -ray transform with data on an arc
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
In two dimensions, we consider the problem of inversion of the attenuated -ray transform of a compactly supported function from data restricted to lines leaning on a given arc.…
An Accurate Quadrature Rule on the Sphere for Fast Computation of the Radiative Transport Equation
Hiroshi Fujiwara
We present an accurate quadrature formula on the sphere with less localized quadrature points for efficient numerical computation of the radiative transport equation (RTE) in the t…
Stability and Convergence of an Upwind Finite Difference Scheme for the Radiative Transport Equation
Nobuyuki Higashimori, Hiroshi Fujiwara
An explicit numerical scheme is proposed for solving the initial-boundary value problem for the radiative transport equation in a rectangular domain with completely absorbing bound…