29 citations · 135 across the 36 of their papers we have counts for
36 papers
Homogenization and Inverse Problems for Fractional Diffusion Equations
Atsushi Kawamoto, Manabu Machida, Masahiro Yamamoto
We consider the homogenization for time-fractional diffusion equations in a periodic structure and we derive the homogenized time-fractional diffusion equation. Then we discuss the…
Coarse-graining of the perplexity for the spatial distribution of molecules
Lili Xu, Chi Zhang, Soho Oyama +3
Biological tissue consists of various molecules. Instead of focusing on a particular molecule, we consider the Shannon entropy which is calculated from the abundance of different m…
The depth of the banana and the impulse stripe illumination for diffuse optical tomography
Manabu Machida, Keita Osada, Keiichiro Kagawa
The stripe illumination lies between the illumination in the spatial-frequency domain and the point illumination. Although the stripe illumination has a periodic structure as the i…
Analytical discrete ordinates for the three-dimensional radiative radiative equation in the half space
Manabu Machida
In one-dimensional transport theory, the method of analytical discrete ordinates (ADO) is known to be a concise and fast numerical scheme to solve the radiative transport equation.…
The inverse Rytov series for diffuse optical tomography
Manabu Machida
The Rytov approximation is known in near-infrared spectroscopy including diffuse optical tomography. In diffuse optical tomography, the Rytov approximation often gives better recon…
Shape-constrained reconstruction in diffuse optical tomography by simulated annealing
Tetsuya Mimura, Yu Jiang, Norikazu Todoroki +1
When the inverse problem of diffuse optical tomography (DOT) is solved with the Born or Rytov approximation, the size of the matrix of the linear inverse problem becomes large if t…