Decay behavior and optical parameter identification for spatial-frequency domain imaging by the radiative transport equation.

@article{Machida2020DecayBA,
  title={Decay behavior and optical parameter identification for spatial-frequency domain imaging by the radiative transport equation.},
  author={Manabu Machida and Yoko Hoshi and Keiichiro Kagawa and Kazuki Takada},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2020},
  volume={37 12},
  pages={
          2020-2031
        }
}
  • M. Machida, Y. Hoshi, +1 author Kazuki Takada
  • Published 2020
  • Physics, Medicine
  • Journal of the Optical Society of America. A, Optics, image science, and vision
The decay behavior of specific intensity is studied for spatial-frequency domain imaging (SFDI). It is shown using the radiative transport equation that the decay is given by a superposition of different decay modes, and the decay rates of these modes are determined by spatial frequencies and Case's eigenvalues. This explains why SFDI can focus on shallow regions. The fact that light with nonzero spatial frequency rapidly decays makes it possible to exclusively extract optical properties of the… Expand
1 Citations

Figures from this paper

Quantum-Optimal Binary Object Classification in Sub-Diffraction Incoherent Imaging
We derive the quantum limit on average error for hypothesis tests between any two incoherent, diffraction-limited objects and identify quantum-optimal measurements that achieve a quadratic scalingExpand

References

SHOWING 1-10 OF 40 REFERENCES
Spatial frequency domain imaging using an analytical model for separation of surface and volume scattering
TLDR
The use of a modified analytical solution of the radiative transfer equation allows calculation of the reflectance and the phase of a rough semi-infinite geometry so that both spatial frequency domain reflectsance and phase can be applied for precise retrieval of the bulk optical properties and the surface scattering. Expand
The Green's function for the radiative transport equation in the slab geometry
The radiative transport equation is solved in the three-dimensional slab geometry by means of the method of rotated reference frames. In this spectral method, the solution is expressed in terms ofExpand
Exact and efficient solution of the radiative transport equation for the semi-infinite medium
TLDR
An accurate and efficient solution of the radiative transport equation is proposed for modeling the propagation of photons in the three-dimensional anisotropically scattering half-space medium with excellent agreement with Monte Carlo simulations. Expand
Numerical algorithms of the radiative transport equation using rotated reference frames for optical tomography with structured illumination
  • M. Machida
  • Physics
  • Journal of Quantitative Spectroscopy and Radiative Transfer
  • 2019
Abstract We consider optical tomography with structured illumination in spatial-frequency domain using the three-dimensional radiative transport equation. Without the diffusion approximation, theExpand
Spatially modulated light source obliquely incident on a semi-infinite scattering medium.
The three-dimensional radiative transfer equation is solved in the spatial frequency domain for modeling the light propagation due to a spatially modulated light source obliquely incident on aExpand
Modified spherical harmonics method for solving the radiative transport equation
A new effective approach to solving the three-dimensional radiative transport equation with an arbitrary phase function is proposed. The solution depends on eigenvectors and eigenvalues of severalExpand
Boundary conditions for diffusion of light.
  • R. Aronson
  • Physics, Medicine
  • Journal of the Optical Society of America. A, Optics, image science, and vision
  • 1995
TLDR
A straightforward generalization of the proper diffusion boundary conditions is presented that takes into account Fresnel reflection and a generalized interface condition is derived to replace the usual condition of continuity of intensity. Expand
Advanced demodulation technique for the extraction of tissue optical properties and structural orientation contrast in the spatial frequency domain
TLDR
The results suggest that, using the Hilbert demodulation technique, SFDI data acquisition speed can be increased significantly while preserving data quality, which will help to move forward toward the implementation of a real-time SFDI platform. Expand
Radiative transport equation in rotated reference frames
A novel method for solving the linear radiative transport equation (RTE) in a three-dimensional homogeneous medium is proposed and illustrated with numerical examples. The method can be used with anExpand
Quantitation and mapping of tissue optical properties using modulated imaging.
TLDR
The development of a rapid, noncontact imaging method, modulated imaging (MI), for quantitative, wide-field characterization of optical absorption and scattering properties of turbid media is described and metrics of spatial resolution are assessed through both simulations and measurements of spatially heterogeneous phantoms. Expand
...
1
2
3
4
...