Boundary conditions for diffusion of light

We consider the image reconstruction problem for optical tomography with diffuse light. The associated inverse scattering problem is analyzed by making use of particular symmetries of the scattering data. The effects of sampling and limited data are analyzed for several different experimental modalities, and computationally efficient reconstruction algorithms are obtained. These algorithms are suitable for the reconstruction of images from very large data sets. We consider the image recostruction problem for optical tomography with diffuse light. The associated inverse scattering problem is analyzed by making use of particular symmetries of the scattering data. The effects of sampling and limited data are analyzed for several different experimental modalities, and computationally efficient reconstruction algorithms are obtained. These algorithms are suitable for the reconstruction of images from very large data sets.

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“…where ᐉ is the extrapolation distance [16] and n is an outward unit normal to the surface, ‫ץ‬⍀, at the point r. …”

Section: ͑9͒mentioning

confidence: 99%

Symmetries, inversion formulas, and image reconstruction for optical tomography

2004

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“…(1) inside each layer, and then applying the boundary conditions at the surfaces of the medium (z = 0 and z = L) and at the interfaces between the turbid layers and the nonscattering wall. Boundary conditions at z = 0 and z = L are of a well-known form [60][61][62][63]:…”

Section: Theory Of Dws In a Double-layer Mediummentioning

confidence: 99%

“…In general, a rigorous theory would require using the extrapolation lengths z n calculated with account for the refractive index mismatch at the sample surfaces [60][61][62][63], or deduced from the angular distribution of diffusely transmitted light [64]. For our purposes, however, it is sufficient to know that z n ∼ ℓ * n , since the actual values of z n are of no importance in the limit of α n l * n ≪ 1 and l * n /L n ≪ 1 that we apply in the following.…”

Section: Theory Of Dws In a Double-layer Mediummentioning

confidence: 99%

Diffusing-wave spectroscopy of nonergodic media

et al. 2001

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We introduce an elegant method which allows the application of diffusing-wave spectroscopy (DWS) to nonergodic, solidlike samples. The method is based on the idea that light transmitted through a sandwich of two turbid cells can be considered ergodic even though only the second cell is ergodic. If absorption and/or leakage of light take place at the interface between the cells, we establish a so-called "multiplication rule", which relates the intensity autocorrelation function of light transmitted through the double-cell sandwich to the autocorrelation functions of individual cells by a simple multiplication. To test the proposed method, we perform a series of DWS experiments using colloidal gels as model nonergodic media. Our experimental data are consistent with the theoretical predictions, allowing quantitative characterization of nonergodic media and demonstrating the validity of the proposed technique.

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“…In terms of the boundary condition [9], reflectance profile is equal to intensity divided by the radiant flux.…”

Section: Reflectance Profilementioning

confidence: 99%

Optimization for Realistic Real-Time Rendering Method for Subsurface Scattering

Qiu¹,

Wang²,

Zhu³

2018

dtcse

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Monte Carlo photon tracking is used to render translucent materials such as marble, milk, skin, etc. The technique encompasses excessive amount of subsurface scattering that is computationally expensive. Faster approaches are based on approximate models derived from observed results. While such models are efficient, they tend to miss some translucency effects in the rendered results. We present an improved approximation model for real-time rendering of materials based upon computational graphs. Excellent results are obtained improving upon the previous studies.

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Boundary conditions for diffusion of light

Cited by 208 publications

References 11 publications

Symmetries, inversion formulas, and image reconstruction for optical tomography

Symmetries, inversion formulas, and image reconstruction for optical tomography

Diffusing-wave spectroscopy of nonergodic media

Optimization for Realistic Real-Time Rendering Method for Subsurface Scattering

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