Accurate and efficient Monte Carlo solutions to the radiative transport equation in the spatial frequency domain

Gardner, Adam; Venugopalan, Vasan

doi:10.1364/ol.36.002269

Cited by 30 publications

(20 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of SFDI systems, i.e. Fourier patterns, Gardner et al derived a complex photon weight from the SFD radiative transfer equation (RTE) to incorporate the effects of spatial modulation on a photon's initial weight [13], allowing solutions for multiple spatial frequencies to be estimated in a single MC simulation. However, this approach cannot be used with other encodings, such as Hadamard, Haar or speckle patterns [11].…”

Section: Introductionmentioning

confidence: 99%

Accelerating Monte Carlo modeling of structured-light based diffuse optical imaging via “photon sharing”

Yan

Yao

Intes

et al. 2020

Preprint

View full text Add to dashboard Cite

The increasing use of spatially-modulated imaging and single-pixel detection techniques demands computationally efficient methods for light transport modeling. Herein, we report an easy-to-implement yet significantly more efficient Monte Carlo (MC) method for simultaneously simulating spatially modulated illumination and detection patterns accurately in 3-D complex domains. We have implemented this accelerated algorithm, named “photon sharing”, in our open-source MC simulators, reporting 13.6× and 5.5× speedups in mesh- and voxel-based MC benchmarks, respectively. In addition, the proposed algorithm is readily used for accelerating the solving of inverse problems in spatially-modulated imaging systems by building Jaco-bians of all illumination-detection pattern pairs concurrently, resulting in a 12.4-fold speed improvement.https://doi.org/10.1101/2020.02.16.951590

show abstract

Section: Introductionmentioning

confidence: 99%

Accelerating Monte Carlo modeling of structured-light based diffuse optical imaging via “photon sharing”

Yan

Yao

Intes

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Many of these techniques require or would benefit from accurate models of light transport near the point of entry. Computational models of light transport including Monte Carlo simulations (10,11) and numerical implementations of the Radiative Transport Equation (12)(13)(14)(15) are typically too computationally burdensome to be used for applications where rapid analysis is important. Analytical solutions have primarily been restricted to diffusion-theory approximations (16,17) or slightly higher order corrections (18)(19)(20), which are inaccurate near the point of entry and when absorption is high or comparable to scattering coefficients.…”

Section: Introductionmentioning

confidence: 99%

Phase-function corrected diffusion model for diffuse reflectance of a pencil beam obliquely incident on a semi-infinite turbid medium

Zemp

2013

SPIE Proceedings

View full text Add to dashboard Cite

Oblique incidence reflectometry (OIR) is an established technique for estimation of tissue optical properties, however, a sensing footprint of a few transport mean-free paths is often needed when diffusion-regime-based algorithms are used. Smaller-footprint probes require improved light-propagation models and inversion schemes for diffuse reflectance close to the point-of-entry but might enable micro-endoscopic form factors for clinical assessments of cancers and pre-cancers. In this paper we extend the phase-function corrected diffusion-theory presented by Vitkin et al. (Nat. Comm 2011) to the case of pencil beams obliquely incident on a semi-infinite turbid medium. The model requires minimal computational resources and offers improved accuracy over more traditional diffusion-theory approximations models when validated against Monte Carlo simulations. The computationally efficient nature of the models may lend themselves to rapid fitting procedures for inverse problems.

show abstract

“…[1][2][3][4][5][6][7][8][9][10][11][12] Many of these techniques require or would benefit from accurate models of light transport near the point of entry. Computational models of light transport including Monte Carlo simulations [13][14][15][16] and numerical implementations of the radiative transport equation [17][18][19][20] are typically too computationally burdensome to be used for applications where rapid analysis is important. Analytical solutions have primarily been restricted to diffusion-theory approximations 21,22 or slightly higher order corrections, [23][24][25][26][27] which are inaccurate near the point-of-entry and when absorption is high or comparable with scattering coefficients.…”

Section: Introductionmentioning

confidence: 99%

Phase-function corrected diffusion model for diffuse reflectance of a pencil beam obliquely incident on a semi-infinite turbid medium

Zemp

2013

J. Biomed. Opt

View full text Add to dashboard Cite

Abstract. Oblique incidence reflectometry (OIR) is an established technique for the estimation of tissue optical properties. However, a sensing footprint of a few transport mean-free paths is often needed when diffusionregime-based algorithms are used. Smaller-footprint probes require improved light-propagation models and inversion schemes for diffuse reflectance close to the point of entry but might enable micro-endoscopic form factors for clinical assessments of cancers and precancers. The phase-function corrected diffusion theory presented by Vitkin et al. [Nat. Commun. 2, 587 (2011)] to the case of pencil beams obliquely incident on a semi-infinite turbid medium is extended. The model requires minimal computational resources and offers improved accuracy over more traditional diffusion-theory approximations models when validated against Monte Carlo simulations. The computationally efficient nature of the models lends itself to rapid fitting procedures for inverse problems. The analytical model is used in a nonlinear fitting algorithm to demonstrate the recovery of optical properties using a measurement footprint that is significantly smaller than needed in previous diffusion-regime OIR methods. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

show abstract

Accurate and efficient Monte Carlo solutions to the radiative transport equation in the spatial frequency domain

Cited by 30 publications

References 9 publications

Accelerating Monte Carlo modeling of structured-light based diffuse optical imaging via “photon sharing”

Accelerating Monte Carlo modeling of structured-light based diffuse optical imaging via “photon sharing”

Phase-function corrected diffusion model for diffuse reflectance of a pencil beam obliquely incident on a semi-infinite turbid medium

Phase-function corrected diffusion model for diffuse reflectance of a pencil beam obliquely incident on a semi-infinite turbid medium

Contact Info

Product

Resources

About