Superresolution in Diffuse Optical Tomography

Kalintsev, A. G.; Kalintseva, N. A.; Kravtsenyuk, Olga V.; Lyubimov, V. V.

doi:10.1134/1.1999909

Cited by 4 publications

(2 citation statements)

References 3 publications

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“…This is because we reconstruct the optical inhomogeneity function averaged over the spatial distribution of the photons that contribute to the measured optical signal. This blur can be compensated by applying space-varying restoration [16], [17] or the inverse filtration of optical projection [18].…”

Section: Simulation Resultsmentioning

confidence: 99%

Diffuse optical mammotomography based on backprojection algorithm with Vainberg-Butterworth filtration

Konovalov

Uglov

Lyubimov

2010

2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP)

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The paper considers a layer-to-Iayer 3D reconstruction method for diffuse optical mammotomography which uses conic geometry for time-domain measurements. The method is based on an approximate 2D reconstruction of transverse layers of a conic scattering object by inverting an integral equation with integration along a photon average trajectory. The equation is inverted using a backprojection algorithm with an original filtration of optical projections by the Vainberg-Butterworth method. A numerical experiment shows that our method reconstructs the 3D distributions of absorbing inhomogeneities embedded in a conic object much faster than the multistep Newton-like algorithms, and reconstruction accuracy remains acceptable, at least when inhomogeneities are not in the immediate vicinity of object boundaries.

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Section: Simulation Resultsmentioning

confidence: 99%

Diffuse optical mammotomography based on backprojection algorithm with Vainberg-Butterworth filtration

Konovalov

Uglov

Lyubimov

2010

2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP)

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show abstract

“…the problem of radiation propagation through tissue is solved numerically many times and at each step of linearization it is necessary to adjust the matrix of the system of algebraic equations that describe the discrete reconstruction model. As shown in our earlier papers (Kalintsev et al, 2005;Konovalov et al, 2003;2006b;2007a;2007b;Lyubimov et al, 2002;, there exists a unique opportunity to make the reconstruction procedure much faster by changing over in equation (1) from volume integration to integration along an effective trajectory from source to receiver. The photon average trajectory method (PAT method) we have developed finds such a trajectory using a probabilistic interpretation of light energy transfer by photons from source to receiver.…”

Section: Introductionmentioning

confidence: 99%