Literature DB >> 12747436

Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition.

Vadim A Markel1, Vivek Mital, John C Schotland.   

Abstract

We continue our study of the inverse scattering problem for diffuse light. In particular, we derive inversion formulas for this problem that are based on the functional singular-value decomposition of the linearized forward-scattering operator in the slab, cylindrical, and spherical geometries. Computer simulations are used to illustrate our results in model systems.

Mesh：

Year:  2003        PMID： 12747436     DOI： 10.1364/josaa.20.000890

Source DB:  PubMed          Journal:  J Opt Soc Am A Opt Image Sci Vis        ISSN： 1084-7529            Impact factor:   2.129


  8 in total

1.  Imaging complex structures with diffuse light.

Authors:  Soren D Konecky; George Y Panasyuk; Kijoon Lee; Vadim Markel; Arjun G Yodh; John C Schotland
Journal:  Opt Express       Date:  2008-03-31       Impact factor: 3.894

2.  Diffuse Optics for Tissue Monitoring and Tomography.

Authors:  T Durduran; R Choe; W B Baker; A G Yodh
Journal:  Rep Prog Phys       Date:  2010-07

3.  Improving mesoscopic fluorescence molecular tomography via preconditioning and regularization.

Authors:  Fugang Yang; Ruoyang Yao; Mehmet Ozturk; Denzel Faulkner; Qinglan Qu; Xavier Intes
Journal:  Biomed Opt Express       Date:  2018-05-23       Impact factor: 3.732

4.  Diffuse optical tomography in the presence of a chest wall.

Authors:  Han Y Ban; David R Busch; Saurav Pathak; Frank A Moscatelli; Manabu Machida; John C Schotland; Vadim A Markel; Arjun G Yodh
Journal:  J Biomed Opt       Date:  2013-02       Impact factor: 3.170

5.  Quantitative optical tomography of sub-surface heterogeneities using spatially modulated structured light.

Authors:  Soren D Konecky; Amaan Mazhar; David Cuccia; Anthony J Durkin; John C Schotland; Bruce J Tromberg
Journal:  Opt Express       Date:  2009-08-17       Impact factor: 3.894

6.  Method for estimating closed-form solutions of the light diffusion equation for turbid media of any boundary shape.

Authors:  Umar Alqasemi; Hassan S Salehi; Quing Zhu
Journal:  J Opt Soc Am A Opt Image Sci Vis       Date:  2016-02-01       Impact factor: 2.129

7.  Fast 3D optical reconstruction in turbid media using spatially modulated light.

Authors:  Cosimo D'Andrea; Nicolas Ducros; Andrea Bassi; Simon Arridge; Gianluca Valentini
Journal:  Biomed Opt Express       Date:  2010-08-03       Impact factor: 3.732

8.  L1-norm based nonlinear reconstruction improves quantitative accuracy of spectral diffuse optical tomography.

Authors:  Wenqi Lu; Daniel Lighter; Iain B Styles
Journal:  Biomed Opt Express       Date:  2018-03-02       Impact factor: 3.732
  8 in total

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