Fluorescence diffuse optical tomography with structural a priori information

2008 ◽  
Author(s):  
Yuting Lin ◽  
Orhan Nalcioglu ◽  
Gultekin Gulsen
Keyword(s):  
A Priori ◽  
Optical Tomography ◽  
Diffuse Optical Tomography ◽  
A Priori Information ◽  
Fluorescence Diffuse Optical Tomography ◽  
Priori Information

Fluorescence optical tomography with a priori information

2007 ◽  
Author(s):  
Murat Guven ◽  
Birsen Yazici ◽  
Vasilis Ntziachristos
Keyword(s):  
A Priori ◽  
Optical Tomography ◽  
A Priori Information ◽  
Priori Information

scholarly journals Regularization of the Factorization Method applied to diffuse optical tomography

2021 ◽  
Author(s):  
Isaac Harris
Keyword(s):  
A Priori ◽  
Optical Tomography ◽  
Diffuse Optical Tomography ◽  
Singular Values ◽  
Factorization Method ◽  
Complex Hilbert Space ◽  
Two Dimensions ◽  
Numerical Instabilities ◽  
Priori Information ◽  
Unknown Region

Abstract In this paper, we develop a new regularized version of the Factorization Method for positive operators mapping a complex Hilbert Space into it’s dual space. The Factorization Method uses Picard’s Criteria to define an indicator function to image an unknown region. In most applications the data operator is compact which gives that the singular values can tend to zero rapidly which can cause numerical instabilities. The regularization of the Factorization Method presented here seeks to avoid the numerical instabilities in applying Picard’s Criteria. This method allows one to image the interior structure of an object with little a priori information in a computationally simple and analytically rigorous way. Here we will focus on an application of this method to diffuse optical tomography where will prove that this method can be used to recover an unknown subregion from the Dirichlet-to-Neumann mapping. Numerical examples will be presented in two dimensions.

Structural a priori information in near-infrared optical tomography

2007 ◽  
Author(s):  
Hamid Dehghani ◽  
Colin M. Carpenter ◽  
Phaneendra K. Yalavarthy ◽  
Brian W. Pogue ◽  
Joseph P. Culver
Keyword(s):  
Near Infrared ◽  
A Priori ◽  
Optical Tomography ◽  
A Priori Information ◽  
Priori Information

scholarly journals Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Kiwoon Kwon
Keyword(s):  
Numerical Methods ◽  
Born Approximation ◽  
Near Infrared ◽  
A Priori ◽  
Optical Tomography ◽  
Infrared Light ◽  
Unique Determination ◽  
A Priori Information ◽  
Priori Information

Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself.

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