Joint image reconstruction of initial pressure distribution and acoustic parameters in elastic media with application to transcranial photoacoustic tomography (Conference Presentation)

Author(s):  
Joemini Poudel ◽  
Thomas P. Matthews ◽  
Mark A. Anastasio
Author(s):  
Mark A. Anastasio ◽  
Jin Zhang ◽  
Xiaochuan Pan ◽  
Lihong V. Wang

2018 ◽  
Vol 4 (12) ◽  
pp. 148 ◽  
Author(s):  
Niko Hänninen ◽  
Aki Pulkkinen ◽  
Tanja Tarvainen

Quantitative photoacoustic tomography is a novel imaging method which aims to reconstruct optical parameters of an imaged target based on initial pressure distribution, which can be obtained from ultrasound measurements. In this paper, a method for reconstructing the optical parameters in a Bayesian framework is presented. In addition, evaluating the credibility of the estimates is studied. Furthermore, a Bayesian approximation error method is utilized to compensate the modeling errors caused by coarse discretization of the forward model. The reconstruction method and the reliability of the credibility estimates are investigated with two-dimensional numerical simulations. The results suggest that the Bayesian approach can be used to obtain accurate estimates of the optical parameters and the credibility estimates of these parameters. Furthermore, the Bayesian approximation error method can be used to compensate for the modeling errors caused by a coarse discretization, which can be used to reduce the computational costs of the reconstruction procedure. In addition, taking the modeling errors into account can increase the reliability of the credibility estimates.


2013 ◽  
Vol 32 (12) ◽  
pp. 2287-2298 ◽  
Author(s):  
Tanja Tarvainen ◽  
Aki Pulkkinen ◽  
Ben T. Cox ◽  
Jari P. Kaipio ◽  
Simon R. Arridge

1986 ◽  
Vol 53 (3) ◽  
pp. 565-572 ◽  
Author(s):  
A. Azarkhin ◽  
J. R. Barber

We study the time dependent problem of a nonconducting half-plane sliding on the surface of a conductor with heat generation at the interface due to friction. The conducting half-plane is slightly rounded to give a Hertzian initial pressure distribution. Relationships are established for temperature and thermoelastic displacements due to a heat input of cosine type through the surface, and then these are used to obtain the solution in the form of a double Fourier integral. Numerical results show that, if the ratio of the initial size of the area of contact to that in the steady state is less than some critical value, the area of contact and the pressure distribution change smoothly toward the steady state solution. Otherwise the area of contact goes through bifurcation. The bifurcation accelerates the process. Numerical results are compared with previous approximate solutions.


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