Quantitative thermo-acoustic imaging: An exact reconstruction formula

Details Quantitative thermo-acoustic imaging: An exact reconstruction formula Quantitative thermo-acoustic imaging: An exact reconstruction formula

2012-01-03

arxiv.org/abs/1201.0619v1

Mathematics

Analysis of PDEs

Scientific paper

The quantitative thermo-acoustic imaging is considered in this paper. Given several data sets of electromagnetic data, we first establish an exact formula for the absorption coefficient, which involves derivatives of the given data up to the third order. However, because of the dependence of such derivatives, this formula is unstable in the sense that small measurement noises may cause large errors. Hence, with the presence of noise, the obtained formula, together with noise regularization, provides an initial guess for the true absorption coefficient. We next correct the errors by deriving a reconstruction formula based on the least square solution of an optimal control problem and show that this optimization step reduces the errors occurring.

Affiliated with

Also associated with

No associations

Rating

Quantitative thermo-acoustic imaging: An exact reconstruction formula does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantitative thermo-acoustic imaging: An exact reconstruction formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantitative thermo-acoustic imaging: An exact reconstruction formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183745