Abstract
By now there doesn’t exist any exact algorithm for the thermoacoustic tomography (TAT) in the limited-view case. Here an approximate algorithm, called the deconvolution reconstruction (DR), is proposed for the limited-view TAT. In this algorithm, a new function is firstly constructed from detected thermoacoustic signals. Then the electromagnetic absorption distribution of the object is reconstructed from this function based on the deconvolution method. The discrete deconvolution is the key step of this algorithm and is solvable either in the full-view or in the limited-view. With simulation studies, this algorithm is proved to have a good imaging precision for small-scale objects even in the limited-view case. It is shown that detected signals over 90 degrees in the two-dimensional case are enough to reconstruct the image of the scanned object. Simulation results of the DR algorithm are also compared with those of two popular algorithms: the time-domain reconstruction (TDR) and the filtered back projection (FBP). It is also shown that results of the DR algorithm are much better than those of the TDR and the FBP for small-scale objects in the limited-view case. Therefore, the DR algorithm is an efficient one for the limited-view TAT of small-scale objects.
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