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Published April 2004 | Published
Journal Article Open

Reconstructions in limited-view thermoacoustic tomography


The limited-view problem is studied for thermoacoustic tomography, which is also referred to as photoacoustic or optoacoustic tomography depending on the type of radiation for the induction of acoustic waves. We define a "detection region," within which all points have sufficient detection views. It is explained analytically and shown numerically that the boundaries of any objects inside this region can be recovered stably. Otherwise some sharp details become blurred. One can identify in advance the parts of the boundaries that will be affected if the detection view is insufficient. If the detector scans along a circle in a two-dimensional case, acquiring a sufficient view might require covering more than a π-, or less than a π-arc of the trajectory depending on the position of the object. Similar results hold in a three-dimensional case. In order to support our theoretical conclusions, three types of reconstruction methods are utilized: a filtered backprojection (FBP) approximate inversion, which is shown to work well for limited-view data, a local-tomography-type reconstruction that emphasizes sharp details (e.g., the boundaries of inclusions), and an iterative algebraic truncated conjugate gradient algorithm used in conjunction with FBP. Computations are conducted for both numerically simulated and experimental data. The reconstructions confirm our theoretical predictions.

Additional Information

© 2004 Am. Assoc. Phys. Med. Received 4 September 2003; revised 5 December 2003; accepted for publication 9 December 2003; published 11 March 2004. The work of the first two authors was sponsored in part by the U.S. Army Medical Research and Material Command Grant No. DAMD17-00-1-0455, the National Institutes of Health Grant No. R01 EB000712, and the Texas Higher Education Coordinating Board Grant No. ARP 000512-0063-2001. The work of the last two authors was sponsored in part by the NSF Grants No. DMS-9971674 and No. DMS-0296150.

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