Although ultrasonic transmission computed tomography has been extensively discussed in the literature, only parallel-beam geometry has been considered. With this geometry, reconstruction accuracy is limited by the tradeoff between refraction loss and phase, cancellation. The new topic of this paper is tomographic imaging with fan-beam geometry. By adopting fan-beam geometry, we can expect not only reduction of measurement time but also (1) no refraction loss, (2) reduction of phase cancellation, and (3) ease of designing the ultrasonic transducers.
In this paper, the reconstruction quality is discussed under an approximation of geometrical optics. Projection formation was simulated by a digital computer and tomographic images were reconstructed from the simulated projections. Only objects with faster acoustic velocity than the surrounding medium were considered. For these objects, the acoustic beam diverges and the projections broaden. This causes enlargement of area of the reconstructed objects. Acoustic velocity images have their edges blurred, while attenuation images have relatively clear edges. Compensation of refraction is possible for attenuation images by an algebraic reconstruction technique by referring to a reconstructed velocity image. It was also found that reflection loss appears as large values of the attenuation coefficient if there is a large difference of acoustic impedance between the object and the surrounding medium. medium.
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