The paper presents an overview of theoretical aspects of ultrasound image reconstruction techniques
based on the circular Radon transform inversion. Their potential application in ultrasonography in a
similar way as it was successfully done in the x-ray computer tomography is demonstrated. The meth-
ods employing Radon transform were previously extensively explored in the synthetic aperture radars,
geophysics, and medical imaging using x-ray computer tomography. In this paper the main attention is
paid to the ultrasound imaging employing monostatic transmit-receive configuration. Specifically, a single
transmit and receive omnidirectional source placed at the same spatial location is used for generation of a
wide-band ultrasound pulse and detection of back-scattered waves. The paper presents derivation of the
closed-form solution of the CRT inversion algorithms by two different approaches: the range-migration
algorithm (RMA) and the deconvolution algorithm (DA). Experimentally determined data of ultrasound
phantom obtained using a 32-element 5 MHz linear transducer array with 0.48 mm element pitch and
0.36 mm element width and 5 mm height, excited by a 2 sine cycles burst pulse are used for comparison of
images reconstructed by the RMA, DA, and conventional synthetic aperture focusing technique (SAFT).
It is demonstrated that both the RMA and SAFT allow better lateral resolution and visualization depth
to be achieved as compared to the DA approach. Comparison of the results obtained by the RMA method
and the SAFT indicates slight improvement of the lateral resolution for the SAFT of approximately 1.5
and 1.6% at the depth of 12 and 32 mm, respectively. Concurrently, however, the visualization depth
increase for the RMA is shown in comparison with the SAFT. Specifically, the scattered echo amplitude
increase by the factor of 1.36 and 1.12 at the depth of 22 and 32 mm is demonstrated. It is also shown
that the RMA runs about 30% faster than the SAFT and about 12% faster than the DA method.
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