New properties of the V-line Radon transform and their imaging applications
Résumé
This paper reports on new aspects of the so-called V-line Radon transforms complementing
those reported in an earlier work. These new properties are nicely uncovered and described
with cartesian coordinates. In particular, we show that the V-line Radon transform belongs
to the class of Radon transforms on curves in the plane which can be mapped onto the
standard Radon transform on straight lines and thereby are fully characterizable and
invertible. Next, we show that the effect of geometric inversion on the V-line Radon transform is
to produce a new Radon transform on a pair of supplementary circular arcs, which provides a new access
to image reconstruction in the so-called Norton's modality of Compton scatter tomography,
a front runner in the race for alternatives to current emission imaging.
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TT- Further V-line Radon Transf Properties Corrected_310715.pdf (214.69 Ko)
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