Analytic Inversion of a Radon Transform on Double Circular Arcs With Applications in Compton Scattering Tomography

While the classical Radon transform defined on straight rays models the imaging systems (X-ray scanner, SPECT) which need a relative rotation between the object and the detector

In this section, we present the numerical simulations of both circular Radon transforms (CART-CHD and CRT-CHD) and compare the reconstructions obtained by the ordinary Radon

To obtain the analytic inversion formula, we show that the relation between the one-variable Fourier transforms of the function and of its V-line Radon transform is, after

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

• 4 - Recently while searching for a new modality for Compton Scatter Tomography, we have found that the class of arcs of circle subtended by a chord of fixed length and rotating

The amount of scattered gamma radiation detected is thus given by the V ∗ -line Radon transform of f (x, y ), over an integration measure m σ (r ), which accounts for

In this paper, the aim is to develop efficient computa- tion image reconstruction algorithms for the CRT, which positively illustrate these recent analytic results and possibly

We show how the scanning on a pair of supplementary circular arcs is beneficial for imaging an object via conversion into a transmission scanning problem on a V -line.. We