Article ID Journal Published Year Pages File Type
468110 Computers & Mathematics with Applications 2013 6 Pages PDF
Abstract

The paper presents an exact formula for a Fourier series reconstruction of a function from its V-line Radon transform in a disc. This transform (often also called broken-ray Radon transform) appears in mathematical models of several imaging modalities, e.g. single-scattering optical tomography and γγ-ray emission tomography. Our inversion formula relaxes the support restriction on the image function required in the previously discovered inversion technique (Ambartsoumian, 2012) [8], and uses data from only half of the set of broken rays required before. The general strategy of the current approach was outlined in (Ambartsoumian, 2012) [8].

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, ,