Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468110 | Computers & Mathematics with Applications | 2013 | 6 Pages |
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
Gaik Ambartsoumian, Sunghwan Moon,