Improved cone beam local tomography
Abbreviated Journal Title
X-RAY TRANSFORM; RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical
In this paper, we study cone beam local tomography (LT). A new LT function g is proposed. It is shown that g contains non-local artefacts, but their strength is an order of magnitude smaller than those of the previously known LT function g(Lambda) of Louis A K and Maass P (1993 IEEE Trans. Med. Imaging 12 764-69). We also investigate LT reconstruction in the dynamic case, i.e. when the object f being scanned is undergoing some changes during the scan. Properties of g are studied, the notion of visible singularities is suitably generalized, and a relationship between the wave fronts of f and g is established. It is shown that the changes in f do not cause any smearing of the singularities of g. Numerical implementation of the new LT function is discussed, and results of numerical experiments are presented.
"Improved cone beam local tomography" (2006). Faculty Bibliography 2000s. 6278.