JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact firstname.lastname@example.org. Abstract. Standard,… (More)
We survey recent work on the attenuated x-ray transform, concentrating especially on the inversion formulas found in the last few years.
In this paper we present a method for deriving approximate inversion formulae for the divergent beam x-ray transform in three-space when the source set is a curve. When the source set is a planar convex curve, we obtain new approximate inversion formulae which are quasi-local. Finally we compare these methods with existing convolution-backprojec-tion… (More)