Title: The Inversion of Ray Transforms on a Conformal Class of Curves
Abstract:We introduce a technique for recovering a sufficiently smooth function from its ray transform over a wide class of curves in a general region of Euclidean space. The method is based on a complexificat...We introduce a technique for recovering a sufficiently smooth function from its ray transform over a wide class of curves in a general region of Euclidean space. The method is based on a complexification of the underlying vector fields defining the initial transport and recasting the problem in terms of complex-analytic function theory. Explicit inversion formulae are then given in a unified form. The method is then used to give inversion formulae for the attenuated ray transform.Read More
Publication Year: 2010
Publication Date: 2010-11-15
Language: en
Type: preprint
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Cited By Count: 2
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