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- W573903 abstract "The focus of this study is to determine what information can be obtained about a convex body in the plane given two point X-ray functions for the body; in particular, whether a convex body is uniquely determined by two such X-rays. We shall specifically investigate the case in which one X-ray is taken from a source exterior to the body and the other is taken from an interior source. We shall derive formulae for the tangent lines and curvature of the body's boundary at its x-intercepts, and we shall use the Stable Manifold Theorem to design an algorithm that attempts to construct bodies with identical X-ray functions at both sources. Finally, we shall consider the possibility of forming an analytic argument proving the existence of exactly two bodies whose X-rays at each of the two points are indeed equal." @default.
- W573903 created "2016-06-24" @default.
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- W573903 date "2007-01-01" @default.
- W573903 modified "2023-09-27" @default.
- W573903 title "POINT X-RAYS OF A CONVEX BODY FROM AN INTERIOR AND AN EXTERIOR SOURCE" @default.
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