Reconstruction from Two Projections with Prohibited Subregion : Algorithm, Switching Graph and Consistency

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紀要論文

We consider the two projection tomography problem initiated by Lorentz, Gale and Ryser. Here we assume that a priori knowledge is available that presents a prohibited region for the original figure. We show that a modification of Ryser's reconstruction algorithm gives a solution. We then study the relation of the switching graph for the solution sets with and without the prohibited region. We apply our idea to get a better reconstruction figure imposing prohibited region artificially. Finally, we discuss the condition for a set to be prohibited region.

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