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摘要
In this paper we study a minimization problem which appears in tomographic reconstruction. The problem is known to be ill posed. The object to reconstruct is assumed to be binary so that the intensity function belongs to {0, 1}. Therefore the feasible set is not convex and its interior is empty for most usual topologies. We propose a relaxed formulation of the problem. We prove existence of solutions and give optimality conditions.
- 出版日期2009-1
