2018/01/17 by Yehonatan Salman, Salman, Yehonatan
Mathematics · Materials Science · #Mathematical Approximation and Integration #Radiation Shielding Materials Analysis
paper · pdf · doi:10.48550/arxiv.1801.05838
The aim of this paper is to present inversion methods for the classical Radon transform which is defined on a family of k dimensional planes in \Bbb Rn where 1≤ k≤ n - 2. For these values of k the dimension of the set H(n,k), of all k dimensional planes in \Bbb Rn, is greater than n and thus in order to obtain a well-posed problem one should choose proper subsets of H(n,k). We present inversion methods for some prescribed subsets of H(n,k) which are of dimension n.