Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform

摘要

We propose a numerical solution of reconstruction problemof a potential symmetric 2-tensor field in a ball from the known values ofthe normal Radon transform. The algorithm is based on the method oftruncated singular value decomposition. Numerical simulations confirmthat the proposed method yields good results of reconstruction of potentialsymmetric 2-tensor fields.