A Direct Sampling Method for the Inversion of the Radon Transform

We propose a novel direct sampling method (DSM) for the effective and stable inversion of Radon transform. The DSM is based on generalization important almost orthogonality property in classical DSMs to fractional order Sobolev duality products new family probing functions. product proves be able greatly enhance robustness reconstructions some practically but severely ill-posed inverse problems associated with present detailed analysis better understand performance index functions, which are crucial numerical reconstructions. can computed very fast highly parallel manner. Numerical experiments carried out compare popular existing illustrate efficiency, stability, accuracy DSM.