A computation for tomographic reconstruction from projections
The author proposes a numerical method for evaluating singular integrals (Hadamard finite part integrals) of the type \(\int^ b_ a f(x)(x- s)^{-2} dx\). He proposes to replace \(f\) by a piecewise quintic Hermite polynomial. Error estimates involving the fourth derivative of \(f\) are given. This type of integrals appears in some inversion formulae for the Radon transform.
tomographic reconstruction from projections
scientific article; zbMATH DE number 700381