Direct Fourier reconstruction in computer tomography

Direct Fourier transform (FT) reconstruction of images in computerized tomography (CT) is not widely used because of the difficulty of precisely interpolating from polar to Cartesian samples. In this paper, an exact interpolation scheme is proposed which, in practice, can be approached with arbitrary accuracy using well-conditioned algorithms. Several features of the direct FT method are discussed. A method that allows angular band limiting of the data before processing -to avoid angular aliasing artifacts in the reconstructed image-is discussed and experimentally verified. The experimental results demonstrate the feasibility of direct FT reconstruction of CT data.