Numerical methods for image reconstructionin NMR

Abstract

We consider two reconstructed methods, the Fourier transform and the Radon transform, in Nuclear Magnetic Resonance. The Fourier transform method takes long to acquire data. Therefore, people have tried to develop new tools and the Radon transform has been one of the most widespread tools of all. The algorithm works in the Radon domain where an image point corresponds to a sinogram and uses backprojection which means summing along a sinogram. Although the algorithm has lower quality of images and more computing-time than the Fourier algorithm, it has many adventages to improve the quality of image.