Carlos Sing-Long1,2, Vicente Parot1,2, Carlos Lizama3, Sergio Uribe, 2,4, Cristian Tejos1,2, Pablo Irarrazaval1,2
1Department of Electrical Engineering, Pontificia Universidad Catolica de Chile, Santiago, Chile; 2Biomedical Imaging Center, Pontificia Universidad Catolica de Chile, Santiago, Chile; 3Department of Mathematics and Computer Science, Universidad de Santiago de Chile, Santiago, Chile; 4Department of Radiology, Pontificia Universidad Catolica de Chile, Santiago, Chile
In Magnetic Resonance Imaging (MRI) the distortions produced by field inhomogeneities can be corrected with post processing techniques, e.g. linear correction and conjugate phase reconstruction methods. However, these methods do not provide a theoretical framework to analyze the distortions. In this work, we propose the Fractional Fourier Transform (FrFT) as a way to study the distortions produced by quadratic field inhomogeneities. We analyze some commonly used sequences to exemplify the usefulness of this method. We also show how this analysis can be used to reconstruct artifact-free images obtained from non homogeneous fields.