Low field magnetic resonance imaging (MRI) scanners provide a unique low-cost alternative to conventional MRI scanners. Nevertheless, low-field scanners come with drawbacks such as reduced signal-to-noise ratio and resolution, and also distorted images caused by magnetic field inhomogeneity and non-linear gradient fields. Despite this, it still provides a more accessible way to provide MRI in resource-limited areas. The main goal of this thesis is to develop an algorithm that can reconstruct 3D data from the low-field scanner efficiently and without distortion to the image. To do this, conjugate phase reconstruction (CPR) is employed, particularly frequency segmented reconstruction (Noll, 1991) and multifrequency interpolation (Man et al., 1997).