Low-field Magnetic Resonance Imaging (LF MRI) is a cheap and safe technique to visualise the internal structure of the human body. Unlike other imaging techniques, Magnetic Resonance Imaging does not use ionising radiation to generate the images. Instead, it uses magnetic fields and radio waves which are nonthreatening to the health. The LF MRI scanners are constructed out of inexpensive materials and their maintenance is affordable. Therefore, these scanners are a promising alternative for developing countries that present economic limitations. Nonetheless, since Magnetic Resonance scanners use a weak magnetic field, the process of image reconstruction requires complex algorithms that need time. This thesis will examine the way in which the computational time of the image reconstruction from a low-field Magnetic Resonance Imaging can be reduced, using an algorithm based on the fast Fourier transform.