  Cardiac cine magnetic resonance imaging (MRI) can be considered the optimal
criterion for measuring cardiac function. This imaging technique can provide us
with detailed information about cardiac structure, tissue composition and even
blood flow. This work considers the application of the higher order dynamic
mode decomposition (HODMD) method to a set of MR images of a heart, with the
ultimate goal of identifying the main patterns and frequencies driving the
heart dynamics. A novel algorithm based on singular value decomposition
combined with HODMD is introduced, providing a three-dimensional reconstruction
of the heart. This algorithm is applied (i) to reconstruct corrupted or missing
images, and (ii) to build a reduced order model of the heart dynamics.
