  In this article, we review the literature on design and analysis of recursive
algorithms for reconstructing a time sequence of sparse signals from
compressive measurements. The signals are assumed to be sparse in some
transform domain or in some dictionary. Their sparsity patterns can change with
time, although, in many practical applications, the changes are gradual. An
important class of applications where this problem occurs is dynamic projection
imaging, e.g., dynamic magnetic resonance imaging (MRI) for real-time medical
applications such as interventional radiology, or dynamic computed tomography.
