Joint reconstruction is relevant for a variety of medical
imaging applications, where multiple images are acquired in parallel or
within a single scanning procedure. Examples include joint reconstruction
of different medical imaging modalities (e.g. CT and PET) and various
MRI applications (e.g. different MR imaging contrasts of the same
patient). In this paper we present an approach for joint reconstruction
of two MR images, based on partial sampling of both. We assume each
MR image has a limited number of edges, that is, low total variation,
but they are similar in the sense that many of the edges overlap. We
examine synthetic phantoms representing T1 and T2 imaging contrasts
and realistic T1-weighted and T2-weighted images of the same patient. We
show that our joint reconstruction approach outperforms conventional
TV-based MRI reconstruction for each image solely. Results are shown
both visually and numerically for sampling ratios of 4%-20%, and consist
of an improvement of up to 3.6dB
