| Authors |
F. Knoll, K. Bredies, Pock Thomas, R. Stollberger |
| Appeared in |
Magnetic Resonance in Medicine
|
| Pages |
to appear |
| Date |
2011 |
| Abstract |
Total Variation (TV) was recently introduced in many different MRI
applications. The assumption of TV is that images consist of areas, which
are piecewise constant. However, in many practical MRI situations, this
assumption is not valid due to the inhomogeneities of the exciting B1
field and the receive coils. This work introduces the new concept of Total
Generalized Variation (TGV) for MRI, a new mathematical framework,
which is a generalization of the TV theory and which eliminates these
restrictions. Two important applications are considered in this paper,
image denoising and image reconstruction from undersampled radial data
sets with multiple coils. Apart from simulations, experimental results
from in vivo measurements are presented where TGV yielded improved
image quality over conventional TV in all cases.
|
| Link |
URL
|
