A total-variation-based regularization strategy in magnetic resonance imaging

Germana Landi; Elena Loli Piccolomini; Fabiana Zama

doi:10.1117/12.559393

22 October 2004 A total-variation-based regularization strategy in magnetic resonance imaging

Germana Landi, Elena Loli Piccolomini, Fabiana Zama

Proceedings Volume 5562, Image Reconstruction from Incomplete Data III; (2004) https://doi.org/10.1117/12.559393
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

In this paper we present some variational functionals for the regularization of Magnetic Resonance (MR) images, usually corrupted by noise and artifacts. The mathematical problem has a Tikhonov-like formulation, where the regularization functional is a nonlinear variational functional. The problem is numerically solved as an optimization problem with a quasi-Newton algorithm. The algorithm has been applied to MR images corrupted by noise and to dynamic MR images corrupted by truncation artifacts due to limited resolution. The results on test problems obtained from simulated and real data are presented. The functionals actually reduce noise and artifacts, provided that a good regularizing parameter is used.

Citation Download Citation

Germana Landi, Elena Loli Piccolomini, and Fabiana Zama "A total-variation-based regularization strategy in magnetic resonance imaging", Proc. SPIE 5562, Image Reconstruction from Incomplete Data III, (22 October 2004); https://doi.org/10.1117/12.559393

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available