title: Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time.
abstract: In this paper, we introduce a new method for image smoothing based on a fourth-order PDE model. The method is tested on a broad range of real medical magnetic resonance images, both in space and time, as well as on nonmedical synthesized test images. Our algorithm demonstrates good noise suppression without destruction of important anatomical or functional detail, even at poor signal-to-noise ratio. We have also compared our method with related PDE models.
authors.affiliation: Department of Mathematics, University of Bergen, N-5009 Bergen, Norway. mariusl@mi.uib.no,tai@mi.uib.no
authors.forename: Marius
authors.initials: M
authors.lastname: Lysaker
authors.forename: Arvid
authors.initials: A
authors.lastname: Lundervold
authors.forename: Xue-Cheng
authors.initials: XC
authors.lastname: Tai