Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time

Author

Lysaker, Marius ; Lundervold, Arvid ; Tai, Xue-Cheng

Author_Institution

Dept. of Math., Univ. of Bergen, Norway

Volume

12

Issue

12

fYear

2003

Firstpage

1579

Lastpage

1590

Abstract

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.

Keywords

biomedical MRI; image denoising; image enhancement; image restoration; interference suppression; partial differential equations; random noise; smoothing methods; SNR; fourth-order PDE; fourth-order partial differential equation; image enhancement; image restoration; image smoothing; medical magnetic resonance images; noise removal; noise suppression; signal-to-noise ratio; Biomedical imaging; Filtering; Image restoration; Magnetic noise; Magnetic resonance; Magnetic resonance imaging; Medical diagnostic imaging; Noise shaping; Partial differential equations; Signal to noise ratio;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2003.819229

Filename

1257394