Title :
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
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;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2003.819229
