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

被引：696

作者：

Lysaker, M ^{[1
]}

Lundervold, A

Tai, XC

机构：

[1] Univ Bergen, Dept Math, N-5009 Bergen, Norway

[2] Univ Bergen, Dept Physiol, N-5009 Bergen, Norway

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 2003年 / 12卷 / 12期

关键词：

fourth-order partial differential equations; MRI; noise removal; nonlinear filtering and enhancement; restoration;

D O I：

10.1109/TIP.2003.819229

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：1579 / 1590

页数：12

共 31 条

[1] A wavelet-based method for improving signal-to-noise ratio and contrast in MR images [J].