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

M. Lysaker, A. Lundervold, Xue-Cheng Tai
2003 IEEE Transactions on Image Processing  
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. Index Terms-Fourth-order partial
more » ... ential equations, MRI, noise removal, nonlinear filtering and enhancement, restoration.
doi:10.1109/tip.2003.819229 pmid:18244712 fatcat:57fszf3ptjbrfgkrumdvt5ytly