Noise Removal Using Fourth-Order Partial Differential Equations with Applications to Medical Magnetic Resonance Images in Space and Time (2003)
| Venue: | IEEE Trans. Imag. Proc |
| Citations: | 27 - 5 self |
BibTeX
@ARTICLE{Lysaker03noiseremoval,
author = {Marius Lysaker and Arvid Lundervold and Xue-cheng Tai},
title = {Noise Removal Using Fourth-Order Partial Differential Equations with Applications to Medical Magnetic Resonance Images in Space and Time},
journal = {IEEE Trans. Imag. Proc},
year = {2003},
volume = {12},
pages = {1579--1590}
}
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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 medical magnetic resonance images, both in space and time, as well as on non-medical test images. Our algorithm demonstrates good noise suppression with preservation of edges and contours and without destruction of important anatomical or functional detail, even at poor signal-to-noise ratios. We have also compared our method with a related second-order PDE model and nd our method to perform overall better on the images being tested.
