Fractional Anisotropic Diffusion for Noise Reduction in Magnetic Resonance Images.
Jonathan Blackledge · Arrow - TU Dublin (Technological University Dublin) · 2010
We extend the method of anisotropic diffusion for noise reduction in digital images to the case when the diffusion processes are non-Gaussian and Levy distributed. This yields a fractional diffusion equation characterised by the Levy index. A solution to this equation is considered and a numerical algorithm developed. The algorithm is then applied as a case study to the problem of reducing noise in magnetic resonance imaging. The focus of this study is on diffusion weighted images which have low signal-to-noise ratios.