Denoising Magnetic Resonance Images Using Fourth Order Complex Diffusion
Jeny Rajan, Ben Jeurissen, Jan Sijbers, K. Kannan · 2009
Complex diffusion is a comparatively new Partial Differential Equations (PDE) based method introduced for removing noise from images. The efficiency of 2ndorder complex diffusion for image denoising is already proved by many researchers. 2ndorder non linear complex diffusion can behave like 3rdand 4thorder real PDEs enabling a variety of new options with standard 2ndorder numerical schemes. Extending 2ndorder non linear complex diffusion to 4thorder can produce a much better result. In this paper we present a 4thorder non linear complex diffusion. Our experimental results show that this 4thorder complex PDE is a good choice for denoising Magnetic Resonance images. The efficacy of the algorithm is demonstrated on both simulated and real magnetic resonance images.