MRI denoising using the anisotropic coupled diffusion equations

Magnetic Resonance Imaging is affected by random noise which limits the accuracy of many quantitative measurements from the data. The coupled partial diffusion equations are introduced for Magnetic Resonance Imaging denoising. One equation contains an anisotropic diffusion term, which controls the diffusion direction, a fidelity term, which assures the filtered image is not far from the initial image, and a diffusion gene, which controls diffusion speed of each pixel and connects with another diffusion equation. The results show that the coupled diffusion equations have good noise reduction and details protection capabilities.