How are the edges of an image obtained with anisotropic diffusion?

1. How does anisotropic diffusion work?
2. What is diffusion anisotropy?
3. What is anisotropic diffusion image denoising?
4. What is the difference between anisotropic and isotropic diffusion?

How does anisotropic diffusion work?

Anisotropic diffusion is a generalization of this diffusion process: it produces a family of parameterized images, but each resulting image is a combination between the original image and a filter that depends on the local content of the original image.

What is diffusion anisotropy?

In brain imaging, diffusion anisotropy is a manifestation of tissues obstructing the otherwise free diffusion of water molecules. Brain tissues with different structural make-ups, e.g. healthy or diseased, influence the diffusion differently [Moseley et al., 1990, Beaulieu, 2002].

What is anisotropic diffusion image denoising?

Anisotropic diffusion filtering is a widely used partial differential equation (PDE) based technique, which works effectively for removal of noise and preserving edges. This technique is highly dependent on diffusion coefficient and threshold parameter.

What is the difference between anisotropic and isotropic diffusion?

Anisotropic diffusion (a) resembles a three-dimensional ellipsoid in space with predominant diffusion of molecules along the main axis of the ellipsoid and restricted diffusion perpendicular to the ellipsoid. Isotropic diffusion (b) can be represented by a sphere with equal diffusion in all directions in space.