Analytic formulation for 3D diffusion tensor

This work deals with image processing based upon non-linear diffusion PDEs (Partial Differential Equations). Some analytic formulation will be introduced to obtain the 3D diffusion tensor, replacing Jacobi´s numerical methods by expressions based on invariants of the symmetric matrix. Later, CED (Coherence Enhancing Filtering) anisotropic filtering properties will be observed and will be combined with isotropic diffusion, providing a type of filtering that allows combining noise removal and local structure preservation. Last, some applications 3D grey-level will be presented