Stable discretization of scalar and constrained vectorial Perona–Malik equation
Stable discretization of scalar and constrained vectorial Perona–Malik equation
We survey recent results on analysis and numerics of the scalar Perona–Malik equation. A vectorial Perona–Malik equation is introduced to evolve unit vector fields for directional diffusion. For both cases, scalar and vectorial, fully discrete schemes are proposed which fulfill a discrete energy law, and satisfy a discrete sphere constraint …