Signal and Image Restoration Using Shock Filters and Anisotropic Diffusion
Luis Álvarez, Luis Mazorra · SIAM Journal on Numerical Analysis · 1994
The authors define a new class of filters for noise elimination and edge enhancement by using shock filters and anisotropic diffusion. Some nonlinear partial differential equations used as models for these filters are studied The authors develop recursive and unconditional stable schemes which drastically reduce the computational effort of the algorithms. A new fast recursive approach to linear Gaussian filters is also shown by using the heat equation.