Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution
The authors introduce a linear semi-implicit complementarity volume numerical scheme for solving a level-set like nonlinear diffusion equation arising from image processing and curvature evolution problems. The equation is first linearized and by using a finite difference scheme in time \(t\), and the finite volume discretization in space is then applied to the linearized equation. Stability and existence of the generalized solution are proved mathematically. Various numerical examples are also presented to demonstrate the usefulness of the method.
semi-implicit complementarity volume scheme
nonlinear degenerate diffusion equations
scientific article; zbMATH DE number 1889291