Multigrid Methods for Anisotropic Diffusion
نویسنده
چکیده
Multigrid methods provide a means with which to accelerate the solution of many problems derived from multidimensional linear and nonlinear Partial Differential Equations. A multigrid approach is applied to anisotropic diffusion, a process that is useful for image smoothing and edge strengthening. It is demonstrated to improve the response of the diffusion process by smoothing stubborn low-frequency artefacts. Where traditional relaxation approaches are used to solve large systems of equations on high-resolution images, multigrid methods sustain superior rates of convergence to arbitrary precision and provide a computational complexity that is linear in the number of pixels of the image.
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