A coarsening finite element strategy in image selective smoothing
نویسندگان
چکیده
We introduce the coarsening of finite element computational grid strategy into the method proposed by Kačur and Mikula in [11] for the numerical solution of the Perona–Malik model modified in the sense of Catté, Lions, Morel and Coll. It improves the efficiency of the method, while the solution tends to be more flat during the selective smoothing process applied to the image. The numerical approximation consists of Rothe’s method in time and linear finite elements on unstructured adaptively coarsened meshes in space.
منابع مشابه
An Adaptive Finite Volume Scheme for Solving Nonlinear Diffusion Equations in Image Processing
We propose the coarsening strategy for the finite volume computational method given by K. Mikula and N. Ramarosy (Numer. Math. 89, 2001, 561–590) for the numerical solution of the (modified in the sense of F. Catté et al. (SIAM J. Numer. Anal. 29, 1992, 182–193)) Perona–Malik nonlinear image selective smoothing equation (called anisotropic diffusion in image processing). The adaptive aproach is...
متن کاملPAIRED ANISOTROPIC DISTRIBUTION FOR IMAGE SELECTIVE SMOOTHING
In this paper, we present a novel approach for image selective smoothing by the evolution of two paired nonlinear partial differential equations. The distribution coefficient in de-noising equation controls the speed of distribution, and is determined by the edge-strength function. In the previous works, the edge-strength function depends on isotropic smoothing of the image...
متن کاملSmoothing and Adaptive Stretching of Discontinuous Fields in Finite Element Applications
A technique for adaptive conjugate smoothing of discontinuous fields is presented in the paper. The described technique is applicable in various engineering problems and is especially effective when hybrid numerical – experimental methodologies are used. Adaptive image smoothing and stretching strategy is illustrated for a discontinuous plain stress field problem when photoelastic fringes repre...
متن کاملAn Adaptive Finite Element Method for Large Scale Image Processing
Nonlinear diffusion methods have proved to be powerful methods in the processing of 2D and 3D images. They allow a denoising and smoothing of image intensities while retaining and enhancing edges. On the other hand, compression is an important topic in image processing as well. Here a method is presented which combines the two aspects in an efficient way. It is based on a semi–implicit Finite E...
متن کاملAggregation-based aggressive coarsening with polynomial smoothing
This paper develops an algebraic multigrid preconditioner for the graph Laplacian. The proposed approach uses aggressive coarsening based on the aggregation framework in the setup phase and a polynomial smoother with sufficiently large degree within a (nonlinear) Algebraic Multilevel Iteration as a preconditioner to the flexible Conjugate Gradient iteration in the solve phase. We show that by c...
متن کامل