Sparse Non-negative Stencils for Anisotropic Diffusion

被引：0

作者：

Jérôme Fehrenbach

Jean-Marie Mirebeau

机构：

[1] Université Paul Sabatier,Institut de Mathématiques de Toulouse

[2] University Paris Dauphine,CNRS, Laboratory CEREMADE, UMR 7534

来源：

Journal of Mathematical Imaging and Vision | 2014年 / 49卷

关键词：

Anisotropic diffusion; Non-negative numerical scheme; Lattice basis reduction;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a new discretization scheme for Anisotropic Diffusion, AD-LBR, on two and three dimensional Cartesian grids. The main features of this scheme is that it is non-negative and has sparse stencils, of cardinality bounded by 6 in 2D, by 12 in 3D, despite allowing diffusion tensors of arbitrary anisotropy. The radius of these stencils is not a-priori bounded however, and can be quite large for pronounced anisotropies. Our scheme also has good spectral properties, which permits larger time steps and avoids e.g. chessboard artifacts.

引用

页码：123 / 147

页数：24

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