Anisotropic diffusion (stable scheme)

Stable and positive scheme for anisotropic diffusion

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This archive contains functions that assemble the stiffness matrix associated to anisotropic diffusion using the scheme presented in [J. Fehrenbach, J.-M. Mirebeau, Sparse non-negative stencils for anisotropic diffusion, J. Math. Imag. Vis., vol. 49(1) (2014), pp. 123-147]. This scheme is stable and positive, whatever the anisotropy of the diffusion tensor. It relies on 6-points stencils locally adapted to the diffusion tensor.
The present version addresses 2D and 3D problems. It aims at presenting and illustrating the results presented in the paper cited above, with a simple and easy-to-read code. Feel free to contact us regarding any need for an optimized implementation.

Cite As

Jérôme FEHRENBACH (2026). Anisotropic diffusion (stable scheme) (https://uk.mathworks.com/matlabcentral/fileexchange/47244-anisotropic-diffusion-stable-scheme), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.4.0.0

Update of the 2D code, 3D implementation added.

1.3.0.0

comments updated

1.2.0.0

illustration added.

1.1.0.0

title changed

1.0.0.0