Anisotropic Diffusion (Perona & Malik)

A set of filters that perform 1D, 2D and 3D conventional anisotropic diffusion (gray scale data).

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Anisotropic diffusion is a powerful image enhancer and restorer based on the PDE of heat transfer.

The implementation details are described in "P. Perona and J. Malik, Scale-Space and Edge Detection Using Anisotropic Diffusion, IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7):629-639, July 1990" and in "G. Grieg, O. Kubler, R. Kikinis, and F. A. Jolesz, Nonlinear Anisotropic Filtering of MRI Data, IEEE Transactions on Medical Imaging, 11(2):221-232, June 1992".

The algorithm was implemented to perform upon 1D, 2D and 3D gray-scale signals.

Cite As

Daniel Lopes (2026). Anisotropic Diffusion (Perona & Malik) (https://ch.mathworks.com/matlabcentral/fileexchange/14995-anisotropic-diffusion-perona-malik), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: 3D blob segmentation

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0