Heat diffusion
| Useful links |
Slides about ITK filters using diffusion equation: http://webpages.uncc.edu/krs/courses/6010/medvis/itk_filt2.pdf
ITK Doxygen itk::AnisotropicDiffusionFunction: http://www.itk.org/Doxygen/html/classitk_1_1AnisotropicDiffusionFunction.html
ITK Doxygen itk::AnisotropicDiffusionImageFilter: http://www.itk.org/Doxygen/html/classitk_1_1AnisotropicDiffusionImageFilter.html
ITK Example of the vector gradient anisotropic diffusion filter applied to an image: http://www.itk.org/Wiki/ITK/Examples/Smoothing/VectorGradientAnisotropicDiffusionImageFilter
ITK smoothing filters with illustrations: http://math.nist.gov/mcsd/savg/software/filters/smooth/
From GitHub, this example shows how to take in a 2D scalar PNG image and filter it using Perona-Malik style anisotropic diffusion using itkAnisotropicDiffusionImageFilter:
https://github.com/InsightSoftwareConsortium/ITKApps/tree/master/AnisotropicDiffusionImageFilter
https://github.com/InsightSoftwareConsortium/ITKApps/blob/master/AnisotropicDiffusionImageFilter/itk2DAnisotropicDiffusionImageFilter.cxx
MATLAB version of the conventional anisotropic diffusion: http://www.mathworks.com/matlabcentral/fileexchange/14995-anisotropic-diffusion-perona-malik/content/anisodiff_Perona-Malik/anisodiff2D.m
Solving a heat equation in Matlab with script and plots: http://www.colorado.edu/geography/class_homepages/geog_4023_s07/labs/html/PDE_lab.html#5
Cours sur la discretisation et modelisation des equations aux derivees partielles et equations differentielles ordinaires: http://www.hach.ulg.ac.be/cms/system/files/Cours%20Grenoble%20EDP-EDO.pdf