This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# CurvatureFlowFilter

 CurvatureFlowFilter[image] applies a mean curvature flow filter to image. CurvatureFlowFilterspecifies the amount t of curvature flow to be applied. CurvatureFlowFilterapplies the curvature flow with a modified conductance term parametrized by k.
• Curvature flow filtering is an anisotropic diffusion method used for smoothing images while preserving edges. It effectively spreads the curvature along a contour, thereby rounding corners and reducing the Euclidean length of contours.
• CurvatureFlowFilter works on arbitrary grayscale or multichannel images, operating on each channel separately.
• The diffusion in a curvature flow filter runs parallel to the image contours. Diffusion perpendicular to the contours is omitted in order to preserve edges.
• The effect of CurvatureFlowFilter does not depend on the overall normalization of the image values.
• The conductance parameter k can take any positive value. The default value k=∞ renders the unmodified curvature flow filter.
• applies the partial differential equation with the contour curvature to every image channel .
• In CurvatureFlowFilter, t parametrizes the evolution of the curvature flow and thereby the spatial range of the filter.
• If a parameter k is supplied, the curvature flow with a modified conductance term is used.
Diffusing an angiography image:
Diffusing an angiography image:
 Out[1]=
 Scope   (2)
Specify the amount of diffusion:
Specify the conductance term:
New in 8