CurvatureFlowFilter

CurvatureFlowFilter[image]

applies a mean curvature flow filter to image.

CurvatureFlowFilter[image,t]

specifies the amount of curvature flow time t to be applied.

CurvatureFlowFilter[image,t,k]

applies the curvature flow with a modified conductance term parametrized by k.

Details

• 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 implements a Euclidean shortening filter.
• 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.
• CurvatureFlowFilter[image] is equivalent to CurvatureFlowFilter[image,1,].
• CurvatureFlowFilter applies the partial differential equation with the contour curvature to every image channel .
• In CurvatureFlowFilter[image,t], 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.

Examples

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Basic Examples(1)

Diffusing an angiography image:

 In[1]:=
 Out[1]=