Hyperconnected k-flat attribute filtering examples

Galaxies

original image(click for full-scale)k-flat attribute filtered (click for full-scale)
Original image of M81 spiral galaxyProcessed image of M81 spiral galaxy with stars removed
Original image of M81 spiral and M82 irregular galaxyProcessed image of M81 spiral galaxy with stars removed

Some alternative filters

median filter (click for full-scale)structural opening (click for full-scale)
Median filtered image of M81 spiral galaxyStructural opening of image of M81 spiral galaxy
area filter (click for full-scale)"branch"-filter (click for full-scale)
Area filtered image of M81 spiral galaxyBranch filtering of image of M81 spiral galaxy

Medical volume data sets

CT of knee, original, isosurface at level 1 MRI of head, original, isosurface at level 1
CT of knee, filtered, standard connectivity, isosurface at level 1 MRI of head, filtered, standard connectivity , isosurface at level 1
CT of knee, filtered, k-flat hyperconnectivity, isosurface at level 1 MRI of head, filtered, k-flat hyperconnectivity , isosurface at level 1

CT scan of a knee (first column, top to bottom); The original volume set at iso-level 1; the output of the non-compactness filter using standard connectivity and the output of the same filter setting k to 120, both at iso-level 12. MRI scan of a head (second column, top to bottom); The original volume set in color-table projection; the filter output using standard connectivity and setting $k$ to 100, both at iso-level 1.