Hausdorff Metric Information

[Matthew Strugari]

Hi Greg,

Do you happen to have a link where I could read up on the Hausdorff metrics? I would like to have a better understanding of how the Hausdorff distances are calculated throughout the entire volume versus at the boundary. Specifically, what is the difference between the Hausdorff distance and the Hausdorff distance (boundary) when comparing two volumes? I cannot find anything online to explain this.

Thanks.

Matthew

[Sharp, Gregory C.]

Hi Matthew,

 

Sorry for the late response again.  You can look at this page.

(Scroll down to “Detailed Description.”)

 

http://plastimatch.org/doxygen/classHausdorff__distance.html

 

So when you use the --all option, you get this:

 

Hausdorff distance = 26.315800

Average Hausdorff distance = 3.406956

Percent (0.95) Hausdorff distance = 19.736851

Hausdorff distance (boundary) = 26.315800

Average Hausdorff distance (boundary) = 7.115032

Percent (0.95) Hausdorff distance (boundary) = 26.315800

 

The computations are voxelized.  For the entire volume, it is the

maximum (or average, or 95%) distance for each voxel inside the reference

image to the closest voxel inside the comparison image.

For the boundary method, both reference and comparison images

are pre-processed so that only voxels that are “just inside” of the region

are considered.  By “just inside”, I mean that the voxels are inside the

region, but a neighboring voxel is outside the region.

 

Greg

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[Matthew Strugari]

Thank-you kindly Greg! That is exactly what I was looking for.