# Average Hausdorff Distance

**URL:** <https://discourse.slicer.org/t/average-hausdorff-distance/19334>\
**Category:** Support\
**Tags:** segmentation\
**Created:** [August 24, 2021, 10:26am UTC](https://discourse.slicer.org/t/average-hausdorff-distance/19334 "2021-08-24T10:26:22Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![11116](https://sea2.discourse-cdn.com/flex002/user_avatar/discourse.slicer.org/11116/32/9013_2.png) [@11116](https://discourse.slicer.org/u/11116)\
**Post date:** [August 24, 2021, 10:26am UTC](https://discourse.slicer.org/t/average-hausdorff-distance/19334/1 "2021-08-24T10:26:22Z")

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Hi,  
I want to use the mean Hausdorff Distance as a validaton metric to compare ground truth with predicted segmentation masks. What is the theoretical background that 3D slices use to calculate AHD?

Thank you in advance,  
Spyridoula Zagkou

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**Author:** ![lassoan](https://sea2.discourse-cdn.com/flex002/user_avatar/discourse.slicer.org/lassoan/32/13_2.png) [@lassoan](https://discourse.slicer.org/u/lassoan)\
**Post date:** [August 25, 2021, 4:16am UTC](https://discourse.slicer.org/t/average-hausdorff-distance/19334/2 "2021-08-25T04:16:15Z")

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There are a number of extensions that compute Hausdorff distance. Their implementation may be slightly different. Which extension and module do you use?

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<div class="post-metadata">

**Author:** ![11116](https://sea2.discourse-cdn.com/flex002/user_avatar/discourse.slicer.org/11116/32/9013_2.png) [@11116](https://discourse.slicer.org/u/11116)\
**Post date:** [August 25, 2021, 8:05am UTC](https://discourse.slicer.org/t/average-hausdorff-distance/19334/3 "2021-08-25T08:05:22Z")

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I use module Segment Comparison and results from Hausdorff distance metrics.