Study-of-the-V-HACD-algorithm/Quality-Measurement.md

@@ -32,6 +32,15 @@ It is important to take into account that, in order to be able to compare differ
 The Hausdorff distance was obtained for the different tests done before. We focus specially in how this distance is affected by the variation in the model resolution and concavity. The following two graphics show precicely this relationship, focusing in the max and mean values (calculated as a percentage over the mesh diagonal as described in the former paragraph).   
 ![Quality_Parameters](uploads/709f4ea097942ebdb7efef79d30f9f0e/Quality_Parameters.png)![Quality_Parameters__1_](uploads/bb9f05bee29908c9fc8417f2d7edcc39/Quality_Parameters__1_.png)
 
+A nice way to see the difference in quality amongst all the decompositions is to load the models in meshlab, apply the Hausdorff filter, colorize by vertex quality and (if needed) add the quality histogram.
+The red areas are the ones where the distance between the two meshes is small while the blue areas is where the error is bigger. The following images correspond to the vertex quality (obtained after applying the Hausdorff filter) for two models: one at 1e4 resolution and another at 50e6 resolution.
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+Hausdorff at 1e4 resolution            |  Hausdorff at 50e6 resolution
+:-------------------------:|:-------------------------:
+![hausdorff_1e4](uploads/214d79708323bbe6c370eaa93504654e/hausdorff_1e4.png) | ![hausdorff_50e6](uploads/2eddadfa7d742ddcc4831dd64749bff9/hausdorff_50e6.png)
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 #### Conclusions  
  
 A quality criteria obtained from the max and mean values of the Hausdorff distance is a good way to validate the decomposition of our 3D model.