Hi,

 

I'm working on a program that reduces the complexity of a panelized wall geometry by replacing custom panels with standard panels, if their hausdorff distance ( http://en.wikipedia.org/wiki/Hausdorff_distance) is lower than a fixed tolerance.

 

Currently I am comparing local coordinates centered on the centroids of each of the shapes. Now I am looking for a way to minimize the hausdorff distance by finding an optimal rotation of the shape I am trying to match. any hints would be greatly appreciated.

 

thanks!