GeometryProcessing/Spring2009/Schedule/Spectral Processing4

• Brad Loos

Okay, what is isometry, as in symmetries of a shape which are invariant up to isometry. Is there a more technical definition than just something that is the same about a shape even if you rotate/scale/animate it?

• Manasi Datar

Is the Green's function using the distance as a 'measure' of covariance in some sense ? As in, if we had measurements at each vertex, would the covariance matrix do the same job that the Green's function does, without having to compute the eigen vectors ?

Secondly, is there a concept similar to Mutual Information (used to measure similarity/correspondence while aligning images), defined for meshes ? It may not work in all cases, but could help eliminate naive one-to-one matching !