10.8 Applications to multi-modal Image registration.

We believe that the criticality graph and zones can be used to register images that represent threshold defined objects. We are developing tree matching algorithms in this regard, so that we can map the criticality trees of images of the same volume taken via different modalities. If a subtree T₁ of G₁ maps to a subtree T₂ of G₂, the appropriate tensor transformation between the zones of T₁ and T₂ can be computed, as part of the overall registration transformation. Note that the criticality graphs are invariant under translation, rotation, scaling, and value translation.