Transporting deformations from a template to a different one is a typical task of the shape analysis. In particular, it is necessary to perform such a kind of transport when performing group-wise statistical analyses in Shape or Size and Shape Spaces. A typical example is when one is interested in separating the difference in function from the difference in shape. The key point is: given two different templates BXand BYboth undergoing its own deformation, and describing these two deformations with the diffeomorphisms Î¦Xand Î¦Y, then when it is possible to say that they are experiencing the same deformation? Given a correspondence between the points of BXand BY(i.e. a bijective map), then a naive possible answer could be that the displacement vector u, associated to each corresponding point couple, is the same. In this manuscript, we assume a different viewpoint: two templates undergo the same deformation if for each corresponding point couple of the two templates the condition CX:= âTÎ¦XâÎ¦X= âTÎ¦YâÎ¦Y=: CYholds or, in other words, the local metric (non linear strain) induced by the two diffeomorphisms is the same for all the corresponding points.
Milicchio, F., Gabriele, S., & Acunzo, G. (2018). Transporting deformations via integration of local strains. In VipIMAGE 2017 (pp. 1145-1154).
|Titolo:||Transporting deformations via integration of local strains|
|Data di pubblicazione:||2018|
|Citazione:||Milicchio, F., Gabriele, S., & Acunzo, G. (2018). Transporting deformations via integration of local strains. In VipIMAGE 2017 (pp. 1145-1154).|
|Appare nelle tipologie:||2.1 Contributo in volume (Capitolo o Saggio)|