Diffeomorphic Deformations and Topological Changes for Trees of 3D Curves
Pierre-Louis Antonsanti  1@  , Joan Glaunès  2  
1 : MAP5
Uniité de Paris
2 : MAP5
Université de Paris

We propose a framework for the alignment of 3D curve trees allowing both geometrical and topological deformations of a source tree onto a target. To that end we combine the natural Tree Like Shape space representation with LDDMM and optimal transport, allowing our template to both move in the tree space and be deformed by diffeomorphisms.

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