Partial Matchings and Growth Mapped Evolutions in Shape Spaces

Irene Kaltenmark, Alain Trouve; Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR) Workshops, 2016, pp. 28-36

The definition of shape spaces as homogeneous spaces under the action diffeomorphism equipped with a right invariant metric has been successful in providing theoretically sound and numerically efficient tools for registering and comparing shapes in the context of computational anatomy and leading to the so called diffeomorphometry. However, when considering not only shapes but shapes evolution or growth modelling through time, what could be the equivalent shape evolution spaces if any and what can be the natural group actions ? This paper proposes a principled framework in this direction on stratified shapes.