Deformetrica is a software for the statistical analysis of 2D and 3D shape data. It essentially computes deformations of the 2D or 3D ambient space, which, in turn, warp any object embedded in this space, whether this object is a curve, a surface, a structured or unstructured set of points, or any combination of them.
Deformetrica comes with three main applications:
- registration : which computes the best possible deformation between two sets of objects.
- atlas construction : which computes an average object configuration from a collection of object sets, and the deformations from this average to each sample in the collection.
- geodesic regression : which computes an object time-series constrained to pass as closely as possible to a set of observations indexed by time.
Deformetrica has very little requirements about the data it can deal with.
In particular, it does not require point correspondence between objects!