Figure 2.
A black circle is deformed to match a green ellipse with initialization (left) and estimated model (right). Top: Deformation parameters are located at the vertices of the circle. Bottom: Deformation parameters are independent of the shape representation; a set of control points are initialized in the ambient space (bottom left). The deformation directions are estimated as well as their locations (bottom right). See Section 3.2 for details regarding the estimation of deformation parameters and their locations. The left/right expansion of the circle is more succinctly captured by the sparse parameterization.
