Matching LBO eigenspace of non-rigid shapes via high order statistics

Understand

A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space.

• Several methods have been proposed to embed isometric shapes in flat domains while preserving distances measured on the manifold.
• Recently, attention has been given to embedding shapes into the eigenspace of the Lapalce-Beltrami operator.
• The Laplace-Beltrami eigenspace preserves the diffusion distance, and is invariant under isometric transformations.