Recently, it was proven empirically that facial expressions can be modelled as isometries, that is, geodesic distances on the facial surface were shown to be significantly less se...
Alexander M. Bronstein, Michael M. Bronstein, Ron ...
In this paper we introduce a novel Riemannian framework for shape analysis of parameterized surfaces. We derive a distance function between any two surfaces that is invariant to r...
Sebastian Kurtek, Eric Klassen, Anuj Srivastava, Z...
The deformation of applicable surfaces such as sheets of paper satisfies the differential geometric constraints of isometry (lengths and areas are conserved) and vanishing Gaussia...
Nail A. Gumerov, Ali Zandifar, Ramani Duraiswami, ...
We investigate the relationship between computable metric spaces (X, d, ) and (X, d, ), where (X, d) is a given metric space. In the case of Euclidean space, and are equivalent u...
We introduce a new method -- the group Dantzig selector -- for high dimensional sparse regression with group structure, which has a convincing theory about why utilizing the group...