Claudio Mancinelli: Computing the Riemannian center of mass on meshes
20 October 2023 - 20 October 2023
East Campus USI-SUPSI - Room D0.02
The Riemannian center of mass provides the equivalent to the
Euclidean affine average on manifolds. In spite of its many
potential applications in computer graphics and geometric
modeling, there exist surprisingly few algorithms to compute it.

In this talk, a direct method for computing the Riemannian
center of mass on a triangle mesh is described. Such a method
works in the polyhedral metric and uses a piecewise-linear
interpolation of gradients of the distance fields from a set
of control points. Applications for tracing splines on a surface
and comparison to other methods at the state of the art will be
presented as well.

The speaker

 Claudio Mancinelli is a research fellow at the University of
Genova. He got both his BSc and his MSc in Applied Mathematics
at the University of Genova, respectively in 2015 and 2017. He
obtained his PhD in 2022, supervised by Professor E. Puppo. His
research interests are focused in Geometry Processing and
Discrete Differential Geometry.