Spectral Geometry

Finite Element Method (FEM) discretization of the Laplace-Beltrami operator on triangular meshes, parametric on the polynomial’s order of the hat functions.

The usual Laplacian eigenbasis is extended to consider also polynomials of the eigenfunctions. The new extended basis has in increased descriptive power in signal reconstruction and transfer tasks, coming at a very reduced cost.

We introduce a novel computational framework for digital geometry processing, based upon the derivation of a nonlinear operator …