Zi Ye: Discrete intrinsic Dirac operator

Abstract: We proposed a discrete intrinsic Dirac operator for the surfaces. We show that this operator is invariant under an isometric deformation and the eigenfunctions are corresponding to the conformal immersions. In particular, by a Dirac eigenvalue estimation, the first eigenfunction always gives an immersion with small Willmore energy. In the end, we will talk about some applications in geometry processing and shape analysis.