Figure 4.

Eigenfunctions of various degrees for a sample mandible surface. The eigenfunctions are projected on the surface smoothed by the proposed heat kernel smoothing with bandwidth σ = 0.5 and degree k = 132. The smoothed surface is obtained by heat kernel smoothing applied to the coordinates of the surface mesh with the same parameter while preserving the topology of mesh. The first eigenfunction is simply ${\psi }_0=1∕\sqrt{\mu \left(\mathcal{M}\right)}$. The color scale is thresholded for better visualization.