Fig. 3.

Metric optimization results in better match of eigen-functions between ${\mathcal{M}}_1$ and ${\mathcal{M}}_2$. (a)f_1,3 on ${\mathcal{M}}_1$. (b) f_2,3 on ${\mathcal{M}}_2$. (c) f_1,3 after metric optimization. (d) f_1,6 on ${\mathcal{M}}_1$. (e) f_2,6 on ${\mathcal{M}}_2$. (c) f_1,6 after metric optimization. Here f_m,n denote the n-th eigenfunction on ${\mathcal{M}}_m$.