This paper presents an empirical study of the spectral properties of mesh Laplacian operators and how they are affected by changes in the the connectivity or number of vertices of the mesh. Specifically, we investigate to what extent the eigenvalues of an operator differ when eval- uated on different meshes representing the same object. Our experiments compare two different types of opera- tors, one being purely connectivity based and the other based on discrete approximations to the Laplace-Beltrami operator. The spectrum of the latter operators generally displayed more robustness.

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