Choukroun, YoniPai, GautamKimmel, RonJakob Andreas Bærentzen and Klaus Hildebrandt2017-07-022017-07-022017978-3-03868-047-51727-8384https://doi.org/10.2312/sgp.20171205https://diglib.eg.org:443/handle/10.2312/sgp20171205We introduce a Schrödinger operator for spectral approximation of meshes representing surfaces in 3D. The operator is obtained by modifying the Laplacian with a potential function which defines the rate of oscillation of the harmonics on different regions of the surface. We design the potential using a vertex ordering scheme which modulates the Fourier basis of a 3D mesh to focus on crucial regions of the shape having high-frequency structures and employ a sparse approximation framework to maximize compression performance. The combination of the spectral geometry of the Hamiltonian in conjunction with a sparse approximation approach outperforms existing spectral compression schemes.I.3.5 [Computer Graphics]Computational Geometry and Object ModelingCurvesurfacesolidand object representations10.2312/sgp.201712059-10