Schrödinger Operator for Sparse Approximation of 3D Meshes (Unknown language)

in Symposium on Geometry Processing 2017- Posters; 9-10
Symposium on Geometry Processing 2017- Posters

We 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.

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Table of contents conference proceedings

The table of contents of the conference proceedings is generated automatically, so it can be incomplete, although all articles are available in the TIB.

1
Sequentially-Defined Compressed Modes via ADMM
Houston, Kevin | 2017
3
DepthCut: Improved Depth Edge Estimation Using Multiple Unreliable Channels
Guerrero, Paul / Winnemöller, Holger / Li, Wilmot / Mitra, Niloy J. | 2017
5
Localized Manifold Harmonics for Spectral Shape Analysis
Melzi, Simone / Rodolà, Emanuele / Castellani, Umberto / Bronstein, Michael M. | 2017
7
A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes
Ptackova, Lenka / Velho, Luiz | 2017
9
Schrödinger Operator for Sparse Approximation of 3D Meshes
Choukroun, Yoni / Pai, Gautam / Kimmel, Ron | 2017
11
PCR: A Geometric Cocktail for Triangulating Point Clouds Beautifully Without Angle Bounds
Leitão, Gonçalo N. V. / Gomes, Abel J. P. | 2017

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