Sparse approximation of 3D meshes using the spectral geometry of the Hamiltonian operator

Y Choukroun, G Pai, R Kimmel - Journal of Mathematical Imaging and …, 2018 - Springer
The discrete Laplace operator is ubiquitous in spectral shape analysis, since its
eigenfunctions are provably optimal in representing smooth functions defined on the surface …

Orthogonally Constrained Sparse Approximations with Applications to Geometry Processing

SA Liddell - 2019 - etheses.whiterose.ac.uk
Compressed manifold modes are solutions to an optimisation problem involving the $\ell_1
$ norm and the orthogonality condition $ X^ TMX= I $. Such functions can be used in …