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Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels
We use heat kernels or eigenfunctions of the Laplacian to construct local coordinates on large classes of Euclidean domains and Riemannian manifolds (not necessarily smooth, e.g., with (α) metric). These coordinates are bi-Lipschitz on large neighborhoods of the domain or manifold, with constants c...
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| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Artigo |
| Kieli: | Inglês |
| Julkaistu: |
National Academy of Sciences
2008
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| Aiheet: | |
| Linkit: | https://ncbi.nlm.nih.gov/pmc/articles/PMC2538843/ https://ncbi.nlm.nih.gov/pubmed/18258744 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0710175104 |
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