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The spectral structure of the Laplacian-Beltrami operator (LBO) on manifolds has been widely used in many applications, include spectral clustering, dimensionality reduction, mesh smoothing, compression and editing, shape segmentation, matching and parameterization, and so on.
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Z. Li, Z. Shi, and J. Sun
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Z. Shi and J. Sun
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Spectral convergence of the connection laplacian from random samples
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