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Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Dimensionality reduction is the process by which a set of data points in a higher dimensional space are mapped to a lower dimension while maintaining certain properties of these p...
A general geometrical framework for image processing is presented. We consider intensity images as surfaces in the (x I) space. The image is thereby a two dimensional surface in t...