An Introduction to Laplacian Spectral Distances and Kernels (eBook, PDF)

An Introduction to Laplacian Spectral Distances and Kernels (eBook, PDF)

Theory, Computation, and Applications

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In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances.Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential...

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