Published by Morgan & Claypool Publishers, 2017
ISBN 10: 1681731398 ISBN 13: 9781681731391
Language: English
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Paperback or Softback. Condition: New. An Introduction to Laplacian Spectral Distances and Kernels: Theory, Computation, and Applications 0.56. Book.
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Published by Springer International Publishing, 2017
ISBN 10: 3031014650 ISBN 13: 9783031014659
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions.All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.
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Published by Berlin, Springer, ,, 1996
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Add to basketIX/337 S./pp., Originalpappband (publisher's cardboard covers), Bibliotheksexemplar in gutem Zustand / exlibrary in good condition (Einband gering gebrauchsspurig / binding shows minor tear and wear, einige Seiten eselsohrig / a few pages dog eared, einige Seiten gering wellig / some pages modestly wavy, Stempel auf Titel / title stamped, Rückenschildchen / lettering pannel to the spine, Block gut / contents clean, keine Unterstreichungen oder Anstreichungen / no underlining or remarks, nicht in Folie eingeschlagen / not wrapped up in foil), (Applied Mathematical Studies 113), Sprache: englisch.
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