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Titlebook: An Introduction to Laplacian Spectral Distances and Kernels; Theory, Computation, Giuseppe Patanè Book 2017 Springer Nature Switzerland AG

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發(fā)表于 2025-3-21 17:00:03 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to Laplacian Spectral Distances and Kernels
期刊簡(jiǎn)稱Theory, Computation,
影響因子2023Giuseppe Patanè
視頻videohttp://file.papertrans.cn/156/155309/155309.mp4
學(xué)科分類Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and
圖書封面Titlebook: An Introduction to Laplacian Spectral Distances and Kernels; Theory, Computation, Giuseppe Patanè Book 2017 Springer Nature Switzerland AG
影響因子.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 t
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發(fā)表于 2025-3-21 23:00:46 | 只看該作者
2469-4215 he reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in t978-3-031-01465-9978-3-031-02593-8Series ISSN 2469-4215 Series E-ISSN 2469-4223
板凳
發(fā)表于 2025-3-22 01:41:51 | 只看該作者
Berechnung des Energieverbrauchesresponding saddles. In a similar way, Laplacian eigenfunctions associated with small eigenvalues and diffusion maps at small scales are characterized by a generally low number of critical points, whose spatial location cannot be defined ..
地板
發(fā)表于 2025-3-22 08:37:26 | 只看該作者
An Introduction to Laplacian Spectral Distances and KernelsTheory, Computation,
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發(fā)表于 2025-3-22 10:55:16 | 只看該作者
Book 2017cian 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 t
6#
發(fā)表于 2025-3-22 14:42:52 | 只看該作者
2469-4215 s 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 d
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發(fā)表于 2025-3-22 21:25:31 | 只看該作者
Conclusions,st appropriate with respect to shape representation, computational resources, and target application, all the reviewed numerical schemes have been discussed and compared in terms of robustness, approximation accuracy, and computational cost.
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發(fā)表于 2025-3-23 03:29:26 | 只看該作者
Book 2017ances, 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 un
10#
發(fā)表于 2025-3-23 08:22:21 | 只看該作者
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