Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology

Computing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point. However, traditional k-nearest neighbors (k-NN) methods for es...

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Bibliographic Details
Main Authors: Ao Zhang, Qing Fang, Peng Zhou, Xiao-Ming Fu
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Graphical Models
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1524070325000086
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