Point Integral Method for Solving Poisson-type Equations on Manifolds from Point Clouds with Convergence Guarantees

Zhen Li, Zuoqiang Shi, Jian Sun

Type: Preprint

Publication Date: 2014-01-01

Citations: 10

DOI: https://doi.org/10.48550/arxiv.1409.2623

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arXiv (Cornell University) - View - PDF
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+	Stability of Delaunay-type structures for manifolds	2012	Jean‐Daniel Boissonnat Ramsay Dyer Arijit Ghosh
+	Integral estimation from point cloud in d-dimensional space	2009	Chuanjiang Luo Jian Sun Yusu Wang
+ PDF Chat	Quantum mechanics on manifolds embedded in Euclidean space	2003	Philip Schuster R. L. Jaffe
+	Spectral Convergence of the connection Laplacian from random samples	2013	Amit Singer Hau‐Tieng Wu
+	Convergence of the Point Integral method for Poisson equation on point cloud	2014	Zuoqiang Shi Jian Sun
+	Riemannian Structures and Triangulations of Manifold	1976	J. Dodziuk V. K. Patodi
+	Finite Elements for the Beltrami operator on arbitrary surfaces	1988	Gerhard Dziuk