منابع مشابه
Estimating the Laplace-Beltrami Operator by Restricting 3D Functions
We present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace-Beltrami operator by considering the derivatives of functions defined on the mesh. However, in this work, we explore a choice of functions that is decoupled from the tessellation. Specifically, we use basis functions (second-order tensor-product...
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Approximations of Laplace-Beltrami operators on manifolds through graph Laplacians have become popular tools in data analysis and machine learning. These discretized operators usually depend on bandwidth parameters whose tuning remains a theoretical and practical problem. In this paper, we address this problem for the unnormalized graph Laplacian by establishing an oracle inequality that opens ...
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ژورنال
عنوان ژورنال: Journées équations aux dérivées partielles
سال: 1996
ISSN: 0752-0360
DOI: 10.5802/jedp.508