dc.contributor.author | Chuang, Ming | en_US |
dc.contributor.author | Luo, Linjie | en_US |
dc.contributor.author | Brown, Benedict J. | en_US |
dc.contributor.author | Rusinkiewicz, Szymon | en_US |
dc.contributor.author | Kazhdan, Michael | en_US |
dc.date.accessioned | 2015-02-23T15:43:33Z | |
dc.date.available | 2015-02-23T15:43:33Z | |
dc.date.issued | 2009 | en_US |
dc.identifier.issn | 1467-8659 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1111/j.1467-8659.2009.01524.x | en_US |
dc.description.abstract | 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 B-splines) defined over 3D space, and then restrict them to the surface. We show that in addition to being invariant to mesh topology, this definition of the Laplace-Beltrami operator allows a natural multiresolution structure on the function space that is independent of the mesh structure, enabling the use of a simple multigrid implementation for solving the Poisson equation. | en_US |
dc.publisher | The Eurographics Association and Blackwell Publishing Ltd | en_US |
dc.title | Estimating the Laplace-Beltrami Operator by Restricting 3D Functions | en_US |
dc.description.seriesinformation | Computer Graphics Forum | en_US |
dc.description.volume | 28 | en_US |
dc.description.number | 5 | en_US |
dc.identifier.doi | 10.1111/j.1467-8659.2009.01524.x | en_US |
dc.identifier.pages | 1475-1484 | en_US |