Laplacian Surface Editing

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dc.contributor.authorSorkine, O.en_US
dc.contributor.authorCohen-Or, D.en_US
dc.contributor.authorLipman, Y.en_US
dc.contributor.authorAlexa, M.en_US
dc.contributor.authorRössl, C.en_US
dc.contributor.authorSeidel, H.-P.en_US
dc.contributor.editorRoberto Scopigno and Denis Zorinen_US
dc.date.accessioned2014-01-29T09:19:51Z
dc.date.available2014-01-29T09:19:51Z
dc.date.issued2004en_US
dc.description.abstractSurface editing operations commonly require geometric details of the surface to be preserved as much as possible. We argue that geometric detail is an intrinsic property of a surface and that, consequently, surface editing is best performed by operating over an intrinsic surface representation. We provide such a representation of a surface, based on the Laplacian of the mesh, by encoding each vertex relative to its neighborhood. The Laplacian of the mesh is enhanced to be invariant to locally linearized rigid transformations and scaling. Based on this Laplacian representation, we develop useful editing operations: interactive free-form deformation in a region of interest based on the transformation of a handle, transfer and mixing of geometric details between two surfaces, and transplanting of a partial surface mesh onto another surface. The main computation involved in all operations is the solution of a sparse linear system, which can be done at interactive rates. We demonstrate the effectiveness of our approach in several examples, showing that the editing operations change the shape while respecting the structural geometric detail.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-13-4en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP04/179-188en_US
dc.publisherThe Eurographics Associationen_US
dc.titleLaplacian Surface Editingen_US
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SGP04: Eurographics Symposium on Geometry Processing