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Conference Paper: Laplacian guided editing, synthesis, and simulation

TitleLaplacian guided editing, synthesis, and simulation
Authors
Issue Date2007
Citation
Proceedings - Pacific Conference On Computer Graphics And Applications, 2007, p. 5 How to Cite?
AbstractThe Laplacian has been playing a central role in numerous scientific and engineering problems. It has also become popular in computer graphics. This talk presents a series of our work that exploits the Laplacian in mesh editing, texture synthesis and flow simulation. First, a review is given on mesh editing using differential coordinates and the Poisson equation, which involves the Laplacian. The distinctive feature of this approach is that it modifies the original geometry implicitly through gradient field manipulation. This approach can produce desired results for both global and local editing operations, such as deformation, object merging, and denoising. This technique is computationally involved since it requires solving a large sparse linear system. To overcome this difficulty, an efficient multigrid algorithm specifically tailored for geometry processing has been developed. This multigrid algorithm is capable of interactively processing meshes with hundreds of thousands of vertices. In our latest work, Laplacian-based editing has been generalized to deforming mesh sequences, and efficient user interaction techniques have also been designed. Second, this talk presents a Laplacian-based method for surface texture synthesis and mixing from multiple sources. Eliminating seams among texture patches is important during texture synthesis. In our technique, it is solved by performing Laplacian texture reconstruction, which retains the high frequency details but computes new consistent low frequency components. Third, a method for inviscid flow simulation over manifold surfaces is presented. This method enforces incompressibility on closed surfaces by solving a discrete Poisson equation. Different from previous work, it performs simulations directly on triangle meshes and thus eliminates parametrization distortions. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/151916
ISSN

 

DC FieldValueLanguage
dc.contributor.authorYu, Yen_US
dc.date.accessioned2012-06-26T06:30:46Z-
dc.date.available2012-06-26T06:30:46Z-
dc.date.issued2007en_US
dc.identifier.citationProceedings - Pacific Conference On Computer Graphics And Applications, 2007, p. 5en_US
dc.identifier.issn1550-4085en_US
dc.identifier.urihttp://hdl.handle.net/10722/151916-
dc.description.abstractThe Laplacian has been playing a central role in numerous scientific and engineering problems. It has also become popular in computer graphics. This talk presents a series of our work that exploits the Laplacian in mesh editing, texture synthesis and flow simulation. First, a review is given on mesh editing using differential coordinates and the Poisson equation, which involves the Laplacian. The distinctive feature of this approach is that it modifies the original geometry implicitly through gradient field manipulation. This approach can produce desired results for both global and local editing operations, such as deformation, object merging, and denoising. This technique is computationally involved since it requires solving a large sparse linear system. To overcome this difficulty, an efficient multigrid algorithm specifically tailored for geometry processing has been developed. This multigrid algorithm is capable of interactively processing meshes with hundreds of thousands of vertices. In our latest work, Laplacian-based editing has been generalized to deforming mesh sequences, and efficient user interaction techniques have also been designed. Second, this talk presents a Laplacian-based method for surface texture synthesis and mixing from multiple sources. Eliminating seams among texture patches is important during texture synthesis. In our technique, it is solved by performing Laplacian texture reconstruction, which retains the high frequency details but computes new consistent low frequency components. Third, a method for inviscid flow simulation over manifold surfaces is presented. This method enforces incompressibility on closed surfaces by solving a discrete Poisson equation. Different from previous work, it performs simulations directly on triangle meshes and thus eliminates parametrization distortions. © 2007 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofProceedings - Pacific Conference on Computer Graphics and Applicationsen_US
dc.titleLaplacian guided editing, synthesis, and simulationen_US
dc.typeConference_Paperen_US
dc.identifier.emailYu, Y:yzyu@cs.hku.hken_US
dc.identifier.authorityYu, Y=rp01415en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/PG.2007.40en_US
dc.identifier.scopuseid_2-s2.0-46749092975en_US
dc.identifier.spage5en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridYu, Y=8554163500en_US

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