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    GPU-assisted Positive Mean Value Coordinates for Mesh Deformations

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    117-123.pdf (471.9Kb)
    Date
    2007
    Author
    Lipman, Yaron
    Kopf, Johannes
    Cohen-Or, Daniel
    Levin, David
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    Abstract
    In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of Joshi et al. [JMD*07] we show the advantage of having positive coordinates. The control points of the deformation are the vertices of a "cage" enclosing the deformed mesh. To define positive mean value coordinates for a given vertex, the visible portion of the cage is integrated over a sphere. Unlike MVC [JSW05], PMVC are computed numerically. We show how the PMVC integral can be efficiently computed with graphics hardware. While the properties of PMVC are similar to those of Harmonic coordinates [JMD*07], the setup time of the PMVC is only of a few seconds for typical meshes with 30K vertices. This speed-up renders the new coordinates practical and easy to use.
    BibTeX
    @inproceedings {10.2312:SGP:SGP07:117-123,
    booktitle = {Geometry Processing},
    editor = {Alexander Belyaev and Michael Garland},
    title = {{GPU-assisted Positive Mean Value Coordinates for Mesh Deformations}},
    author = {Lipman, Yaron and Kopf, Johannes and Cohen-Or, Daniel and Levin, David},
    year = {2007},
    publisher = {The Eurographics Association},
    ISSN = {1727-8384},
    ISBN = {978-3-905673-46-3},
    DOI = {10.2312/SGP/SGP07/117-123}
    }
    URI
    http://dx.doi.org/10.2312/SGP/SGP07/117-123
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    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
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