• Login
    View Item 
    •   Eurographics DL Home
    • Eurographics Conferences
    • EG2017
    • EG 2017 - Short Papers
    • View Item
    •   Eurographics DL Home
    • Eurographics Conferences
    • EG2017
    • EG 2017 - Short Papers
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Conformal Factor Persistence for Fast Hierarchical Cone Extraction

    Thumbnail
    View/Open
    057-060.pdf (43.70Mb)
    Date
    2017
    Author
    Vintescu, Ana-Maria
    Dupont, Florent
    Lavoué, Guillaume
    Memari, Pooran
    Tierny, Julien
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    This paper presents a new algorithm for the fast extraction of hierarchies of cone singularities for conformal surface parameterization. Cone singularities have been shown to greatly improve the distortion of such parameterizations since they locally absorb the area distortion. Therefore, existing automatic approaches aim at inserting cones where large area distortion can be predicted. However, such approaches are iterative, which results in slow computations, even often slower than the actual subsequent parameterization procedure. This becomes even more problematic as often the user does not know in advance the right number of needed cones and thus needs to explore cone hierarchies to obtain a satisfying result. Our algorithm relies on the key observation that the local extrema of the conformal factor already provide a good approximation of the cone singularities extracted with previous techniques, while needing only one linear solving where previous approaches needed one solving per hierarchy level. We apply concepts from persistent homology to organize very efficiently such local extrema into a global hierarchy. Experiments demonstrate the approximation quality of our approach quantitatively and report time-performance improvements of one order of magnitude, which makes our technique well suited for interactive contexts.
    BibTeX
    @inproceedings {10.2312:egsh.20171014,
    booktitle = {EG 2017 - Short Papers},
    editor = {Adrien Peytavie and Carles Bosch},
    title = {{Conformal Factor Persistence for Fast Hierarchical Cone Extraction}},
    author = {Vintescu, Ana-Maria and Dupont, Florent and Lavoué, Guillaume and Memari, Pooran and Tierny, Julien},
    year = {2017},
    publisher = {The Eurographics Association},
    ISSN = {1017-4656},
    DOI = {10.2312/egsh.20171014}
    }
    URI
    http://dx.doi.org/10.2312/egsh.20171014
    https://diglib.eg.org:443/handle/10.2312/egsh20171014
    Collections
    • EG 2017 - Short Papers

    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.
    TUGFhA
     

     

    Browse

    All of Eurographics DLCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    BibTeX | TOC

    Create BibTeX Create Table of Contents

    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.
    TUGFhA