• Login
    View Item 
    •   Eurographics DL Home
    • Eurographics Workshops and Symposia
    • SPBG: Symposium on Point Based Graphics
    • Symposium on Point Based Graphics 05
    • View Item
    •   Eurographics DL Home
    • Eurographics Workshops and Symposia
    • SPBG: Symposium on Point Based Graphics
    • Symposium on Point Based Graphics 05
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A Sampling Theorem for MLS Surfaces

    Thumbnail
    View/Open
    047-054.pdf (1.985Mb)
    Date
    2005
    Author
    Bremer, Peer-Timo
    Hart, John C.
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    Recently, point set surfaces have been the focus of a large number of research efforts. Several different methods have been proposed to define surfaces from points and have been used in a variety of applications. However, so far little is know about the mathematical properties of the resulting surface. A central assumption for most algorithms is that the surface construction is well defined within a neighborhood of the samples. However, it is not clear that given an irregular sampling of a surface this is the case. The fundamental problem is that point based methods often use a weighted least squares fit of a plane to approximate a surface normal. If this minimization problem is ill-defined so is the surface construction. In this paper, we provide a proof that given reasonable sampling conditions the normal approximations are well defined within a neighborhood of the samples. Similar to methods in surface reconstruction, our sampling conditions are based on the local feature size and thus allow the sampling density to vary according to geometric complexity.
    BibTeX
    @inproceedings {10.2312:SPBG:SPBG05:047-054,
    booktitle = {Eurographics Symposium on Point-Based Graphics (2005)},
    editor = {Marc Alexa and Szymon Rusinkiewicz and Mark Pauly and Matthias Zwicker},
    title = {{A Sampling Theorem for MLS Surfaces}},
    author = {Bremer, Peer-Timo and Hart, John C.},
    year = {2005},
    publisher = {The Eurographics Association},
    ISSN = {1811-7813},
    ISBN = {3-905673-20-7},
    DOI = {10.2312/SPBG/SPBG05/047-054}
    }
    URI
    http://dx.doi.org/10.2312/SPBG/SPBG05/047-054
    Collections
    • Symposium on Point Based Graphics 05

    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