• Login
    View Item 
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 25 (2006)
    • 25-Issue 3
    • View Item
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 25 (2006)
    • 25-Issue 3
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A Primer on Topological Persistence

    Thumbnail
    View/Open
    invited1v25i3.pdf (29.46Kb)
    Date
    2006
    Author
    Edelsbrunner, Herbert
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    The idea of topological persistence is to look at homological features that persist along a nested sequence of topo-logical spaces. As a typical example, we may take the sequence of sublevel sets of a function. The combinatorial characterization of persistence in terms of pairs of critical values and fast algorithms computing these pairs make this idea practical and useful in dealing with the pervasive phenomenon of noise in geometric and visual data. This talk will1. recall the relatively short history of persistence and some of its older roots;2. introduce the concept intuitively while pointing out where algebra is needed to solidify the more difficult steps;3. discuss a few applications to give a feeling of the potential of the method in dealing with noise and scale.Besides the initial concept, the talk will touch upon recent extensions and their motivation.
    BibTeX
    @article {10.1111:j.1467-8659.2006.00942.x,
    journal = {Computer Graphics Forum},
    title = {{A Primer on Topological Persistence}},
    author = {Edelsbrunner, Herbert},
    year = {2006},
    publisher = {The Eurographics Association and Blackwell Publishing, Inc},
    ISSN = {1467-8659},
    DOI = {10.1111/j.1467-8659.2006.00942.x}
    }
    URI
    http://dx.doi.org/10.1111/j.1467-8659.2006.00942.x
    Collections
    • 25-Issue 3

    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