• Login
    View Item 
    •   Eurographics DL Home
    • Eurographics Partner Events
    • PG: Pacific Graphics Short Papers
    • PG2014short
    • View Item
    •   Eurographics DL Home
    • Eurographics Partner Events
    • PG: Pacific Graphics Short Papers
    • PG2014short
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Projecting Points onto Planar Parametric Curves by Local Biarc Approximation

    Thumbnail
    View/Open
    031-036.pdf (3.766Mb)
    Date
    2014
    Author
    Song, Hai-Chuan
    Shi, Kan-Le
    Yong, Jun-Hai
    Zhang, Sen
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    This paper proposes a geometric iteration algorithm for computing point projection and inversion on surfaces based on local biarc approximation. The iteration begins with initial estimation of the projection of the prescribed test point. For each iteration, we construct a 3D biarc on the original surface to locally approximate the original surface starting from the current projection point. Then we compute the projection point for the next iteration, as well as the parameter corresponding to it, by projecting the test point onto this biarc. The iterative process terminates when the projection point satisfies the required precision. Examples demonstrate that our algorithm converges faster and is less dependent on the choice of the initial value compared to the traditional geometric iteration algorithms based on single-point approximation.
    BibTeX
    @inproceedings {pgs.20141248,
    booktitle = {Pacific Graphics Short Papers},
    editor = {John Keyser and Young J. Kim and Peter Wonka},
    title = {{Projecting Points onto Planar Parametric Curves by Local Biarc Approximation}},
    author = {Song, Hai-Chuan and Shi, Kan-Le and Yong, Jun-Hai and Zhang, Sen},
    year = {2014},
    publisher = {The Eurographics Association},
    ISBN = {978-3-905674-73-6},
    DOI = {10.2312/pgs.20141248}
    }
    URI
    http://dx.doi.org/10.2312/pgs.20141248
    Collections
    • PG2014short

    Eurographics Association copyright © 2013 - 2020 
    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

    BibTeX | TOC

    Create BibTeX Create Table of Contents

    Eurographics Association copyright © 2013 - 2020 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA