• Login
    View Item 
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 40 (2021)
    • 40-Issue 2
    • View Item
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 40 (2021)
    • 40-Issue 2
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Orthogonalized Fourier Polynomials for Signal Approximation and Transfer

    Thumbnail
    View/Open
    v40i2pp435-447.pdf (4.787Mb)
    paper1012_supp.pdf (106.0Kb)
    Date
    2021
    Author
    Maggioli, Filippo ORCID
    Melzi, Simone ORCID
    Ovsjanikov, Maks ORCID
    Bronstein, Michael M. ORCID
    Rodolà, Emanuele ORCID
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    We propose a novel approach for the approximation and transfer of signals across 3D shapes. The proposed solution is based on taking pointwise polynomials of the Fourier-like Laplacian eigenbasis, which provides a compact and expressive representation for general signals defined on the surface. Key to our approach is the construction of a new orthonormal basis upon the set of these linearly dependent polynomials. We analyze the properties of this representation, and further provide a complete analysis of the involved parameters. Our technique results in accurate approximation and transfer of various families of signals between near-isometric and non-isometric shapes, even under poor initialization. Our experiments, showcased on a selection of downstream tasks such as filtering and detail transfer, show that our method is more robust to discretization artifacts, deformation and noise as compared to alternative approaches.
    BibTeX
    @article {10.1111:cgf.142645,
    journal = {Computer Graphics Forum},
    title = {{Orthogonalized Fourier Polynomials for Signal Approximation and Transfer}},
    author = {Maggioli, Filippo and Melzi, Simone and Ovsjanikov, Maks and Bronstein, Michael M. and Rodolà, Emanuele},
    year = {2021},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.142645}
    }
    URI
    https://doi.org/10.1111/cgf.142645
    https://diglib.eg.org:443/handle/10.1111/cgf142645
    Collections
    • 40-Issue 2

    Eurographics Association copyright © 2013 - 2022 
    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 - 2022 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA