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    A Framework Based on Compressed Manifold Modes for Robust Local Spectral Analysis

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    Date
    2017
    Author
    Haas, Sylvain
    Baskurt, Atilla
    Dupont, Florent
    Denis, Florence
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    Abstract
    Compressed Manifold Modes (CMM) were recently introduced as a solution to one of the drawbacks of spectral analysis on triangular meshes. The eigenfunctions of the Laplace-Beltrami operator on a mesh depend on the whole shape which makes them sensitive to local aspects. CMM are solutions of an extended problem that have a compact rather than global support and are thus suitable for a wider range of applications. In order to use CMM in real applications, an extensive test has been performed to better understand the limits of their computation (convergence and speed) according to the compactness parameter, the mesh resolution and the number of requested modes. The contribution of this paper is to propose a robust choice of parameters, the automated computation of an adequate number of modes (or eigenfunctions), stability with mutltiresolution and isometric meshes, and an example application with high potential for shape indexation.
    BibTeX
    @inproceedings {10.2312:3dor.20171054,
    booktitle = {Eurographics Workshop on 3D Object Retrieval},
    editor = {Ioannis Pratikakis and Florent Dupont and Maks Ovsjanikov},
    title = {{A Framework Based on Compressed Manifold Modes for Robust Local Spectral Analysis}},
    author = {Haas, Sylvain and Baskurt, Atilla and Dupont, Florent and Denis, Florence},
    year = {2017},
    publisher = {The Eurographics Association},
    ISSN = {1997-0471},
    ISBN = {978-3-03868-030-7},
    DOI = {10.2312/3dor.20171054}
    }
    URI
    http://dx.doi.org/10.2312/3dor.20171054
    https://diglib.eg.org:443/handle/10.2312/3dor20171054
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    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