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    A Case-Study of Inconsistent Surface Reconstruction in Recent Literature Resulting from Octree Rotation-Variance

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    Date
    2007
    Author
    Hughes, David Meirion
    Lim, Ik Soo
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    Abstract
    We review the use of octree and PCA (Principle Component Analysis) in current literature and explore a leading piece of research, as a case study, to highlight how overlooking octree rotation-variance has resulted in inconsistent results. We provide a simple method using PCA to re-orientate an octree to the intrinsic-orientation defined by data variance. In our case-study we explore and provide a method for consistency within multi-scale CSRBFs (Compactly Supported Radial Basis Functions). By utilizing PCA we provide rotation-invariant multi-scale surface reconstructions. We show, by curvature analysis, that the original surface reconstruction method is variant to data orientation and that our approach results in rotation-invariant reconstructions. In addition we also provide a technique for more flexibility when choosing a CSRBF for use with multi-scale surface reconstruction.
    BibTeX
    @inproceedings {10.2312:LocalChapterEvents:TPCG:TPCG07:195-199,
    booktitle = {Theory and Practice of Computer Graphics},
    editor = {Ik Soo Lim and David Duce},
    title = {{A Case-Study of Inconsistent Surface Reconstruction in Recent Literature Resulting from Octree Rotation-Variance}},
    author = {Hughes, David Meirion and Lim, Ik Soo},
    year = {2007},
    publisher = {The Eurographics Association},
    ISBN = {978-3-905673-63-0},
    DOI = {10.2312/LocalChapterEvents/TPCG/TPCG07/195-199}
    }
    URI
    http://dx.doi.org/10.2312/LocalChapterEvents/TPCG/TPCG07/195-199
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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