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    • 38-Issue 5
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    Dense Point-to-Point Correspondences Between Genus-Zero Shapes

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    Date
    2019
    Author
    Lee, Sing Chun
    Kazhdan, Misha
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    Abstract
    We describe a novel approach that addresses the problem of establishing correspondences between non-rigidly deformed shapes by performing the registration over the unit sphere. In a pre-processing step, each shape is conformally parametrized over the sphere, centered to remove Möbius inversion ambiguity, and authalically evolved to expand regions that are excessively compressed by the conformal parametrization. Then, for each pair of shapes, we perform fast SO(3) correlation to find the optimal rotational alignment and refine the registration using optical flow. We evaluate our approach on the TOSCA dataset, demonstrating that our approach compares favorably to state-of-the-art methods.
    BibTeX
    @article {10.1111:cgf.13787,
    journal = {Computer Graphics Forum},
    title = {{Dense Point-to-Point Correspondences Between Genus-Zero Shapes}},
    author = {Lee, Sing Chun and Kazhdan, Misha},
    year = {2019},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13787}
    }
    URI
    https://doi.org/10.1111/cgf.13787
    https://diglib.eg.org:443/handle/10.1111/cgf13787
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