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    Multisided B-spline Patches Over Extraordinary Regions

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    Date
    2020
    Author
    Hettinga, Gerben J.
    Kosinka, Jiri
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    Abstract
    We propose a generalised B-spline construction that extends uniform bi-degree B-splines to multisided regions spanned over extraordinary regions in quad-dominant meshes. We show how the structure of the existing cubic multisided B-spline patch can be generalised to work with B-spline basis functions of arbitrary degree and can be spanned over extraordinary vertices as well as extraordinary faces of quad-dominant meshes. The resulting multisided surfaces are Cd-1 continuous internally and connect with Gd-1 continuity to adjacent regular and other multisided B-splines patches. In addition, we design several specialised functions that increase the visual quality of the patches, in both the extraordinary vertex and face settings.
    BibTeX
    @inproceedings {ag.20201235,
    booktitle = {Smart Tools and Apps for Graphics - Eurographics Italian Chapter Conference},
    editor = {Biasotti, Silvia and Pintus, Ruggero and Berretti, Stefano},
    title = {{Multisided B-spline Patches Over Extraordinary Regions}},
    author = {Hettinga, Gerben J. and Kosinka, Jiri},
    year = {2020},
    publisher = {The Eurographics Association},
    ISSN = {2617-4855},
    ISBN = {978-3-03868-124-3},
    DOI = {10.2312/stag.20201235}
    }
    URI
    https://doi.org/10.2312/stag.20201235
    https://diglib.eg.org:443/handle/10.2312/stag20201235
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