Multisided B-spline Patches Over Extraordinary Regions

Gerben J. Hettinga, Jiri Kosinka

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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.
Original languageEnglish
Title of host publicationSmart Tools and Apps for Graphics - Eurographics Italian Chapter Conference
EditorsSilvia Biasotti, Ruggero Pintus, Stefano Berretti
PublisherThe Eurographics Association
Number of pages9
ISBN (Print)978-3-03868-124-3
Publication statusPublished - 2020

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