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.
Originele taal-2English
TitelSmart Tools and Apps for Graphics - Eurographics Italian Chapter Conference
RedacteurenSilvia Biasotti, Ruggero Pintus, Stefano Berretti
UitgeverijThe Eurographics Association
Aantal pagina's9
ISBN van geprinte versie978-3-03868-124-3
StatusPublished - 2020

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