Multisided B-spline Patches Over Extraordinary Regions

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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
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.
Description

        
@inproceedings{
10.2312:stag.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
} }
Citation