Name
Abstract | ||
|---|---|---|
We propose a new surface representation, the Generalized B-spline (GBS) patch, that combines ribbon interpolants given in B-spline form. A GBS patch can connect to tensor-product B-spline surfaces with arbitrary G(m) continuity. It supports ribbons not only along the perimeter loop, but also around holes in the interior of the patches.This is a follow-up paper of a recent publication(Varady et al., 2020) that described multi-sided Bezier surfaces over curved multi-sided domains. While the fundamental concept is retained, several new details have been elaborated. The weighting functions are modified to be products of B-spline and Bernstein basis functions, multiplied by rational terms. A new local parameterization method is introduced using harmonic functions, that handles periodic hole loops, as well. Interior shape control is adapted to the B-spline representation of the ribbons. Several examples illustrate the capabilities of the proposed scheme. Our implementation is based on a computationally efficient discretization. (C) 2021 The Author(s). Published by Elsevier B.V. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.cagd.2021.102019 | COMPUTER AIDED GEOMETRIC DESIGN |
Keywords | DocType | Volume |
General topology surfaces, Multi-sided patches, Curved domain, Holes, Harmonic functions | Journal | 89 |
ISSN | Citations | PageRank |
0167-8396 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Márton Vaitkus | 1 | 1 | 1.70 |
| Tamás Várady | 2 | 14 | 4.31 |
| PéTer Salvi | 3 | 28 | 4.58 |
| Ágoston Sipos | 4 | 0 | 0.34 |