Title
Multi-Sided B-Spline Surfaces Over Curved, Multi-Connected Domains
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 Vaitkus111.70
Tamás Várady2144.31
PéTer Salvi3284.58
Ágoston Sipos400.34