Creases and boundary conditions for subdivision curves
journal contribution
posted on 2020-07-21, 21:53 authored by J Kosinka, M Sabin, Neil DodgsonNeil DodgsonOur goal is to find subdivision rules at creases in arbitrary degree subdivision for piece-wise polynomial curves, but without introducing new control points e.g. by knot insertion. Crease rules are well understood for low degree (cubic and lower) curves. We compare three main approaches: knot insertion, ghost points, and modifying subdivision rules. While knot insertion and ghost points work for arbitrary degrees for B-splines, these methods introduce unnecessary (ghost) control points. The situation is not so simple in modifying subdivision rules. Based on subdivision and subspace selection matrices, a novel approach to finding boundary and sharp subdivision rules that generalises to any degree is presented. Our approach leads to new higher-degree polynomial subdivision schemes with crease control without introducing new control points. © 2014 The Authors. Published by Elsevier Inc.
Funding
Unifying NURBS and subdivision: Extracting sparse shape descriptions using NURBS-compatible subdivision
Engineering and Physical Sciences Research Council
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Preferred citation
Kosinka, J., Sabin, M. & Dodgson, N. (2014). Creases and boundary conditions for subdivision curves. Graphical Models, 76(5), 240-251. https://doi.org/10.1016/j.gmod.2014.03.004Publisher DOI
Journal title
Graphical ModelsVolume
76Issue
5Publication date
2014-09-01Pagination
240-251Publisher
Elsevier BVPublication status
PublishedContribution type
ArticleOnline publication date
2014-04-03ISSN
1524-0703eISSN
1524-0711Language
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