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Creases and boundary conditions for subdivision curves

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journal contribution
posted on 21.07.2020 by J Kosinka, M Sabin, Neil Dodgson
Our 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 | Funder: Engineering and Physical Sciences Research Council | Grant ID: EP/H030115/1

History

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.2014.03.004

Journal title

Graphical Models

Volume

76

Issue

5

Publication date

01/09/2014

Pagination

240-251

Publisher

Elsevier BV

Publication status

Published

Contribution type

Article

Online publication date

03/04/2014

ISSN

1524-0703

eISSN

1524-0711

Language

en

Exports