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- W4238988891 abstract "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." @default.
- W4238988891 created "2022-05-12" @default.
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- W4238988891 date "2020-07-21" @default.
- W4238988891 modified "2023-10-16" @default.
- W4238988891 title "Creases and boundary conditions for subdivision curves" @default.
- W4238988891 doi "https://doi.org/10.26686/wgtn.12685799" @default.
- W4238988891 hasPublicationYear "2020" @default.
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