Citation for published version (APA): 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 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.  Our goal is to find subdivision rules at creases in arbitrary degree subdivision for piecewise 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.
A matrix-based approach to creases on arbitrary-degree subdivision curves was introduced in REF .
Creases and boundary conditions for subdivision curves
Graph. Model.
Graph. Model.
Mathematics Computer Science