Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.gmod.2014.03.004 | Graphical Models |
Keywords | Field | DocType |
b-spline,boundary condition,crease,subdivision curve,b spline | B-spline,Boundary value problem,Combinatorics,Subspace topology,Polynomial,Matrix (mathematics),Subdivision,Finite subdivision rule,Knot (unit),Mathematics | Journal |
Volume | Issue | ISSN |
76 | 5 | 1524-0703 |
Citations | PageRank | References |
4 | 0.44 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jirí Kosinka | 1 | 84 | 17.76 |
| Malcolm A. Sabin | 2 | 358 | 60.06 |
| Neil A. Dodgson | 3 | 723 | 54.20 |