Name
Abstract | ||
|---|---|---|
We present an algorithm for generating a piecewise G(1) circular spline curve from an arbitrary given control polygon. For every corner a circular biarc is generated with each piece being parameterized by its are length. This is the first subdivision scheme that produces a piecewise biarc curve that can interpolate an arbitrary set of points. It is easily adopted in a recursive subdivision surface scheme to generate surfaces with circular boundaries with pieces parameterized by are length, a property not previously available. As an application, a modified version of Doo-Sabin subdivision algorithm is outlined making it possible to blend a subdivision surface with other surfaces having circular boundaries such as cylinders. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1111/1467-8659.00473 | COMPUTER GRAPHICS FORUM |
Keywords | Field | DocType |
recursive subdivision, NURBS, parameterization, arc length, blending | Spline (mathematics),Mathematical analysis,Subdivision surface,Artificial intelligence,Biarc,Piecewise,Computer vision,Topology,Polygon,Arc length,Subdivision,Finite subdivision rule,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 1 | 0167-7055 |
Citations | PageRank | References |
4 | 0.46 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ahmad H. Nasri | 1 | 430 | 121.97 |
| Cornelius W. A. M. van Overveld | 2 | 163 | 15.77 |
| Brian Wyvill | 3 | 1130 | 278.50 |