Name
Abstract | ||
|---|---|---|
We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user's perspective. © 2011 Journal of Zhejiang University Science Editorial Office and Springer-Verlag Berlin Heidelberg. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1631/jzus.C1000381 | 浙江大学学报C辑(计算机与电子)(英文版) |
Keywords | Field | DocType |
Degree elevation,Non-uniform B-spline,Shape parameter | Spline (mathematics),B-spline,Mathematical optimization,Polygon,Parameterized complexity,Mathematical analysis,Computer science,Bézier curve,Shape parameter,Elevation,Geometry,Knot (unit) | Journal |
Volume | Issue | ISSN |
12 | 10 | 1869196X |
Citations | PageRank | References |
1 | 0.36 | 19 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juan Cao | 1 | 38 | 7.92 |
| Guozhao Wang | 2 | 398 | 37.24 |