Abstract
The monotone curvature condition for rational quadratic B-spline curves is studied by using Bernstein base transformation. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.
| Original language | English |
|---|---|
| Pages (from-to) | 119-127 |
| Number of pages | 9 |
| Journal | Journal of Information and Computational Science |
| Volume | 4 |
| Issue number | 1 |
| State | Published - Mar 2007 |
| Externally published | Yes |
Keywords
- Monotone curvature
- Rational quadratic B-spline curve
- Rational quadratic Bezier curve