Variational design of smooth rational Bézier curves. (English) Zbl 0753.65014
A fundamental idea of the rational Bézier and \(B\)-spline algorithms is to evaluate and manipulate the curves and surfaces by a small number of control points and weights.
The authors describe an algorithm for determining the weights of a rational Bézier curve in a way as to achieve a smooth curve in the sense of an energy integral. Some examples of rational cubic curves are presented to illustrate the concept.
The authors describe an algorithm for determining the weights of a rational Bézier curve in a way as to achieve a smooth curve in the sense of an energy integral. Some examples of rational cubic curves are presented to illustrate the concept.
Reviewer: G.Grozev (Montreal)
MSC:
| 65D17 | Computer-aided design (modeling of curves and surfaces) |
| 65D07 | Numerical computation using splines |
| 65D10 | Numerical smoothing, curve fitting |
Keywords:
smoothing; \(B\)-spline algorithms; control points; weights; rational Bézier curve; rational cubic curvesReferences:
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