Linear precision of rational Bézier curves
✍ Scribed by Gerald Farin; Donghak Jung
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 86 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0167-8396
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📜 SIMILAR VOLUMES
In this paper, a convenient and effective recurrence formula for the higher order derivatives of a rational degree \(n\) Bézier curve is derived. The \(\operatorname{sth}(s=1,2, \ldots)\)-order derivatives of this curve can be represented as a fraction whose numerator is a vector expression of degre
We present an iteration method for the polynomial approximation of rational Bézier curves. Starting with an initial Bézier curve, we adjust its control points gradually by the scheme of weighted progressive iteration approximations. The L p -error calculated by the trapezoidal rule using sampled poi