𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algorithms for rational Bézier curves

✍ Scribed by Gerald Farin

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
420 KB
Volume
15
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Higher Order Derivatives of a Rational B
Higher Order Derivatives of a Rational Bézier Curve
✍ Guo-Zhao Wang; Guo-Jin Wang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 212 KB

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

Subdivision of the Bézier curve
Subdivision of the Bézier curve
✍ Gengzhe Chang 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 227 KB

Any segment between two points on a BCzier curve is itself a Bezier curve whose BCzier polygon is expressed explicitly in terms of the sides of the BCzier polygon associated with the original curve.

C-Bézier Curves and Surfaces
C-Bézier Curves and Surfaces
✍ Jiwen Zhang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Using the same technique as for the C-B-splines, two other forms of C-Bézier curves and a reformed formula for the subdivisions are proposed. With these new forms, C-Bézier curves can unify the processes for both the normal cases, and the limiting case (α → 0) with precise results. Like the C-B-spli

Curve Fitting with Bézier Cubics
Curve Fitting with Bézier Cubics
✍ Lejun Shao; Hao Zhou 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 347 KB

An image's outline cannot be fitted by a single cubic Be ´zier curve piece if it contains corners. Corners are points In this paper, a new curve-fitting algorithm is presented. This algorithm can automatically fit a set of data points with at which the outline's directions take a sharp turn, or the